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3 years ago

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Trapezoid EFGH has coordinates E(−3, 4) , F(1, 4), G(3, 1) , and H(−5, 1) . Trapezoid E'F'G'H' has coordinates E′(−12, 16) , F′(

4, 16), G'(12, 4) , and H′(−20, 4) . Trapezoid E'"F"G"H" has coordinates E′′(12, −16), F′′(−4, −16), G′′(−12, −4) , and H′′(20, −4) .
Which transformations describe why trapezoids EFGH and E'"F"G"H" are similar?

A. Trapezoid EFGH was translated 4 units right and 4 units up and then rotated 180° clockwise.

B. Trapezoid EFGH was rotated 90° clockwise and then dilated by a scale factor of 4.

C. Trapezoid EFGH was dilated by a scale factor of 4 and then rotated 180° counterclockwise.

D. Trapezoid EFGH was dilated by a scale factor of 14 and then reflected across the x-axis.

2 answers:

julia-pushkina [17]3 years ago

8 0

I believe that the answer would be C

Elan Coil [88]3 years ago

5 0

Answer Very much Correct i took the test

Step-by-step explanation:

You might be interested in

Could somebody please help me with this?

BARSIC [14]

For this problem, we are going to use the Remainder Theorem. This says that for $x - n$ to be a factor of a polynomial $p(x)$ , then $p(n) = 0$ . Essentially, it says that $x - n$ is a factor if when you substitute $n$ into the polynomial you get a result of 0.

Thus, in our case, when we substitute $x = 2$ into the polynomial, we should get an answer of 0 if $x - 2$ is a factor of the polynomial. Given this information, we can solve for $c$ :

$p(2) = 2^3 - 4(2^2) + 2c + 2 = 0$

$8 - 16 + 2c + 2 = 0$

$2c - 6 = 0$

$2c = 6$

$c = 3$

The solution is c = 3.

7 0

3 years ago

Read 2 more answers

I make 2.5kg of popcorn and eat 750g of it while 750g of it while watching a movie . How much popcorn do i have left?

elena-14-01-66 [18.8K]

Answer:

1,75 kg

Explanation:

1 kg = 1000 g

2.5 kg = 2.5 × 1000 g = 2500 g

2500 g - 750 g = 1750 g

1750 g = 1750 ÷ 1000 kg = 1.75 kg

5 0

3 years ago

A box with a square base and open top must have a volume of 32,000 cm3. find the dimensions of the box that mini- mize the amoun

zmey [24]

Alrighty

squaer base so length=width, nice

v=lwh
but in this case, l=w, so replace l with w
V=w²h

and volume is 32000
32000=w²h

the amount of materials is the surface area
note that there is no top
so
SA=LW+2H(L+W)
L=W so
SA=W²+2H(2W)
SA=W²+4HW

alrighty

we gots
SA=W²+4HW and
32000=W²H

we want to minimize the square foottage
get rid of one of the variables
32000=W²H
solve for H
32000/W²=H
subsitute

SA=W²+4WH
SA=W²+4W(32000/W²)
SA=W²+128000/W

take derivitive to find the minimum
dSA/dW=2W-128000/W²
where does it equal 0?

0=2W-1280000/W²
128000/W²=2W
128000=2W³
64000=W³
40=W

so sub back
32000/W²=H
32000/(40)²=H
32000/(1600)=H
20=H

the box is 20cm height and the width and length are 40cm

7 0

3 years ago

You and a friend or 2 pizzas from pizza hut. you ate 7/8 of one pizza and 3/4 of the other pizza. find the product of the amount

kotegsom [21]

13/8 or 1 5/8
3/4 becomes 7/8 when add it is 13/8

6 0

3 years ago

The ratio of the geometric mean and arithmetic mean of two numbers is 3:5, find the ratio of the smaller number to the larger nu

IgorC [24]

Answer:

$\frac{1}{9}$

Step-by-step explanation:

Let the numbers be x,y, where x>y

The geometric mean is

$\sqrt{xy}$

The Arithmetic mean is

$\frac{x + y}{2}$

The ratio of the geometric mean and arithmetic mean of two numbers is 3:5.

$\frac{ \sqrt{xy} }{ \frac{x + y}{2} } = \frac{3}{5}$

We can write the equation;

$\sqrt{xy} = 3$

or

$xy = 9 - - - (2)$

l

and

$\frac{x + y}{2} = 5$

or

$x + y = 10 - - - (2)$

Make y the subject in equation 2

$y = 10 - x - - - (3)$

Put equation 3 in 1

$x(10 - x) = 9$

$10x - {x}^{2} = 9$

${x}^{2} - 10x + 9 = 0$

$(x - 9)(x - 1) = 0$

$x =1 \: or \: 9$

When x=1, y=10-1=9

When x=9, y=10-9=1

Therefore x=9, and y=1

The ratio of the smaller number to the larger number is

$\frac{1}{9}$

3 0

2 years ago