DelisaI70965 DelisaI70965

03-11-2022
Mathematics

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

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

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ZakariH543967 ZakariH543967

03-11-2022

Since G is the midpoint of FH,

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

Therefore,

[tex]\begin{gathered} FG=11x-7=11\cdot2-7=22-7=15 \\ \Rightarrow FG=15 \end{gathered}[/tex]

The answer is 15, option a.

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