Question

Find EF in the trapezoid.

Answer 1

so hmmm if you notice the tickmarks, the left-side is split in halves, and the right-side is also split in halves, that makes EF the midsegment of the trapezoid

thus
`\bf \textit{midsegment of a trapezoid}\\\\ m=\cfrac{base1+base2}{2}\qquad \begin{cases} base1, base2=\textit{parallel sides}\\ ----------\\ base1=x+8\\ base2=58\\ m=6x \end{cases} \\\\\\ 6x=\cfrac{(x+8)+(58)}{2}\implies 6x=\cfrac{x+8+58}{2}\implies 12x=x+66`

and surely you know how much that is