Question

find the lengths of the segments with variable expressions. ef = □

Explanation:

Step1: Assume trapezoid ABCD with mid - segment EF

In a trapezoid, the length of the mid - segment is given by the formula $EF=\frac{AD + BC}{2}$. Here, $AD=x - 4$ and $BC = 2x-7$.

Step2: Substitute values into the formula

$EF=\frac{(x - 4)+(2x-7)}{2}=\frac{x - 4+2x-7}{2}=\frac{3x-11}{2}$.

Answer:

$\frac{3x - 11}{2}$