WXY is an isosceles trapezoid with legs WX and YZ and base XY. If the length of WX is 2x+27, the length of XY is 3x-10, and the length of YZ is 5x-12, find the value of x.
Since WXY is an isosceles trapezoid, we know that the length of its legs WX and YZ are equal. Therefore,
2x+27 = 5x-12
Subtracting 2x from both sides gives:
27 = 3x-12
Adding 12 to both sides gives:
39 = 3x
Dividing by 3 gives:
x = 13
Therefore, the value of x is 13.