G is the midpoint for FH what is the length of FG

asked Aug 23, 2023 211k views

5 votes

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2 votes

Since G is the midpoint of FH,

$\begin{gathered} FG=GH \\ \Rightarrow11x-7=3x+9 \\ \Rightarrow11x-3x=9+7=16 \\ \Rightarrow8x=16 \\ \Rightarrow x=2 \end{gathered}$

Therefore,

$\begin{gathered} FG=11x-7=11\cdot2-7=22-7=15 \\ \Rightarrow FG=15 \end{gathered}$

The answer is 15, option a.

Aliki answered Aug 28, 2023

by Aliki

7.6k points

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