5. If WXYZ is an isosceles trapezoid, and WX and YZ are the legs. XY is the base. And wx = 6x - 5 YZ = 4x + 11 and XY = 9x - 3 Find x and find the length of the base XY.

Answer x=8, XY= 69
How do I show work

1 answer

Let x be the length of the legs WX and YZ.

We are given that WX = 6x - 5 and YZ = 4x + 11

Subtracting the two equations, we get:

6x - 5 - (4x + 11) = 0
2x - 16 = 0
2x = 16
x = 8

We are also given that XY = 9x - 3

Substituting x = 8, we get:

XY = 9(8) - 3 = 69

Therefore, x = 8 and the length of the base XY is 69.