Question

May you please help me find x in this trapezoid?

Answer 1

Given data:

The given trapezium is shown.

The expression for the mid-segment of the trapezium is,

`\begin{gathered} WZ=(UV+ST)/(2) \\ (7x+8)=((8x-1)+(10x+5))/(2) \\ 14x+16=18x+4 \\ -4x=-12 \\ x=3 \end{gathered}`

Thus, the value of x is 3.