Question

point f is on line segment $overline{eg}$. given $ef = 6$ and $eg = 11$, determine the length $overline{fg}$.

Explanation:

Step1: Identify the relationship

Since F is on line - segment $\overline{EG}$, we know that $EG=EF + FG$.

Step2: Solve for FG

We can rewrite the equation as $FG=EG - EF$.
Substitute $EF = 6$ and $EG = 11$ into the equation: $FG=11 - 6$.
$FG = 5$

Answer:

5