Question

1. if g is the midpoint of $overline{fh}$, $fg = 14x + 25$, and $gh = 73 - 2x$, find $fh$.

Explanation:

Step1: Set FG equal to GH.

$14x + 25=73 - 2x$

Step2: Solve for x.

$14x+2x=73 - 25$
$16x = 48$
$x = 3$

Step3: Find FG or GH value.

$FG=14\times3 + 25=42 + 25 = 67$

Step4: Calculate FH.

$FH = 2\times FG=2\times67 = 134$

Answer:

134