what needs to be demonstrated to show quadrilateral DEFG is a parallelogram? (select all the correct answers) ILL MARK AS BRAINLIEST PLEASE HELP ASAP.

The measure of side length EF in the right triangle is 24.

The Pythagorean theorem states that the "square on the hypotenuse of a right-angled triangle is equal in area to the sum of the squares on the other two sides.

It is expressed as;

c²  = a² + b²

From the diagram:

Hypotenuse DE = c = 26

Leg DF = a = 10

Leg EF = b = ?

Plug in the values and solve for b:

c²  = a² + b²

26²  = 10² + b²

676  = 100 + b²

b² = 676  - 100

b² = 576

b = +√576 ( we take the positive value since we are dealing with dimensions)

b = 24

Therefore, the length EF is 24.

Option C)24 is the correct answer.

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In this case we have a translation of 8 units to the left and 11 units upwards.

To find the translation, we just need to compare the two known vertices before and after the translation.

If we have a translation of a units in the x-axis and b units in the y-axis, we will get:

T(a, b)L ---> L'

We know that L = (7, -3) and L' = (-1, 8)

Then we can write:

(7 + a, -3 + b) = (-1, 8)

Then we have two equations:

7 + a = -1 ---> a = -1 - 7 = -8

-3 + b = 8 ---> b = 8 + 3 = 11

Then we have a translation of 8 units to the left and 11 units up-.

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Complete question:

"Right triangle LMN has vertices L(7, –3), M(7, –8), and

N(10, –8). The triangle is translated on the coordinate plane so the coordinates of L’ are (–1, 8).

Find the translation done"

Answer:

Expert-Verified Answer​​ the equivalent expression to 3^(x + 2) is 9*3^x, which is the last option.

Missing: 2ˣ ‎⁺

Step-by-step explanation:

hope it helps

When adding two rational expressions, follow these steps.

1. Determine the least common denominator (LCD) of the two expressions. This is the smallest expression that both denominators can divide into evenly.

2. Multiply each term in both expressions by the necessary factors to make the denominators equal to the LCD.

3. Simplify each numerator if possible by combining like terms.

4. Add or subtract the numerators together. The denominators remain the same.

5. Simplify the resulting expression, if necessary, by factoring and canceling common factors in the numerator and denominator.

6. If required, express the final result in its simplest form by dividing out any common factors between the numerator and denominator.

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The true statements are:

below in bold

Work/explanation:

The statements which apply to the given scenario are the following:

The base is Three-fifths.

The expanded form is three-fifths times three-fifths times three-fifths.

The exponent is 3.

Let's take a closer look at the expression [tex]\sf{\bigg(\dfrac{3}{5}\bigg)^3}[/tex].

What is the base and what is the exponent?

Think of the expression [tex]\sf{x^n}[/tex]. Here, x is the base, and n is the exponent.

Similarly, with our exercise here, 3/5 is the base and 3 is the exponent.

[tex]\rule{350}{4}[/tex]

Now, what is the expanded form of the expression? If we have something cubed, what does it mean?

It means that this something is multiplied by itself 3 times.

So the expanded form is three-fifths times three-fifths times three-fifths.

Finally, when we raise a fraction to a power, we raise both the numerator and the denominator to that power.

Answer:

$98.70

Step-by-step explanation:

Number of gallons = Area of room / Coverage per gallon

Number of gallons = 980 ft^2 / 350 ft^2/gallon

Number of gallons = 2.8 gallons

Therefore, we need 2.8 gallons of paint to cover the room. The cost of one gallon of paint is given as $35.25, so the total cost of the paint needed to paint the room is:

Total cost = Number of gallons × Cost per gallon

Total cost = 2.8 gallons × $35.25/gallon

Total cost = $98.70

So, the total cost of the paint needed to paint the room is $98.70.

Answer:

To solve for C, we would need to know the length of side c. Without that information, we cannot determine the value of angle C.

Step-by-step explanation:

Using this assumption, we can rewrite the equation as:

c² = 16² + 17² - 2(16)(17)·cos(C)

c² = 256 + 289 - 544·cos(C)

c² = 545 - 544·cos(C)

Answer:

C = 83.0°

Step-by-step explanation:

This triangle has three sides, with lengths of 8 units, 16 units, and 17 units. The angle formed between the sides measuring 8 units and 16 units is angle C. Angle C is opposite the side measuring 17 units.

To find the measure of angle C, we can use the Law of Cosines.

[tex]\boxed{\begin{array}{l}\underline{\textsf{Law of Cosines}}\\\\c^2=a^2+b^2-2ab \cos C\\\\\textsf{where $a, b$ and $c$ are the sides,}\\\textsf{and $C$ is the angle opposite side $c$.}\\\end{array}}[/tex]

In this case:

Substitute the values of a, b, and c into the formula, and solve for C:

[tex]\begin{aligned}c^2&=a^2+b^2-2ab\cos C\\\\17^2&=8^2+16^2-2(8)(16)\cos C\\\\289&=64+256-256\cos C\\\\289&=320-256\cos C\\\\289-320&=320-256\cos C-320\\\\-31&=-256\cos C\\\\\dfrac{-31}{-256}&=\dfrac{-256\cos C}{-256}\\\\\dfrac{31}{256}&=\cos C\\\\\cos C&=\dfrac{31}{256}\\\\C&=\cos^{-1}\left(\dfrac{31}{256}\right)\\\\C&=83.04476981...^{\circ}\\\\C&=83.0^{\circ}\; \sf (nearest\;tenth)\end{aligned}[/tex]

Therefore, the measure of angle C, rounded to the nearest tenth, is:

[tex]\Large\boxed{\boxed{C=83.0^{\circ}}}[/tex]

These three clues together provide a clear indication that a bodega refers to a small retail store.

The clues from the text that are most helpful for determining the meaning of "bodega" are:

1. "It was empty, except for one or two customers."

The presence of customers in the bodega indicates that it is a place where people can go to purchase items. The fact that there are only one or two customers suggests that it is a small establishment.

2. "We walked around for a bit before deciding on granola bars and bottled water."

This clue indicates that the bodega sells food items like granola bars and bottled water. This suggests that it is a convenience store or a small grocery store where one can find basic food and drink items.

3. "After we paid for our items..."

The mention of paying for items further reinforces the idea that the bodega is a retail establishment where goods are sold.

These three clues together provide a clear indication that a bodega refers to a small retail store, often found in urban areas, that sells a variety of items, including food and drinks. It is typically smaller in size compared to larger grocery stores and may offer convenience items for customers who are on the go, like Parvati and the narrator who were preparing for their trip to the concert.

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Answer:

Step-by-step explanation:

1) It's possible that Lia had a mean smirk because she found the situation amusing or thought it was funny to accuse someone.

2) Lia might have accused you based on the assumption that you were laughing

3) Nyla might have looked at you out of curiosity or suspicion, wanting to see your reaction to the accusation.

4) Ms. Nee might have asked you to move in an attempt to diffuse the situation or prevent any further disruptions.

Lia could have been amused by the event or thought it was hilarious to blame someone, hence her cruel smirk. Another possibility is that she made the charge because she was upset with you personally and wanted to humiliate or degrade you.

Lia could have charged you if she thought you were laughing, which she took to be an admission of guilt. Additionally, she might have been looking for someone to point the finger at and chose you as the victim of choice without any solid proof.

Nyla may have glanced your way to see how you would respond to the charge out of curiosity or suspicion. Her lack of laughter could indicate that she wasn't sure about your involvement or that she simply didn't find the situation amusing.

Everyone present may find it distracting and uncomfortable when jokes and accusations are made in the classroom. Ms. Nee might have asked you to relocate in an effort to bring back some sense of calm and concentration in the classroom.

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The equation is proved.

G[tex]`tan(x-1)(sin2x-2cos2x)=2(1-2sinxcosx)`[/tex]

We need to prove the given equation. Solution: Using the identity [tex]`sin2x=2sinxcosx` and `cos2x=1-2sin^2x`[/tex]

in the given equation, we get

[tex]`tan(x-1)(sin2x-2cos2x)=2(1-2sinxcosx)`⟹ `tan(x-1)(2sinxcosx-2(1-[/tex]

[tex]2sin^2x))=2(1-2sinxcosx)`⟹ `tan(x-1)(4sin^2x-2)=2-4sinxcosx`⟹ `2sin(x-1)[/tex]

[tex](2sin^2x-1)=2(1-2sinxcosx)`⟹ `2sin(x-1)(2sin^2x-1)=2(1-2sinxcosx)`⟹[/tex]

[tex]`2sinxcos(x-1)(4sin^2x-2)=2(1-2sinxcosx)`⟹ `2sinxcos(x-1)(2sin^2x-1)=1-[/tex]

[tex]sinxcosx`⟹ `2sinxcos(x-1)(2sin^2x-1)=sin^2x+cos^2x-sinxcosx`⟹[/tex]

`[tex]2sinxcos(x-1)(2sin^2x-1)=(sinx-cosx)^2`⟹ `sinxcos(x-1)(2sin^2x-1)=(sinx-cosx)^2/2`[/tex]

For `LHS`, using identity

[tex]`sin(90 - x) = cosx`⟹ `sinxcos(x-1)(2sin^2x-1)=(sinx-sin(91-x))^2/2`⟹[/tex]

[tex]`sinxcos(x-1)(2sin^2x-1)=(-sin(x-1))^2/2`⟹ `sinxcos(x-1)(2sin^2x-1)=sin^2(x-[/tex]

[tex]1)/2`⟹ `sinxcos(x-1)(4sin^2x-2)=sin^2(x-1)`⟹ `sinxcos(x-1)(2sin^2x-1)=1/2`⟹ `1/2=1/2`.[/tex]

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Answer:

Step-by-step explanation:

To find the location of the point that is of the way from A=31 to B=6, we need to find the midpoint of the segment AB.

The formula for finding the midpoint of a segment with endpoints (x₁, y₁) and (x₂, y₂) is:

Midpoint = ((x₁ + x₂) / 2, (y₁ + y₂) / 2)

In this case, we have A = 31 and B = 6, so x₁ = 31 and x₂ = 6. Plugging these values into the formula, we get:

Midpoint = ((31 + 6) / 2, (y₁ + y₂) / 2)

Midpoint = (37/2, (y₁ + y₂) / 2)

We still need to find y₁ and y₂, which are the positions of A and B on the number line. Since the number line is one-dimensional, we can simply use their values:

y₁ = 31

y₂ = 6

Plugging these values into the formula, we get:

Midpoint = (37/2, (31 + 6) / 2)

Midpoint = (37/2, 37/2)

Therefore, the location of the point on the number line that is of the way from A=31 to B=6 is at a distance of 37/2 units from point A and also at a distance of 37/2 units from point B. So, the midpoint of AB is located at the point (37/2, 0).

However, since the question only asks for the location of the point on the number line, we only need to consider the x-coordinate of the midpoint, which is 37/2. This point is on the number line, which means that it is a real number. Therefore, the answer is option (A) 21.

The best definition of phi is:

golden ratio, also known as the golden section, golden mean, or divine proportion, in mathematics, the irrational number (1 + Square root of√5)/2, often denoted by the Greek letter ϕ or, which is approximately equal to 1.618.

Phi = 1/phi Phi = 1 + phi The latter facts together give the definition of the golden ratio: x = 1/x + 1 This equation (equivalent to x^2 - x - 1 = 0) is satisfied by both Phi and -phi, which therefore can be called the _golden ratios_.

Hence, Phi is the value of the golden ratio which is the best definition of phi.

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41.37%

43.15%

75%

the counting number just before C5F16 is 3,072.

The probability that the sample proportion of households spending more than $125 a week is less than 0.27 is approximately 0.35.

To find the probability that the sample proportion of households spending more than $125 a week is less than 0.27, we can use the sampling distribution of sample proportions and the Central Limit Theorem.

Given:

Population proportion (p) = 0.28

Sample size (n) = 273

First, we need to calculate the standard deviation of the sampling distribution, which is known as the standard error. The formula for the standard error is:

Standard Error = sqrt((p * (1 - p)) / n)

Substituting the given values:

Standard Error = sqrt((0.28 * (1 - 0.28)) / 273)

Standard Error ≈ 0.0258

Next, we can standardize the sample proportion using the formula:

Z = (sample proportion - population proportion) / standard error

Z = (0.27 - 0.28) / 0.0258

Z ≈ -0.3886

Now, we need to find the probability that the sample proportion is less than 0.27. This is equivalent to finding the area under the standard normal distribution curve to the left of Z = -0.3886. We can use a standard normal distribution table or a statistical software to find this probability.

The probability can be rounded to 4 decimal places:

Probability = 0.35 (approximately)

Therefore, the probability that the sample proportion of households spending more than $125 a week is less than 0.27 is approximately 0.35.

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Answer:

1. True

Explanation:

In geometry, a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions— length, width, and height. 

There are 48 four-digit numbers that can be formed using the numbers 2, 3, 4, 5, and 6, where the first and last digits must be even numbers and repetition is not allowed.

1. Since repetition is not allowed, we need to determine the number of choices for each digit.

2. The first digit must be an even number. There are 2 even numbers available: 2 and 4.

3. The last digit must also be an even number. There are 2 even numbers available: 2 and 4.

4. For the second digit, any of the remaining 3 numbers can be chosen (3, 5, or 6).

5. For the third digit, any of the remaining 2 numbers can be chosen (the two numbers not used in step 4).

6. To find the total number of four-digit numbers, we multiply the number of choices for each digit: 2 (choices for the first digit) * 3 (choices for the second digit) * 2 (choices for the third digit) * 2 (choices for the last digit) = 48.

7. Therefore, there are 48 four-digit numbers that can be formed using the numbers 2, 3, 4, 5, and 6, where the first and last digits must be even numbers and repetition is not allowed.

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Raj would sell 15 mangoes at a rate of Rs 187.50 in order to achieve a profit of 25%.

To find the selling rate per 15 mangoes, we need to consider the buying price, profit percentage, and the number of mangoes.

Given:

Number of mangoes bought = 300

Buying price for 10 mangoes = Rs 100

Profit percentage = 25%

Calculate the cost price of 1 mango.

Cost price per mango = Buying price for 10 mangoes / 10

Cost price per mango = Rs 100 / 10

Cost price per mango = Rs 10

Calculate the selling price of 1 mango, including the profit.

Profit per mango = Cost price per mango * Profit percentage

Profit per mango = Rs 10 * 25/100

Profit per mango = Rs 2.50

Selling price per mango = Cost price per mango + Profit per mango

Selling price per mango = Rs 10 + Rs 2.50

Selling price per mango = Rs 12.50

Calculate the selling price for 15 mangoes.

Selling price per 15 mangoes = Selling price per mango * 15

Selling price per 15 mangoes = Rs 12.50 * 15

Selling price per 15 mangoes = Rs 187.50

Therefore, Raj would sell 15 mangoes at a rate of Rs 187.50 in order to achieve a profit of 25%.

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Answer:

look at attachment

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

Determine the average rate of change over [0,3]:

[tex]\frac{f(b)-f(a)}{b-a}=\frac{f(3)-f(0)}{3-0}=\frac{13-16}{3}=\frac{-3}{3}=-1[/tex]

Therefore, 1 gallon per day is being consumed (this is explained by the -1 from earlier).

Answer: 5/8 miles

Step-by-step explanation:

1/8+1/2 is the equation. First, you have to make the denominators equal. So, we have to turn 2 into 8. Since you multiply 2 by 4 to get 8, multiply the numerator (1) by 4 as well. This leaves you with 1/8+4/8. Now add the numerators together to get 5/8.

Answer:

3.1+2=8

2.3-4=2

Step-by-step explanation:

Answer:

(Multiply 2y-x=2 by a 3 so that the x can be canceled)

3(2y-x=2)

=6y-3x=6 (add this to 3x+y=8)

(the +3x and -3x cancel)

3x+y=8

+6y-3x=6

_______

7y=14 (divide 14÷7)

●y=2

(take 3x+y=8 and place y=2 to find x)

3x+(2)=8 (and solve for x)

3x=6

●x=2

final answer:

(2,2)

Answer:

B. 0

Step-by-step explanation:

The answer would be y=0, and it is not undefined. Undefined lines go up and down.

Answer:

Step-by-step explanation:

easily find on chrome

Answer:

Step-by-step explanation:

In a kite, the diagonals intersect at right angles, and the longer diagonal is the perpendicular bisector of the shorter diagonal. In this case, we have BD as the longer diagonal and RA as the shorter diagonal.

Given that BD is 44 yards and RA is 20 yards, we can determine the length of AB by using the properties of a kite.

The length of AB can be found by applying the Pythagorean theorem to the right triangle formed by AB, BD, and the segment of the longer diagonal perpendicular to the shorter diagonal.

Using the Pythagorean theorem, we have:

AB^2 = BD^2 - RA^2

AB^2 = 44^2 - 20^2

AB^2 = 1936 - 400

AB^2 = 1536

Taking the square root of both sides:

AB = √1536

Simplifying the square root:

AB ≈ 39.19

Therefore, AB is approximately 39.19 yards.

Joseph finished 2/5th of his work. What percentage of work did he complete?

50%

60%

20%

Answer:

b c and d

Step-by-step explanation:

if not let me know

Answer: The transformed function is y = -0.4√(x - 2).

Step-by-step explanation:

From the given equation, we can identify the following transformations:

Reflected over the x-axis: The negative sign in front of the function (-0.4) indicates a reflection over the x-axis.

Translated 2 units left: The "-2" inside the square root indicates a translation of 2 units to the right.

Compressed by a factor of 0.4: The coefficient "0.4" in front of the square root indicates a vertical compression by a factor of 0.4.

Translated 2 units down: There is no direct indication of a vertical translation in the equation, so this transformation is not applicable.

Therefore, the correct descriptions of the graph of the transformed function compared with the parent function are:

Reflected over the x-axis

Translated 2 units right

Compressed by a factor of 0.4