What is the unknown measure in this similar figure?

1. 34
2. 35
3. 32

Explanation:

We're told that triangle ABC is similar to triangle WYX. The order of the letters is important because the letters line up and pair up with one another.

We want to find the length of XY or YX. This segment pairs with BC. Note how YX represent the last two letters of WYX, while BC represents the last two letters of ABC.

The two corresponding sides form the ratio YX/BC which turns into x/28.

Another pair of corresponding sides is WY/AB which becomes 40/32. This reduces to 5/4. Note how WY and AB are the first two letters of WYX and ABC.

Set those two fractions equal to one another and solve for x

x/28 = 5/4

4x = 28*5 cross multiply

4x = 140

x = 140/4 divide both sides by 4

x = 35

Therefore, side YX is 35 inches long.

it's equivalent, so we can say that its equal.

let's call the denominator x and the numerador is 18 less then denominator, x - 18.

multiply

2.x = 5.(x - 18)

2x = 5x - 90

90 = 5x - 2x

90 = 3x

x = 90/3

x = 30

so: