Question

point f is on line segment \overline{eg}. given ef = 5 and fg = 3, determine the length \overline{eg}.
answer attempt 1 out of 2
eg =

Explanation:

Step1: Apply the segment addition postulate

If a point \(F\) lies on a line segment \(\overline{EG}\), then \(EG = EF+FG\).

Step2: Substitute the given values

We know \(EF = 5\) and \(FG = 3\). Substituting these into the formula \(EG=EF + FG\), we get \(EG=5 + 3\).

Step3: Calculate the sum

\(5+3=8\).

Answer:

\(8\)