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3 years ago

Find EF in the trapezoid.

Mathematics

1 answer:

love history [14]3 years ago

4 0

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

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3 years ago