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4. if g is the midpoint of $overline{fh}$, find fg. 11x - 7 3x + 9 f g h

Question

  1. if g is the midpoint of $overline{fh}$, find fg.

11x - 7 3x + 9
f g h

Explanation:

Step1: Set FG equal to GH (midpoint property)

$11x - 7 = 3x + 9$

Step2: Solve for x

$11x - 3x = 9 + 7 \implies 8x = 16 \implies x = 2$

Step3: Substitute x=2 into FG

$FG = 11(2) - 7 = 22 - 7 = 15$

Answer:

15