All categories

4 years ago

ABCD∼EFGH AD=45 in. , EH=75 in. , and AB=30 in. What is EF ? Enter your answer in the box. EF = in.

1 answer:

6 0

The ~ symbol means that the 2 shapes are similar, meaning the same shape but not the same size.

To determine the measure of side length EF, you must find the relationship between the 2 side lengths.

You should set these up as ratios of the length to the width. So, for ABCD, it is 30/45. Make this equal to x/75. If you simplify the first ratio to 2:3, you can then multiply by both numerator and denominator by 25 to get x = 25 in/ 75 in.

Another way is to use cross products with you proportion. 75 x 30 = 45x. Solve for x to get 50 inches.

You might be interested in

Please help me with this question thanks. PLEASE I REALLY NEED HELP ON THIS PROBLEM

arlik [135]

Step One

Find the area of the base

A = s * s

s = 755.5 feet

Area = 755.5^2

Area = 570780.25 square feet.

Step two

Multiply the volume by 3

V = 1/3 B * h

3*V = B * h

V = 85600000

85600000 * 3 = B * h

256800000 = B * h

Step Three

Divide by B

B = 570780.25

256800000 = 570780.25 * h

256800000 / 570780.25 = h

449.91 feet = h

3 0

3 years ago

Type the ordered pair that is the solution to these questions. 3x-y=13

Dvinal [7]

Answer:

Here's 3 ordered pairs:

(0,-13)(1,-10)(2,-7)

Step-by-step explanation:

They should all be correct. It doesn't matter which one you choose.

3 0

3 years ago

Find the distance between (5, -4) and (-1, -2)

Arisa [49]

Answer: The distance is sqrt(40).

Step-by-step explanation:

Let's use the Pythagorean Theorem (a^2 + b^2 = c^2)

(Look at the image I attached)

Let's set a = 2 and b = 6. The mystery side is c, which is opposite to the right angle that is formed when you draw perpendicular lines from each of the points.

(2)^2 + (6)^2 = c^2 <--- First, we need to simplify

4 + 36 = c^2

40 = c^2 <--- Now, we need to take the square root of both sides.

c = sqrt(40)

So, the distance between (5, -4) and (-1, -2) is sqrt(40). I recommend looking at some videos on Khan Academy if you need more help! Let me know if you want me to attach a link that you can visit.

5 0

3 years ago

Lilly and Maggie decorated their windows with twinkle lights. Maggie used 51 more twinkle lights than Lilly. Fill in the box wit

nadya68 [22]

We know that
m-------------------- > the amount of twinkle lights Maggie used
l--------------------- > the amount of twinkle lights Lilly used
l=70
m=51+l
therefore
m=51+70=121
m=121

the answer is 121 (amount of twinkle lights Maggie used)

6 0

4 years ago

3x + y = -21 x+y=-5 solving systems of equations by substitution

katen-ka-za [31]

First : x=-5-y and then put x in the phrase above

7 0

3 years ago