FInd WY Given: Giving

Answers:

Explanation:

The tickmarks show that WZ and XY are the same length. The arrows show that WX is parallel to ZY. This is an isosceles trapezoid.

For any isosceles trapezoid like this, the diagonals are the same length. We can prove it using the SAS congruence theorem.

So,

WY = XZ

15x-2 = 9x+10

15x-9x = 10+2

6x = 12

x = 12/6

x = 2 first answer

Use that value of x to find the length of each diagonal.

Both diagonals are 28 units long, which helps confirm we have the right x value.

x=2

WY=28

Step-by-step explanation:

WY=XZ

15x-2=9x+10

add 2 by both sides

15x=9x+12

subtract 9x by both sides

6x=12

divide both sides by 6 to isolate x

x=2

plug in 2 for x in 15x-2

WY=15(2)-2

WY=30-2

WY=28