Question

g is the midpoint of $overline{fh}$. if $fg = 2x$ and $gh=x + 8$, what is $fg?
simplify your answer and write it as a proper fraction, mixed number, or integer.

Explanation:

Step1: Use mid - point property

Since \(G\) is the mid - point of \(\overline{FH}\), then \(FG = GH\). So, \(2x=x + 8\).

Step2: Solve for \(x\)

Subtract \(x\) from both sides of the equation \(2x=x + 8\). We get \(2x-x=x + 8-x\), which simplifies to \(x = 8\).

Step3: Find \(FG\)

We know that \(FG = 2x\). Substitute \(x = 8\) into the expression for \(FG\). So, \(FG=2\times8=16\).

Answer:

16