Find the length of X

Find The Length Of X

Answers

Answer 1

Answer:

[tex]x=3, x=\frac{17}{4}[/tex]

Step-by-step explanation:

The side opposite to the length of 20 is 7x - 11, whereas the side opposite to an unknown length is 4x - 2. To solve this unknown length, we are given 35 as the total length, so we can do 35-20 = 15, which is the opposite of the length of 4x-2.

Since we know the opposite sides of each side, we can set up these equations since we notice that the lengths are parallel based on what is diagrammed:

[tex]7x-11=20[/tex]

[tex]4x-2=15[/tex]

Now, let's solve for x in [tex]7x-11=20[/tex]:

[tex]7x-11=20[/tex]

[tex]7x=20+11\\7x=21\\x=3[/tex]

Let's solve for x in [tex]4x-2=15[/tex]:

[tex]4x-2=15[/tex]

[tex]4x=15+2\\4x=17\\x=\frac{17}{4}[/tex]


Related Questions

determine if the columns of the matrix form a linearly independent set.[1 4 -3 0 -2 -2 4 1 -4 -5 7 5]

Answers

Hmm, never seen that before. 18 73722

what is 35km in miles?

Answers

Based on the conversion factor, 35km is equivalent to approximately 21.75 miles.

Kilometers and miles are units of distance measurement used in different parts of the world. While kilometers are the standard unit of distance in most countries, miles are widely used in the United States, the United Kingdom, and a few other countries.

A kilometer is approximately 0.621371 miles, which means that 1 mile is roughly 1.609344 kilometers.

To convert 35km to miles, we need to use this conversion factor. We can start by setting up a proportion:

35 km = x miles

1 km = 0.621371 miles

Multiplying both sides by the conversion factor, we get:

35 km x 0.621371 miles/1 km = x miles

Simplifying this expression, we get:

21.748485 miles = x miles

In conclusion, measurements are essential in our daily lives, and knowing how to convert one measurement to another can be beneficial. In this article, we explored what 35km in miles means and how we can convert kilometers to miles. Remember that 1km is approximately 0.621371 miles, and we can use this conversion factor to convert any distance measurement from kilometers to miles or vice versa.

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Find the highest concentration after how many hours

Answers

Using the derivative of the function, we cannot approximate the time when the concentration is highest since it does not exist.

What is the time of highest concentration

To find the time when the concentration is highest, we need to find the maximum of the concentration function. We can do this by finding the derivative of the function and setting it to zero, and then solving for t.

First, let's find the derivative of c(t):

c'(t) = [d/dt](120t / (3t^2 + 90))

c'(t) = (120(3t^2 + 90) - 120t(6t)) / (3t^2 + 90)^2

c'(t) = (360t^2 + 10800 - 720t^2) / (3t^2 + 90)^2

c'(t) = 10800 / (3t^2 + 90)^2

Now, we set c'(t) to zero and solve for t:

10800 / (3t^2 + 90)^2 = 0

10800 = 0 (since the denominator cannot be zero)

There is no solution to this equation, which means that c'(t) never equals zero, and therefore there is no maximum or minimum value for the concentration.

However, we can use the second derivative test to confirm this result. Taking the derivative of c'(t), we get:

c''(t) = d/dt

c''(t) = [d/dt](10800 / (3t^2 + 90)^2)

c''(t) = (-2 * 10800 * 3 * 2t) / (3t^2 + 90)^3

c''(t) = -129600 / (3t^2 + 90)^3

At any value of t, the denominator is positive, so the sign of the second derivative is determined by the numerator. Since the numerator is negative for all values of t, the second derivative is negative and therefore the function is concave down for all values of t. This means that there is no maximum value for the concentration, only a minimum value of 0.

Therefore, we cannot approximate the time when the concentration is highest since it does not exist.

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Select the correct answer from each drop down menu.
the graph of the function f(x) = 5/4sin(x)+1 is shown. what are they key features of this function?

Answers

Answer:

The maximum value of the function is 9/4.

The minimum value of the function is -1/4.

On the interval (0, pi/2), the function is strictly increasing.

The range of the function is [-1/4, 9/4].

Given function is:

y=5/4sin x + 1

:

A taxi makes 56 trips between two cities which are 492 km apart. How much distance does the taxi cover in all?

Answers

Answer:

Step-by-step explanation:

25,584km

A ceramic paperweight is shaped like a square pyramid. The length of the square base and the slant height is shown. What is the height of the paperweight? Round to the nearest tenth of an inch.

4in 3in

Answers

A ceramic paperweight is shaped like a square pyramid. the height of the paperweight is 1 inch.

What is Pythagorean Theorem?

Pythagoras theorem states that “In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides“. The sides of this triangle have been named Perpendicular, Base, and Hypotenuse.

To find the height of the paperweight, we can use the Pythagorean Theorem, which relates the lengths of the sides of a right triangle.

In this case, the height of the paperweight, which is the unknown side, forms a right triangle with one of the slant heights and half the length of the square base, as shown in the diagram below:

     /\  

    /   \

   /      \

  /         \

 /_ _ _ _\

     4 in

To apply the Pythagorean Theorem, we can write:

height² + (1/2 * 4 in)² = 3 in²

Simplifying, we get:

height² + 8 in² = 9 in²

Subtracting 8 in² from both sides, we get:

height² = 1 in²

Taking the square root of both sides, we get:

height = 1 in

Therefore, the height of the paperweight is 1 inch.

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HELP ME math DIVIDE 28 BY 25,704 USING LONG DIVISION

Answers

Answer:

918

Step-by-step explanation:

The physical fitness of an athlete is often measured by how much oxygen the athlete takes in (which is
recorded in milliliters per kilogram, ml/kg). The mean maximum oxygen uptake for elite athletes has been
found to be 69 with a standard deviation of 7.6. Assume that the distribution is approximately normal.
Find the probability that an elite athlete has a maximum oxygen uptake of at least 84.2 ml/kg.
Find the probability that an elite athlete has a maximum oxygen uptake of at most 58.36 ml/kg.
Find the probability that an elite athlete has a maximum oxygen uptake of 58.36 ml/kg.

Answers

The probability that an elite athlete has a maximum oxygen uptake of at least 84.2 ml/kg is 0.0217.The probability that an elite athlete has a maximum oxygen uptake of at most 58.36 ml/kg is 0.0869.The probability that an elite athlete has a maximum oxygen uptake of exactly 58.36 ml/kg is 0.Solving for the Probabilities , we have:

We are given that the distribution of maximum oxygen uptake for elite athletes is approximately normal with mean 69 and standard deviation 7.6.

To find the probability that an elite athlete has a maximum oxygen uptake of at least 84.2 ml/kg, we need to standardize the value using the formula:

z = (x - μ) / σ

where,

x = the value of 84.2 ml/kg

μ = the mean of 69 ml/kg

σ = the standard deviation of 7.6 ml/kg.

Plugging in the values, we get:

z = (84.2 - 69) / 7.6

    = 2.03

Using a standard normal distribution table or calculator, we find that the probability of a standard normal variable being greater than or equal to 2.03 is 0.0217. Therefore, the probability that an elite athlete has a maximum oxygen uptake of at least 84.2 ml/kg is 0.0217.

To find the probability that an elite athlete has a maximum oxygen uptake of at most 58.36 ml/kg, we again need to standardize the value:

z = (58.36 - 69) / 7.6

   = -1.36

Using a standard normal distribution table or calculator, we find that the probability of a standard normal variable being less than or equal to -1.36 is 0.0869. Therefore, the probability that an elite athlete has a maximum oxygen uptake of at most 58.36 ml/kg is 0.0869.

Finally, to find the probability that an elite athlete has a maximum oxygen uptake of exactly 58.36 ml/kg, we need to use the fact that the normal distribution is a continuous distribution, which means that the probability of a specific value is zero. Therefore, the probability that an elite athlete has a maximum oxygen uptake of exactly 58.36 ml/kg is 0.

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Write an expression that is equivalent to 734+356 − 134that uses addition instead of subtraction.

Answers

The expression that is equivalent to 734 + 356 - 134 using addition instead of subtraction is:

734 + 356 + (-134)

Answer:

706+350 = 956

There are 425 sixth graders this year. This is 37 less than last year. How many sixth graders were there last year?

Answers

Answer:

388

Step-by-step explanation:

There will be 388 sixth graders because you just have to do 425 minus 37 if your not sure how to do it just line the numbers up for the tenths to the hundreds

Are all isosceles triangles always similar?

Answers

No, not all isosceles triangles are always similar. Two triangles are considered similar if their corresponding angles are congruent and their corresponding sides are in proportion. While all equilateral triangles are also isosceles triangles, not all isosceles triangles have congruent angles and proportional sides.

Any triangle with any two sides that have the same length is known as an isosceles triangle. An isosceles triangle has two equal-sized angles that are opposite from one other and have equal sides. Triangles are three-sided polygons in geometry that can be divided into three groups based on their sides, such as:

Scalene triangle (All three sides are unequal)Isosceles triangle (Only two sides are equal)Equilateral triangle (All three sides are equal)

For example, consider an isosceles triangle with base angles of 70 degrees and a third angle of 40 degrees, and another isosceles triangle with base angles of 80 degrees and a third angle of 20 degrees. These triangles have different angles and are therefore not similar, even though they are both isosceles triangles.

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y=(6x-5)(x+4) in standard form (Ax+By=C) and please provide steps! ;)

Answers

The quadratic equation y = 6x²+ 19x -20 has the same standard form as Ax+By +C = 0.

what is quadratic equation ?

A quadratic polynomial in an independent condition is represented by the expression x ax²+bx+c=0. a 0. Since this equation is of second order, the Fundamental Theory of Algebra requires that it has at best one solution. There can be both simple and complex solutions.

A quadratic equation is just that—quadratic. This indicates that which has at least yet another word that has to be squared. One of the often cited solutions for differential calculus is "ax² + bx + c = 0." where X is an undefined parameter and a, b, and c are mathematical coefficients or constants.

y=(6x-5)(x+4)

y = 6x² - 5x + 24x - 20

y = 6x² + 19x -20

The quadratic equation y = 6x² + 19x -20 has the same standard form as Ax+By +C = 0.

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In regression analysis, the variable being explained or predicted is called the _____.a. independent variableb. dependent variablec. regression variabled. residual variable

Answers

In regression analysis, the variable being explained or predicted is called option (b) dependent variable.

The dependent variables are defined the variable the depends up on other variables. The independent variable(s) are the variables that are believed to have an influence on the dependent variable and are used to explain or predict the variation in the dependent variable.

The regression variable(s) refer to the variables that are included in the regression model as predictors, whether they are independent or dependent. The residual variable refers to the difference between the observed values of the dependent variable and the predicted values from the regression model.

Therefore, the correct option is (b) dependent variable

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why did the congruent triangles get caught cheating​

Answers

I gave you an example pic I hope it helps and could I get Brainliest

What does it mean if a function is continuous?

Answers

The absence of unexpected values or discontinuities is referred to as a function's continuous nature.

A continuous function is one in which a shift in the argument causes a continuous change in the value of the function, which is a change without a noticeable jump. This shows that there are no abrupt changes in value or discontinuities. More exactly, a function is continuous if it is possible to guarantee that, even with arbitrarily small changes to its parameter, its value won't change dramatically. Any function that is discontinuous is referred to as such.

A function is referred to as continuous if it is constant for all values of x inside its domain. The ability to simulate and evaluate physical occurrences and mathematical relationships involving smoothly varying numbers makes continuous functions crucial in many branches of mathematics and science.

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how to convert 147 cm in feet?

Answers

The conversion of the unit centimeters to feet is written as 147 centimeters = 4.82283 feet.

Centimeters and feet are the units that are used for measuring the length of the any given parameter.

Conversion of the unit centimeter into feet is written as :

Value of  one centimeter =  0.0328084 feet.

To convert the given value 147 centimeters substitute in the given relation we have,

⇒ ( 147 × 1 ) centimeters = ( 147 ×  0.0328084 ) feet

⇒ 147 centimeters = ( 4.822835 ) feet

⇒  147 centimeters = ( 4.8228 ) feet ( Round upto four decimals )

Therefore, after conversion the measurements centimeters to feet we have 147 cm is equal to  ( 4.8228 ) feet ( Round upto four decimals ) .

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The point P(4,4) is reflected over the line x=5. What are the coordinates of the resulting point, P'?

Answers

Answer: 64juu5

Step-by-step explanation:

your gay

What is the conversion of 23/32 in inches ?

Answers

The conversion of 23/32 cm in inches is 0.283464844 inches.

Centimeter (cm) and inch are both units of measurement used to express length or distance.

Centimeter is a metric unit of length used in the International System of Units (SI) and is equal to one hundredth of a meter.

To convert 23/32 centimeters (cm) to inches, we can use the conversion factor of 1 cm = 0.393701 inches.

First, we can convert 23/32 cm to cm as a decimal by dividing the numerator (23) by the denominator (32):

23/32 cm = 0.71875 cm

Then, we can use the conversion factor to convert 0.71875 cm to inches:

0.71875 cm × 0.393701 inches/cm = 0.28346484375 inches (rounded to nine decimal places)

Therefore, 23/32 cm is approximately equal to 0.283464844 inches.

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Correct Question:

What is the conversion of 23/32 cm in inches ?

Find the conditional probability calculator

Answers

Conditional probability can be calculated by using Bayes' theorem, P(A|B) = P(B|A) × P(A) / P(B)

To find the conditional probability, we need to know the probability of two events: the probability of the event we're interested in, and the probability of the condition. Then, we can use Bayes' theorem to calculate the conditional probability.

Bayes' theorem states that the probability of an event A given that event B has occurred is equal to the probability of B given A, multiplied by the probability of A, divided by the probability of B:

P(A|B) = P(B|A) × P(A) / P(B)

The steps to find the conditional probability:

1) Identify the events A and B.

2) Determine the probabilities of A and B.

3) Determine the conditional probability P(B|A)

4) Substitute the values into Bayes' theorem to find P(A|B)

5) Interpret the result.

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a car dealership pays $8,350 for a car. ther mask up the price by 17.4% to get the retail price. what is the retail price of the car at this dealership?

Answers

The retail price of the car at the dealership is $9,803.90. This means that the dealership is adding a markup of $1,453.90, or 17.4% of the cost, to sell the car to customers.

To find the retail price of the car at the dealership, we need to add 17.4% to the dealership's cost of $8,350. Here are the steps to do this calculation:

Multiply the cost of the car by the percentage markup as a decimal. To convert a percentage to a decimal, divide it by 100. So 17.4% as a decimal is 0.174.

Markup = $8,350 x 0.174 = $1,453.90

Add the markup to the cost of the car to get the retail price.

Retail Price = $8,350 + $1,453.90 = $9,803.90

It's important to note that the final selling price of the car may be negotiable, and that other fees and taxes may also be added to the retail price.

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What is a factor tree for 78?

Answers

The factor tree shows how 78 can be factored into its prime factors.

78 = [tex]2 \times 3 \times 13.[/tex]

The first step in creating a factor tree for the number 78 is to identify two factors of 78 that sum up to 78. One such pair of factors is 6 and 13. After we reach prime numbers, we can carry on breaking down each component.

Prime factorization is the process of converting a composite number into the product of its prime factors. A prime factor is a prime number that divides the original integer by itself with no remainder.

The prime factorization of the number 78 is

78 = 6 x 13

78 = 2 x 3 x 13.

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If there were two runners running a race, one along the inside and one along the outside, how far apart they start so the race is fair?

Answers

Answer:

I would believe inside of a race track is smaller than the outside. They are staggered so the runners all run the same distance.

Step-by-step explanation:

a. Find the perimeter of a triangle whose side
lengths are 5 cm, 8√3 cm, and √27 cm. Give
the answer as a radical expression in simplest
form.

Answers

Answer:

[tex]5+11\sqrt{3}[/tex]

---------------

Perimeter is the sum of side lengths:

[tex]P=5+8\sqrt{3}+\sqrt{27} =5+8\sqrt{3}+\sqrt{3^2*3} =5+8\sqrt{3}+3\sqrt{3}=5+11\sqrt{3}[/tex]

write 5 x 5 x 5 x 5 using exponets

Answers

Answer:5 and a tiny 4 in the corner of that 5

Step-by-step explanation:

there are four 5s so u do 5 with little 4

the answer would be 5^4

What is the initial value of the function Y=17(1.124)^x ?

Answers

Answer:

y = 17

Step-by-step explanation:

the initial value of the function is obtained when x = 0

• note that [tex]a^{0}[/tex] = 1

then

y = 17[tex](1.24)^{x}[/tex] ← substitute x = 0

y = 17[tex](1.24)^{0}[/tex] = 17 × 1 = 17

initial value of the function is y = 17

how much is 140 cm in inches

Answers

Answer:

Step-by-step explanation:

140 cm to inches is 55.1181 or roughly 55 inches.

The 4 members of a robotics team held a car wash to raise money. To attract customers, each person held a sign by the road for an equal portion of the car wash, which lasted 3 hours in all. How long did each person hold the sign? Write your answer as a proper fraction or mixed number.

Answers

There is each person holding the sign for 3/4 hours.

What is the rate?

A rate is a type of ratio that compares two values with distinct units. A rate is expressed as a fraction.

Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.

The 4 members of a robotics team held a car wash to raise money. To attract customers, each person held a sign by the road for an equal portion of the car wash, which lasted 3 hours in all.

If the car wash lasted 3 hours in all and there are 4 members in the robotics team, each person held the sign for 3 hours / 4 = 3/4 hours.

Hence, there are each person held the sign for 3/4 hours.

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Which value for x will result in the greatest relative frequency given discrete random variable X, when [tex]X \sim B(4, \frac{1}{10})?[/tex]?

x=5
x=1
x=0
x=3

Answers

The value x = 3 will result in the greatest relative frequency given discrete random variable X.

What is relative frequency?

A frequency is the number of times an event takes place. It's experimental, not theoretical, to study relative frequency. As it is an experimental one, it is likely that when we repeat the trials, we will get different relative frequencies.

The relative frequency of a discrete random variable increases with decreasing variable value.

This implies that,

A variable with x = 0 would occur more frequently than one with x = n, where n > 0.

So, the greatest relative frequency given discrete random variable X, when X ∼ B (4, 1/10) is  x = 3.

Hence, the value x = 3 will result in the greatest relative frequency given discrete random variable X.

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3. You purchase a car using a $30,000 loan with a 6% simple interest rate.
(a) Suppose you pay the loan off after 6 years. How much interest do you pay on your loan? Show your work.
(b) Suppose you pay the loan off after 3 years. How much interest do you save by paying the loan off sooner? Show your work.

Answer:

Answers

(1) if the loan is paid off after 6 years, the interest paid on the loan is $10,800. (2) $5,400 in interest will be conserved if the debt is repaid in 3 years as opposed to 6 years.

What, using an illustration, is simple interest?

Simple Interest (S.I.) is a technique for figuring out how much interest will accrue on a specific initial sum of money at a certain rate of interest. For instance, if someone borrows Rs. 5000 at a cost of ten p.a. for 2 years, they will pay S.I. on the loaned money for those two years.

(a) Using the straightforward interest calculation, we can determine the amount of interest paid on the debt if it is repaid after six years:

I = Prt

where P represents the loan's capital, r represents the interest rate, and t represents the quantity of time (in years).

P is $30 000, r is 6%, and t is 6 years in this example. With these numbers entered into the algorithm, we obtain:

I = 30,000 * 0.06 * 6 = $10,800

Therefore, if the loan is paid off after 6 years, the interest paid on the loan is $10,800.

(b) To calculate the interest saved by paying off the loan after 3 years instead of 6 years, we can calculate the interest paid in both scenarios and then subtract the interest paid at 3 years from the interest paid at 6 years.

If the loan is paid off after 3 years, the total interest paid can be calculated using the same formula as before:

I = 30,000 * 0.06 * 3 = $5,400

By deducting the interest costs at 3 years from of the interest charged at 6 years, we can determine the amount of interest that would have been paid had the debt been repaid after 3 years:

Interest saved = Interest paid at 6 years - Interest paid at 3 years

= 10,800 - 5,400

= $5,400

Therefore, $5,400 in interest will be conserved if the debt is repaid in 3 years as opposed to 6 years.

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Also need help with this one girlys or boys

Answers

The equivalent expression is 0.7 - 1.8h.

Option D is the correct answer.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

2.1 + (-3.7h) + 1.9h - 1.4

Combine the like terms.

2.1 - 1.4 - 3.7h + 1.9h

0.7 - 1.8h

Thus,

0.7 - 1.8h is the equivalent expression.

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