Answer:
XZ = 28
Step-by-step explanation:
The trapezoid is isosceles because it has two equal sides WZ and XY.
The diagonals of isosceles trapezoids have the same length. So, WY is equal to XZ and we can write the following equation:
WY = XZ
15x - 2 = 9x + 10
Then, solving for x, we get:
15x - 2 = 9x + 10
15x - 2 + 2 = 9x + 10 + 2
15x = 9x + 12
15x - 9x = 9x + 12 - 9x
6x = 12
6x/6 = 12/6
x = 2
Therefore, the value of XZ is equal to:
XZ = 9x + 10
XZ = 9(2) + 10
XZ = 18 + 10
XZ = 28
So, the answer is XZ = 28