Trapezoid DEFG is dilated by scale factor of 2\3 to form trapezoid D'E'FG. Side E'F' measures 32. What is the measure of side EF?

Answers

Answer 1

Answer: 48

Step-by-step explanation:

Given

Trapezoid DEFG is dilated by a scale factor of  [tex]\frac{2}{3}[/tex]

[tex]E'F'=32[/tex]

Suppose the length of EF is [tex]x[/tex]

Multiply the side length of DEFG by [tex]\frac{2}{3}[/tex] to form E'F'

[tex]\Rightarrow E'F'=x\times \dfrac{2}{3}\\\\\Rightarrow 32=x\times \dfrac{2}{3}\\\\\Rightarrow x=16\times 3\\\Rightarrow x=48[/tex]

[tex]\therefore EF=48[/tex]


Related Questions

The minimum value of G in G ( x ) = 3 tan x is

Answers

The function G(x) = 3 tan(x) does not have a minimum value.

What are the relative extremas of a function?

The relative extremas of a function are the values of x for which the derivative of the function assumes a value of zero.

The extremas are classified as local minimum or local maximum, as follows:

Local minimum: the function changes from decreasing to increasing.Local maximum: the function changes from increasing to decreasing.

The tangent function does not have a local minimum, as it is increasing over it's entire domain.

The function G(x) = 3 tan(x) is a vertical stretch by a factor of 3 of the tangent function, which changes only the range, thus the function continues without a local minimum.

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Explain how the Distributive Property can be used to solve the equation.
3(x + 4) = 36.

Answers

The answer is C because when u distribute it mean multiply so it will be 3x+12

Answer: x=8

Step-by-step explanation:

3(x+4) = 36

3x+12= 36

3x-12= -12

3x = 24

— —

3 3

X=8

What is an unsolvable equation?

Answers

1. The Riemann Hypothesis Equation

One car traveled 240 miles and drove 20 mph hour faster than a second car drove 160 miles. If the cars were traveling for the same time, how fast was the first car driving?
a. 90 mph
b. 80 mph
c. 50 mph
d. 60 mph

Answers

The answer is D because car 1 drove 20 mph faster than car 2. If car 1 drove at 60 mph for 4 hours it reaches 240 miles. Car 2 at 40 mph would travel 160 in 4 hours.

Answer:

d.

Step-by-step explanation:

After surgery, a patient drinks 2ounces of clear liquids every 2 hours. How many ounces will the patient drink in 8 hours?

Answers

Answer:

8

Step-by-step explanation:

Hope it helps pl give brainliest! :D

What is the simplified value of the expression below?
1/3 divided by 2/3
0
1/3
1/2
1

Answers

Answer: 1/2

Step-by-step explanation:

( see image ) ( Keep Change Flip )

A and B are vertical angles. A=(x+15) B=(5x−17) the measure of b

Answers

Answer = 23 degrees

Explanation

1. Since vertical angles are congruent you can set the equations equal to one another like x+15 = 5x-17.

2. Subtract x on both sides to combine like terms . That gives 15 = 4x - 17

3. Add 17 on both sides to combine like terms. That gives 4x = 32.

4. Divide 4 on both sides to solve for x. That results in x = 8.

5. To find the measure of b, you can input 8 into A since A=B and it’s quicker math. So 8 + 15 = 23 degrees

Sarah had 6 yards of ribbon. She needs 1 1/4 yards of ribbon for her project. How many complete ribbons can she cut from the 6 yards

Answers

Answer:

4 complete ribbons

Step-by-step explanation:

From the above question,

We can deduce that a project = complete ribbons

Hence,

1 1/4 yards = 1 complete project

6 yards = x

Cross Multiply

1 1/4 yards × x = 6 yards × 1 complete project

x = 6 yards ÷ 1 1/4 yards

x = 6 yards ÷ 5/4 yards

x = 6 yards × 4 yards/5

x = 24 /5

x = 4 4/5 complete projects(ribbons)

Therefore, she can cut 4 complete ribbons from 6 yards

The length of a car would be about 12 miles or 12 feet or 12 inches or 12 yards ?

Answers

12 feet I believe if not please let me known

Answer:

12 feet !!

Step-by-step explanation:

its the onlt one that can fit into a car

What are the odds of drawing a jack or 10 out of 52 cards?

Answers

Answer:

The standard odds of drawing a jack, king, etc is always 1 in 13 from a shuffled 52 card deck. 4 suits,13 cards each, 1 jack for each suit

Step-by-step explanation:

3.5 multiplied by 2y

Answers

Answer:

7y

Step-by-step explanation:


Hurry please !! It’s timed...

Answers

The links don’t work.

The equation of line p is y= 1 4 x–8. Line q, which is parallel to line p, includes the point (6, – 3). What is the equation of line q?

Answers

Answer: y = 14x - 81.

Step-by-step explanation:
1. Since the lines are parallel to each other, that means they have the same slope, which is 14.
2. To find the equation of line q, you would need to use the point-slope equation, which is y2 - y1 = m (x2 - x1) and input the values of point (6, -3).
3. The equation you need to solve after inputting values would be y + 3 = 14 (x - 6).
4. Simplify the equation by distributing 14 into the parentheses. This would give you y + 3 = 14x - 84.
5. Now, subtract 3 on both sides to get the y alone. This should give you y = 14x - 81.

Answer:

The equation of line q in slope-intercept form is

y= 1/4 x– 9/2

.

Step-by-step explanation:

Find the measure of the indicated angle to the nearest degree.

Answers

Answer:

70⁰

Step-by-step explanation:

We need to use the knowledge of trigonometry to find the indicated angle. Given the information in relation to the angle we have the opposite and the hypotenuse.

we therefore use Sine in this calculations

Sin ? = opposite/ hypotenuse

= 16/17

= 0.9412

to get the angle we get the sine inverse

Sine inverse of 0.9412 = 70.25⁰

= 70⁰

Answer:

? ≈ 70°

Step-by-step explanation:

using the sine ratio in the right triangle

sin ? = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{16}{17}[/tex] , then

? = [tex]sin^{-1}[/tex] ( [tex]\frac{16}{17}[/tex] ) ≈ 70° ( to the nearest degree )

convert the following decimals into mixed fraction. a) 4.444​

Answers

Answer:

4444/1000

You take the number of decimal points and turn them into zeros for the denominator

What does the remainder need to be in order for a x-value to be a zero (or factor) of a polynomial.

Answers

Answer:

Zero

Step-by-step explanation:

Remainder a x-value being a factor of a polynomial:

If a x-value [tex]x_v[/tex] is a factor of a polynomial, the remainder of the division of the polynomial by [tex]x - x_v[/tex] must be zero.

So the answer is Zero.

I GIVE THANKS AND MARK BRAINLIEST

What is the correct answer?
Please help.

Answers

A value of 20 would fit the best in the table's empty cell to imply that there is no proof of a link between the variable and the outcome.

Option c is accurate.

The missing number trick: how does it work?

The pattern between the supplied series must be found in order to determine the missing number. Verify that the series only shows increases, decreases, or both. The difference between two numbers should then be checked; this will help you discover the pattern.

How can the missing number in a figure be located?

To locate the missing numbers, the candidate must first identify the pattern or relationship between these numbers and then apply it.

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Lucia wants to spend less than $16 on her order. Is 25% off $20 in her budget??

Answers

Answer: Yes

Step-by-step explanation: Well 25% off of $20 is $15.

Can u please help?.........................

Answers

The coordinates of the point P on the directed line segment that partitions the segment into a ratio of 2 to 3 is the ordered pair (3, 0).

How to determine the coordinates of point P?

In this scenario, we would use line ratio to determine the coordinates of the point P on the directed line segment that partitions the segment into a ratio of 3 to 2.

In Mathematics, line ratio can be used to determine the coordinates of the point P and this is modeled by this mathematical expression:

P(x, y) = [(mx₂ + nx₁)/(m + n)],  [(my₂ + ny₁)/(m + n)]

Substituting the given parameters into the line ratio formula, we have;

P(x, y) = [(mx₂ + nx₁)/(m + n)],  [(my₂ + ny₁)/(m + n)]

P(x, y) = [(2(9) + 3(-1))/(2 + 3)],  [(2(6) + 3(-4))/(2 + 3)]

P(x, y) = [(18 - 3)/(5)],  [(12 - 12)/5]

P(x, y) = [15/5],  [0/5]

P(x, y) = [3, 0]

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Complete Question:

Find the coordinates of point P along the directed line segment AB so that AP to PB is the given ratio. A(-1, -4), B(9, 6); to 3. The coordinates of P are?

The population of deer in a national forest has been increasing by about 5.8% annually. The current population is about 2,200 deer. The function y = 2,200 - can be used to find the number of deer, y, after x years. What value belongs in the box?​

Answers

Answer:

127 goes in the box

Step-by-step explanation:

I hope this helps you.

HELP DUE IN 15 MINS!

In parallelogram ABCD, AE = 2x - 10 and EC = 8x - 70. Find x.

x =??

Answers

Answer:

x = 10

Step-by-step explanation:

According to Midpoint of a segment theorem we can say that AE = EC

So,

2x - 10 = 8x - 70

=> First subtract 2x from each side of "="

-10 = 6x - 70

=> Now add 70 to both the sides.

60 = 6x

=> Lastly divide both sides of "=" by 6

10 = x

Hope this helps!

28 < 4v
solve for v
pls help

Answers

Answer:

v = 7

Step-by-step explanation:

Divide both sides by 4 to isolate v

28/4 = 4v/4

v = 7

Write a system of linear inequalities represented by the graph.
Inequality 1:
Inequality 2:

Answers

By using the unitary approach to answer the given question, we may conclude that total 28 + 40 = $68.

Unitary method: what is it?

The unit technique is a strategy for addressing issues that entails first figuring out the value of a single unit, then multiplying that value to figure out the needed value. Simply expressed, the unit technique is used to extract a single unit value from a multiple that is provided. For example, 40 pens would cost 400 rupees, which is equal to the cost of one pen. This procedure could follow a regular procedure. a single nation. something has a distinct identity. Its adjoint and reciprocal are equal in terms of mathematics, algebra, linear algebra, mathematical analysis, or mathematics of matrices or operators.

One package of chicken costs  = $7

steaks cost  = $4 per pound.

cost of 4 chicken = 4 * 7 < $28

cost of 10 steaks = 4*10 < $40

total 28 + 40 > $ 68

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What are the solutions to 3x 2 4 0 `?

Answers

The solution of the expression 3x² - 4 = 0 is x = ±2/√3.

The term expression in math is defined as a sentence with a minimum of two numbers or variables and at least one math operation

Here we have the expression 3x² - 4 = 0.

Now, we have to solve this one by using the following steps:

First we have to add 4 to both sides of the equation, then we get the expression as,

=> 3x² = 4

Now, we have to Divide each term by 3 and simplify, then we get

=> x² = 4/3

Then we have to take the specified root of both sides of the equation to eliminate the exponent on the left side,

=> x = √4/3

When we simplify this one further, then we get

=> x = ±2/√3.

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Find f(-4) when f(x) = 20- x. A, -24 В. -16 C. 16 D. .24. 4​

Answers

Answer:

D. 24

Step-by-step explanation:

substitute -4 for x:

f(-4)=20-(-4)

f(-4)=24

Given g(x) = -4x - 4, find g(-2).

Answers

Answer:

4

Step-by-step explanation:

Solution

This question basically asks you to substitute the value of x to find the value of function g(x).

Given x = -2,

g(-2) = -4(-2) - 4 = 8 - 4 = 4

Answer:

4

Step-by-step explanation:

g(x) = -4x - 4

Let x = -2

g(-2) = -4(-2) - 4

          = 8 -4

           =4

Katie is 1.52 m tall. George is 6 cm shorter than Katie. How tall is George?
Give your answer in m

Answers

Answer:

1.46 cm

Step-by-step explanation:

You have to first convert meters into centimeters to make everything easier. (1m = 100cm)

1.52 meters is 152 centimeters

152-6 = 146 cm

146 cm divided by 100 is 1.46 meters

George is 1.46 meters tall

Hope this helps! :D

if pq=3x+4 and the perimeter of pqr=57, find the value of x

Answers

Answer: type this in bitly

Step-by-step explanation: 3f3FcEi

The value of x is 5 if pq=3x+4 and the perimeter of pqr=57 after using the concept of the triangle.

What is the triangle?

In terms of geometry, a triangle is a three-sided polygon with three edges and three vertices. The triangle's interior angles add up to 180°.

It is given that:

if PQ = 3x+4 and the perimeter of PQR = 57,

3(3x + 4) = 57

9x + 12 = 57

9x = 45

x = 5

Thus, the value of x is 5 if pq=3x+4 and the perimeter of pqr=57 after using the concept of the triangle.

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Find the number that is 2/3 of the way from 3/4 to 3 5/12

Answers

Answer:

I got 2.527. And the 7 repeats I’m wasn’t sure if you wanted it in a fraction but it shouldn’t be difficult to convert if you have a calculator with that function

Step-by-step explanation:

What is the solution to the system of equations 3x 2y 7 and Y 3x 11?

Answers

The solution to the system of equations is x = 4 and y = 5.

3x + 2y = 7

y = 3x - 11

Substitute 3x - 11 for y in the first equation:

3x + 2(3x - 11) = 7

Simplify:

3x + 6x - 22 = 7

Combine like terms:

9x - 22 = 7

Add 22 to both sides:

9x = 29

Divide both sides by 9:

x = 29/9

x = 4

Change x in the second equation to 4:

y = 3(4) - 11

Simplify:

y = 12 - 11

y = 1

The solution to the system of equations is x = 4 and y = 1.

The solution to the system of equations 3x + 2y = 7 and y = 3x - 11 is x = 4 and y = 1. To solve this system, we first substituted 3x - 11 for y in the first equation. We then simplified the equation and combined like terms to get 9x - 22 = 7. We then added 22 to both sides, divided both sides by 9, and got x = 29/9 which is x = 4. We then substituted 4 for x in the second equation, simplified, and got y = 1. Thus, the solution to the system of equations is x = 4 and y = 1.

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