Question

point f is on line segment $overline{eg}$. given $fg = 5$ and $ef = 14$, determine the length $overline{eg}$.

Explanation:

Step1: Recall segment - addition postulate

Since point F is on line segment $\overline{EG}$, then $EG=EF + FG$.

Step2: Substitute given values

We know that $EF = 14$ and $FG = 5$. So, $EG=14 + 5$.

Step3: Calculate the sum

$EG=19$.

Answer:

$19$