What is 713. 49 written in standard form

Answers

Answer 1

The number 713.49 is already written in standard form.

What is 713. 49 written in standard form?

Standard form, also known as standard notation or scientific notation, is a way of writing numbers using digits and decimal places. In standard form, a number is written with one digit to the left of the decimal point and the remaining digits to the right of the decimal point.

For example, the number 7,134.9 would be written in standard form as 7,134.9. The number 713.49 is already written in this format, so there is no need to convert it to standard form.

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Related Questions

five cards are chosen at random from an ordinary deck of 52 (without replacement). what is the probability that you get four of a kind, which means four cards of the same rank, and one other card? examples are : 4444q or jjjj7.

Answers

So the probability of getting four cards of the same rank and one other card is approximately 0.00096, or about 1 in 1,040.

What is probability?

Probability is a measure of the likelihood or chance of an event occurring. It is a numerical value between 0 and 1, where 0 indicates that the event is impossible and 1 indicates that the event is certain to occur. The probability of an event happening can be calculated by dividing the number of favorable outcomes by the total number of possible outcomes. For example, the probability of rolling a six on a fair six-sided die is 1/6, because there is only one favorable outcome (rolling a six) out of six possible outcomes (rolling a one, two, three, four, five, or six). Probability theory is widely used in mathematics, statistics, physics, engineering, economics, and many other fields to model and analyze uncertain situations and make predictions based on incomplete or imperfect information. It has many practical applications, such as in insurance, gambling, risk assessment, and scientific research.

Here,

To calculate the probability of getting four of a kind and one other card, we need to count the number of possible hands that satisfy this condition and divide it by the total number of possible hands.

First, we need to count the number of possible hands that contain four of a kind and one other card. There are 13 ranks in a deck of cards, and for each rank, there are 48 ways to choose four cards of that rank and 4 ways to choose one card of another rank (there are 4 cards of each rank in a deck). Therefore, the total number of hands that contain four of a kind and one other card is:

13 x 48 x 4 = 2,496

Next, we need to count the total number of possible hands of five cards that can be chosen from a deck of 52 cards without replacement. This is given by the formula:

52 choose 5 = 2,598,960

Therefore, the probability of getting four of a kind and one other card is:

2,496 / 2,598,960 = 0.00096 (rounded to 5 decimal places)

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In a scale drawing of a garden, a distance of 35 ft is represented by a line segment 4 inches long.On the same drawing what distance is represent by a line segment 14 inches long?

Answers

Answer:

122.5 feet

Step-by-step explanation:

[tex]\frac{4}{35}[/tex] = [tex]\frac{14}{x}[/tex]  cross multiply and solve for x

4x = 490  Divide both sides by 4

x = 122.5

PLEASE HELP
tell whether the lines for each pair of equations are parallel perpendicular or neither
y=-5/6x-4
-10x-12y=-18

Answers

The relationship between the lines is (a) parallel

How to determine the relationship between the lines

From the question, we have the following parameters that can be used in our computation:

y =-5/6x - 4

-10x - 12y = -18

To determine if the two lines are parallel or not we need to compare their slopes.

Make y the subject

y = -5/6x - 4

y = -5/6x  + 3/2

A linear equation represented as

y = mx + c

...has its slope to be m

Using the above as a guide, we have the following:

Slope of the first line = -5/6Slope of the second line = -5/6

Since the slopes are equal, the two lines are parallel.

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A box has a length of 10 inches, a width of 8 3/4 inches, and a height of 4 1/4 inches. How many cubes with a side length of 1/4 inch will be necessary to fill the box?

Answers

A total of 23800 cubes can fit inside the box of the given dimensions.

What is the volume of cube?

The volume of a cube is given by -

Volume = a x a x a = a³

Given is that a box has a length of 10 inches, a width of 8[tex]\frac{3}{4}[/tex] inches, and a height of 4[tex]\frac{1}{4}[/tex] inches.

The volume of the box would be -

V = 10 x 8[tex]\frac{3}{4}[/tex] x 4[tex]\frac{1}{4}[/tex]

V = 10 x 35/4 x 17/4

V = 371.875 inches³

The volume of cube -

v = 1/4 x 1/4 x 1/4

v = 0.015625 inches³

Number of cubes that will fill the box would be -

n = V/v

n = 371.875/0.015625

n = 23800

Therefore, a total of 23800 cubes can fit inside the box of the given dimensions.

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calculate the hire purchase plan
regular price $4 049
Warranty $599
interest rate 54%
36 monthly instalments​

Answers

The hire purchase plan, regular price $4 049, Warranty $599, interest rate 54% with36 monthly instalments​ is $216.45.

What is the amount of a fixed period payment to be done to pay off the loan amount which is increasing compoundly?

Suppose we're given that:

P_v = Present value of the loan amount

r = rate of interest (compound interest) per period of time

n = number of period of time in which loan is to be paid off

P = A fixed period payment needed to be done for paying off the loan in n number of periods.

Then, we get:

[tex]P = \dfrac{r\times P_v}{1 - (1 + r)^{-n}}[/tex]

We are given that;

Price = $4049

Warranty= $599

Interest rate=54%

Number of installments= 36

Now,

Assuming no down payment, the total cost of the purchase with the warranty is $4,049 + $599 = $4,648.

The interest rate is 54% per annum, which translates to a monthly interest rate of 54%/12 = 4.5%.

Using the formula for the monthly payment in a hire purchase plan:

Monthly payment = Total cost / Number of months / (1 - 1 / (1 + monthly interest rate)^number of months)

Plugging in the values, we get:

Monthly payment = $4,648 / 36 / (1 - 1 / (1 + 4.5%)^36)

= $4,648 / 36 / (1 - 1 / 2.7223)

= $4,648 / 36 / 0.6322

= $216.45

Therefore, the monthly payment in this hire purchase plan will be $216.45.

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Determine if the ordered pair [1,-5] is a solution of 3x-2y=13

Answers

Yes, the ordered pair [1,-5] is a solution of 3x-2y=13. Because when evaluating the ordered pair in the equation it is true.


How to determine if the ordered pair [1,-5] is a solution of 3x-2y=13?

To determine if an ordered pair is a solution to an equation, we can plug in the values of the ordered pair into the equation and see if the equation is true.

In this case, the ordered pair is [1,-5], which means x=1 and y=-5. We can plug these values into the equation 3x-2y=13 and see if it is true:

3(1) - 2(-5) = 13

3 + 10 = 13

13 = 13

Since the equation is true, the ordered pair [1,-5] is a solution of 3x-2y=13.

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The cost of painting a circular traffic sign is $2,50 per sq foot. How much will it cost to paint the sign if its diameter is 36 in.

Answers

Step-by-step explanation:

Traffic sign painting cost

The cost of painting a circular traffic sign is $2,50 per sq foot. How much will it cost to paint the sign if its diameter is 36 in.

We can start by finding the area of the circular traffic sign, using the formula for the area of a circle:

A = πr^2

where A is the area of the circle, π is the mathematical constant pi (approximately 3.14), and r is the radius of the circle. We are given the diameter of the circle, which is 36 inches. The radius is half of the diameter, so we have:

r = 36/2 = 18 inches

We need to convert the radius from inches to feet, since the cost of painting is given per square foot. There are 12 inches in a foot, so:

r = 18/12 = 1.5 feet

Now we can find the area of the circle:

A = πr^2 = π(1.5)^2 ≈ 7.07 square feet

Finally, we can calculate the cost of painting the sign:

cost = $2.50/sq ft x 7.07 sq ft ≈ $17.68

Therefore, it will cost approximately $17.68 to paint the circular traffic sign

Write an additional equation that will complete the system of equations with no solution, one solution, and infinitely many solutions. The equation: -6y + 5x = -18

Answers

(a) The additional equation that will complete the system of equations with no solution is -2x + 3y = 7 and 4x - 6y = -16.

(b) The additional equation that will complete the system of equations with  one solution is 2x + y = 8 and 3x - 2y = 7

(b) The additional equation that will complete the system of equations with infinitely many solutions is 4x - 6y = 12 and 2x - 3y = 6

What are the additional equations required?

Some additional equations that can complete systems with no solution, one solution, and infinitely many solutions:

No solution:

-2x + 3y = 7

4x - 6y = -16

One solution:

2x + y = 8

3x - 2y = 7

Infinitely many solutions:

4x - 6y = 12

2x - 3y = 6

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The speed of sound in air is about 1225 kilometers per hour. The speed of sound in seawater is about 1520 meters per second. Does sound travel faster in air or in seawater? How many times faster?

Answers

The speed of sound in seawater is around 4.46 times faster than speed of sound in air.

Conversion of units:

Unit conversion is the process of converting the measurement of a given quantity between different units, often by multiplicative conversion factors that modify the value of the measured quantity without altering

its effects.

Speed of Sound:

Speed of sound, the rate at which sound waves move through various substances. Modern estimates of the speed of sound, specifically for dry air at a temperature of 0 °C (32 °F), are 331.29 metres (1,086.9 feet) per second.

Now in the given question ,

speed of sound in air is 1225 km/hr.

speed of sound in sea water = 1520 m/s.

To compare the speed of sound we have to make them in same unit form.

So , we will change speed of sound in air in m/s.

speed of sound in air = 1225 km/hr

                                     [tex]=\frac{1225*1000}{60*60} m/s\\\\=\frac{12250}{36} m/s\\\\=340.28m/s[/tex]

So , it can be clearly seen that speed of sound in air is less than speed of sound in  seawater.

Also , the speed of sound in seawater is around 4.46 times faster than speed of sound in air.

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The base of a triangle is 5 inches more than 2 times the height. If the area of the triangle is 9 square inches, find the base and height

Answers

The base of the triangle is 9 inches and the height is 2 inches.

Let's denote the height of the triangle as h, and the base as b.

We know that the area of a triangle is given by the formula:

Area = (1/2) * base * height

Substituting the values we have:

9 = (1/2) * b * h

Multiplying both sides by 2 gives:

18 = b * h

We also know that the base is 5 inches more than 2 times the height:

b = 2h + 5

Substituting this expression for b in terms of h in the area equation, we get:

18 = (2h + 5) * h

Expanding the right-hand side, we get:

18 = 2h^2 + 5h

Rearranging this equation, we get:

2h² + 5h - 18 = 0

We can solve for h by using the quadratic formula:

h = [-b ± [tex]\sqrt{b² - 4ac}[/tex]] / 2a

where a = 2, b = 5, and c = -18.

Plugging these values into the formula, we get:

h = [-5 ± [tex]\sqrt{5^{2} - 4(2)(-18) }[/tex]] / (2 * 2)

Simplifying:

h = [-5 ± [tex]\sqrt{169}[/tex]] / 4

Taking the positive solution:

h = [-5 + 13] / 4

h = 2

Now that we know the height is 2 inches, we can use the equation b = 2h + 5 to find the base:

b = 2(2) + 5 = 9

Therefore, the base of the triangle is 9 inches and the height is 2 inches.

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what is 698347+2834619 times 3 Ill give brainliest

Answers

First, we need to perform the calculation within the parentheses:

698347 + 2834619 = 3532966

Then, we can multiply the result by 3:

3532966 x 3 = 10598898

Therefore, 698347+2834619 times 3 is equal to 10598898.

Pick out the prime numbers from the following numbers :

16,13,19,27,54,51,2,73,87,89



19,27,54,73,87



13,19,2,73,89



13,2,73,89,87



13,2,27,51,73

Answers

Answer:

13,19,2,73,89

Step-by-step explanation:

all of these numbers can't be divided by any number but 1 and the number itself

cos 0=5/13 and sin 0 0. identify the quadrant of 0 and find sin 0

Answers

The solution is, sin∅ = 12/13 & theta is placed on the second quadrant.

that means  the answer is C.

What is Pythagorean theorem?

Pythagorean theorem, the well-known geometric theorem that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse (the side opposite the right angle)—or, in familiar algebraic notation, a2 + b2 = c2.

here, we have,

Let's solve the equation for theta

cos∅=5/13

so, we get,

∅ ≈ 112.6

This means angle theta is placed on the second quadrant.

We use Pythagorean's Theorem to find the other leg to find the sine function.

13² = 5² + x²

so, we get,

x = 12

It's important to know that the sine function is equivalent to the ratio between the opposite leg and the hypothenuse, and it has to be positive because sine functions are positive when the angle is on the second quadrant.

sin∅ = 12/13

Hence, the answer is C.

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Under her cell phone plan, Piper pays a flat cost of $38.50 per month and $5 per gigabyte, or part of a gigabyte. (For example, if she used 2.3 gigabytes, she would have to pay for 3 whole gigabytes.) She wants to keep her bill under $60 per month. What is the maximum whole number of gigabytes of data she can use while staying within her budget?

Answers

x must be a whole number, the maximum whole number of gigabytes of data Piper can use while staying within her budget is 4.

What is the inequality?

An inequality is a mathematical statement that compares two expressions using one of the inequality symbols: < (less than), > (greater than), ≤ (less than or equal to), ≥ (greater than or equal to), or ≠ (not equal to).

Let x be the number of whole gigabytes of data Piper can use while staying within her budget.

Her cost for data usage would be $5 per gigabyte, so her total cost would be:

Total Cost = $38.50 + $5x

The problem states that she wants to keep her bill under $60 per month, so we can set up an inequality:

$38.50 + $5x ≤ $60

Subtracting $38.50 from both sides, we get:

$5x ≤ $21.50

Dividing both sides by $5, we get:

x ≤ 4.3

Hence, x must be a whole number, the maximum whole number of gigabytes of data Piper can use while staying within her budget is 4.

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draw the front view, side view and the top view of the given figure.​

Answers

To draw the different views of this figure we must simulate its rotation to see it from different angles. In the attached image are the different views.

How to draw the different views of this figure?

To draw the different views of this figure we must take into account its shape. In this case we have a figure made up of four squares. Three of them are aligned and one of them is in the middle zone.

According to the above, to draw the views we must simulate rotations of this figure to establish its views. In the attached image are the views. In the top view you would only see two squares, in the front view you would see three squares and in the side view you would see all four squares.

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what is 105 lbs to kg?

Answers

The value of 105 lbs into kilogram can be converted by multiplying pounds by 0.453592 so the answer is 47.627 kilograms.

Unit conversion is the process of converting the measurement of a given amount between various units, often by multiplicative conversion factors that alter the value of the measured quantity without altering its effects.

The SI unit of mass is the kilogramme (kg). It has the same mass as the international kilogramme prototype. The International Bureau of Weights and Measures maintains a platinum-iridium international prototype similar to this one. A kilogramme is about equivalent to 2.20462262184878 pounds.

The legal definition of a pound, or the international avoirdupois pound, is 0.45359237 kilogrammes.

105 x 0.45359237 = 47.62719885

105 lbs ≈ 47.63 kg

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Please help I’ll give brainliest

Answers

The sum of the algebraic expressions 8x - 2 and -3x² - 7 is given as follows:

-3x² + 8x - 9.

How to add the algebraic expressions?

The algebraic expressions for this problem are defined as follows:

8x - 2.-3x² - 7.

To add them, we must combine the like terms, that is, add the terms that have the same variable and exponent, which are given as follows:

Like terms with x²: -3x².Like terms with x: 8x.Constant like terms: -2 - 7 = -9.

Hence the sum has the result given as follows:

-3x² + 8x - 9.

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how to convert milliliters to cups

Answers

The conversion of millilitres to cups varies by nation because various countries define a cup differently.  but as per the US standards 1 cup = 236.588 ml.

In the United States, one cup equals 236.588 millilitres, but in the United Kingdom, one cup equals 284.131 millilitres.

As a result, we may write by the standard unit conversion that 1 cup = 236.588 ml.

For consistent outcomes in cooking and baking, exact ingredient proportions are essential. As a result, we apply the relation 1 cup = 236.588 ml to do the conversion as needed.  

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25
An expression is shown below.
2/3
3a + 3b + 8
Place a check mark next to each equivalent expression.
A. O 3a + 3b + (8 + 4) − 4
B. O −(−¾a + ½¾⁄b + 8)
c.
(a + b + 8)
(3a + 3b + 8) × ²1/1
E.O a + b + 0 × c + 8
D. 6 x

Answers

Answer: To determine which expressions are equivalent to the given expression, we need to simplify the given expression first:

2/3 (3a + 3b + 8) = 2a + 2b + 16/3

Now we can check which expressions are equivalent to this simplified expression:

A. 3a + 3b + (8 + 4) − 4 = 3a + 3b + 8, not equivalent

B. −(−¾a + ½¾⁄b + 8) = 3/4 a - 3/2 b - 8, not equivalent

C. (a + b + 8) (3a + 3b + 8) × ²1/1 = (3a^2 + 9ab + 24a + 3b^2 + 24b + 64)/1, not equivalent

D. 6x = 6x, not equivalent

E. a + b + 0 × c + 8 = a + b + 8, not equivalent

None of the expressions is equivalent to the given expression 2/3 (3a + 3b + 8).

Step-by-step explanation:

Is {(-7, 20), (3, 5), (0, 5), (-2, 0), (6, -4), (-6, -9), (4, 4)} a function? Explain why

Answers

The given set of points {(-7, 20), (3, 5), (0, 5), (-2, 0), (6, -4), (-6, -9), (4, 4)} is a function since each x-value has a unique y-value.

To determine whether the given set of points is a function or not, we need to check if each input (x-value) corresponds to exactly one output (y-value).

Let's first list the x-values in the set: -7, 3, 0, -2, 6, and -6.

Now, we need to check if each of these x-values has a unique y-value. We can see that:

The point (-7, 20) has an x-value of -7 and a y-value of 20.

The point (3, 5) has an x-value of 3 and a y-value of 5.

The point (0, 5) has an x-value of 0 and a y-value of 5.

The point (-2, 0) has an x-value of -2 and a y-value of 0.

The point (6, -4) has an x-value of 6 and a y-value of -4.

The point (-6, -9) has an x-value of -6 and a y-value of -9.

The point (4, 4) has an x-value of 4 and a y-value of 4.

We can see that each of the x-values has a unique y-value. Therefore, this set of points is a function.

In fact, we can even represent this function using set-builder notation as:

{ (x, y) | x ∈ {-7, 3, 0, -2, 6, -6, 4}, y is the corresponding y-value for x }

or using a mapping notation as:

f = { (-7, 20), (3, 5), (0, 5), (-2, 0), (6, -4), (-6, -9), (4, 4) }

where f(x) is the corresponding y-value for x.

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during the summer vacation, 35 students out of 100 took up music classes, 45 students took up dance classes, and 30 students did not take up either music or dance classes. if a student is chosen at random, what is the probability that the student took both music and dance classes?

Answers

The probability that a student took both music and dance classes is 0.1.

What is the probability?

Probability in mathematics is the possibility of an event in time. In simple words how many times does that incident is happening in any given time interval?

From the information given, we know that:

35 students took music classes, which includes x and y.

45 students took dance classes, which includes y and z.

30 students did not take either music or dance classes, which includes the area outside the circles.

We can also see that the total number of students is 100, so the sum of all the areas in the Venn diagram must be 100.

Therefore, we can set up the equation:

x + y + z + 30 = 100

Simplifying, we get:

x + y + z = 70

We want to find the probability that a student took both music and dance classes, which is the area of the overlap between the music and dance circles (represented by y) divided by the total number of students (100).

So, the probability is:

y/100

To find y, we can use the formula:

y = (total in music) + (total in dance) - (total in both)

y = 35 + 45 - (x + y + z)

Substituting x + y + z = 70, we get:

y = 35 + 45 - 70 = 10

Therefore, the probability that a student took both music and dance classes is:

y/100 = 10/100 = 0.1

Therefore, the probability is 0.1 or 10%.

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Approximately what percent of the values in a distribution lie between the 25th percentile and the 75th percentile? A. 75%. B. 25%. C. 50%.
D. 60%.

Answers

Option C. 50%. The interquartile range (IQR) is the difference between the 25th percentile (Q1) and the 75th percentile (Q3) of a distribution, and it contains the middle 50% of the data.

Approximately half of the data values in a distribution lie between Q1 and Q3. This range provides valuable information about the spread of the data and helps identify potential outliers. By knowing the IQR, one can make informed decisions about the data and gain a better understanding of the population it represents. This is useful in understanding the spread of data and identifying outliers. Knowing the IQR can help in making decisions about the data and the underlying population it represents.

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Average health premiums have been increasing at a rate of 5% per year. If an average familys premiums are $11,430 this year, what will they be in 2 years

Answers

The compound interest of average family's health premiums will be approximately $12,593.25 in 2 years.

What is compound interest?

Compound interest is interest that is calculated not only on the initial principal but also on the accumulated interest of previous periods. This means that the interest earned each period is added to the principal, and then the interest is calculated on the new, higher principal for the next period. In other words, it is interest on interest. Compound interest can be contrasted with simple interest, which is calculated only on the principal amount. Compound interest can lead to significant growth in investment or debt over time, depending on the interest rate and the length of time.



Given by the question:
To solve the problem, we need to use the formula for compound interest:

[tex]A = P(1 + r)^n[/tex]

where A is the final amount, P is the initial amount, r is the annual interest rate as a decimal, and n is the number of years.

In this case, the initial amount is $11,430, the annual interest rate is 5% or 0.05, and we want to find the final amount in 2 years. So we have:

[tex]A = 11,430(1 + 0.05)^2[/tex]

[tex]A = 11,430(1.1025)[/tex]

[tex]A = 12,593.25[/tex]

Therefore, the average family's health premiums will be approximately $12,593.25 in 2 years.

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QUICK

in the triangle the length of side b is 7 the m
i will need to label the triangle and all work for finding missing sides there will be two separate equations that you solve circle your final answer

Answers

Answer:

Where is the angle so I can help you?

Destiny wants to know if a quadrilateral can be rotated so that each side is parallel to the corresponding side of its image.

Which statement is true?
A) This is possible only for 180° rotations.

B) This is possible for all types of rotations.

C) This is possible for any clockwise rotation.

D) This is not possible for any type of rotation.

Answers

Answer:

  A) Only for 180° rotations

Step-by-step explanation:

You want to know if a quadrilateral can be rotated so that each side is parallel to the corresponding side of its image.

Rotation

In general, a line segment's image will be parallel to the original if it is rotated 180°. Hence the line segments that make up a quadrilateral's image will be parallel to corresponding sides if the quadrilateral is rotated 180°.

The attachment shows a quadrilateral rotated 180°.

__

Additional comment

We assume that the "corresponding side" of AB is A'B' in the image.

If square ABCD is rotated 90°, then side AB will be parallel to side B'C', and the same will be true for 3 other pairs of sides. For the purpose of this question, we don't consider AB and B'C' to be "corresponding" sides.

What does CDE describea minor arca major arca semicirclea chord

Answers

Answer: CDE can describe a minor arc, a major arc, a semicircle, or a chord, depending on the context in which it is used. Here are the definitions of each of these terms:

A minor arc is an arc of a circle that is smaller than a semicircle. It is named after the two endpoints of the arc. So, CDE would be a minor arc if it is a part of a circle.

A major arc is an arc of a circle that is larger than a semicircle. It is also named after the two endpoints of the arc. So, CDE would be a major arc if it is a part of a circle and spans more than 180 degrees.

A semicircle is an arc of a circle that is exactly half of the circle. It is named after the two endpoints of the diameter that it cuts. So, CDE would be a semicircle if it is a part of a circle and spans exactly 180 degrees.

A chord is a line segment that connects two points on the circle. It is named after the two endpoints of the segment. So, if CDE is a line segment that connects two points on a circle, then it would be a chord.

Step-by-step explanation:

how many radians in a circle

Answers

There are a total of 2π Radians in a circle that is equal to 360°.

A circle is the locus of all those points which are at the same distance from a particular point called center in any plane. A radian is basically another unit of measuring the angle, it is equivalent to the standard degrees measures that we use commonly to find an angle.

When we make a circle, the angle it makes is equal to 360°. This is a characteristics property of a circle.

Now, we know,

π Radians = 180°

2 x 180° = 2xπ Radians

360° = 2π Radians

So, the circle will have a total of 2π Radian in it.

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HELP ME IM GONNA FAIL SCHOOL IF I DONT GET THIS RIGHT

1.Two adjacent angles form a resulting angle of 135°. ∠1=(2x)° and ∠2=(2x+7)°. What are the two unknown angles


∠1= _ ∠2=_



2. A figure displays two complementary nonadjacent angles. If one of the angles has a measure of 39°, what is the other angle measure?




3. A figure shows two nonadjacent angles (2x+3)° and 2x°. If the angles are complementary, what is the equation for the angles?


(_)° + 2x° = _°




4. Two complementary angles are expressed as 2x and 3x. What is the value of x and the two angle measures?


x = _, 2x = _°, and 3x = _°





5. Angles j and k are supplementary angles. What is the measure of angle j if angle k=117°?



6. Two supplementary angles are ∠ABC=105° and ∠CBD=(3x−24)°. What is the equation to solve for x?


3x° + _° = _°




7. Two angles are supplementary. ∠ACB=4x° and ∠BCD=6x+50°. What is the measure of ∠ACB?


∠ACB = _°




8. look at attachment with the 8 on it



9.attachment with the 9 drawn on it




10. the attachment with 10 on it




11. For two vertical angles where ∠1=2x+26° and ∠3=3x−32°, what is the measure of each angle?


12. (ESSAY) In a diagram, ∠A and ∠B are vertical angles, and ∠B is a complementary angle with ∠C. If ∠A=22°, write an equation that you can use to solve for ∠C

Answers

The solution for each parts is shown below.

What is Vertical Angle?

Where two lines intersect, there are two vertical angles.

Given:

1. Two adjacent angles

<1 + <2 = 135

2x + 2x+ 7 = 135

4x + 7 = 135

4x = 128

x= 32

2. If one of the angles has a measure of 39° then other angle is

= 90 - 39

= 51 degree.

3. The angles are complementary.

2x + 3 + 2x = 90

4. Two complementary angles are expressed as 2x and 3x.

2x + 3x= 90

5x = 90

x = 18

So, 2x = 36 and 3x = 54 degree.

5. Angles j and k are supplementary angles.

<j + <k = 180

<j + 117 = 180

<j = 63

6. Two supplementary angles are ∠ABC=105° and ∠CBD=(3x−24)°.

105 + 3x -24 = 180

3x + 81 = 180

7. Two angles are supplementary. ∠ACB=4x° and ∠BCD=6x+50°.

<ACB + <BCD = 180

4x + 6x + 50 = 180

10x = 130

x= 13

8. For two vertical angles where ∠1=2x+26° and ∠3=3x−32°

<1 = < 3

2x + 26 = 3x -32

2x - 3x = -32 - 26

-x =-58

x= 58

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Trade tariffs and quotas are designed to protect:
O a.
foreign aid.
O b.
international trade.
O C.
foreign producers.
O d.
domestic producers.

Answers

Answer: d) domestic producers

Explanation: The main objective of tariffs and quotas is to protect the domestic industries and jobs from high foreign competition because most commodities imported into countries are usually cheaper because of their low production costs

what is 30 inches in feet?

Answers

As per measurement, 30 inches is equivalent to 2.5 feet.

Measurement is an essential aspect of our daily life, and it helps us to quantify things precisely. The measuring units are used to determine the size, weight, or any physical quantity of an object. It is essential to know the conversions between the measuring units to make the necessary calculations accurately.

In this context, let's discuss the conversion of inches to feet.

Inches and feet are two common units of measurement used for length or distance. Inches are the smaller unit, and feet are the larger unit. One foot is equivalent to 12 inches. Therefore, to convert inches to feet, we divide the given number of inches by 12.

Let's consider we need to convert 30 inches to feet.

30 inches / 12 inches per foot = 2.5 feet

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