Question

Line Segment CD is the midsegment of trapezoid ABFE. What is the value of x?

~a.) 7.5
~b.) 12
~c.) 17.5
~d.) 23.25

Answer 1

`\textit{midsegment of a trapezoid}\\\\ m=\cfrac{a+b}{2} ~~ \begin{cases} a,b=\stackrel{parallel~sides}{bases~\hfill }\\[-0.5em] \hrulefill\\ a=19.5\\ b=27 \end{cases}\implies m=\cfrac{19.5+27}{2}\implies m=23.25`