Question

find the measure of (overline{ef}).
diagram: a line segment with points e, g, f (in order). segment (eg = 2.5) in, segment (gf = 2.8) in.

Explanation:

Step1: Identify segment addition

Since \( G \) is on \( \overline{EF} \), \( EF = EG + GF \).

Step2: Substitute values

\( EG = 2.5 \) in, \( GF = 2.8 \) in. So \( EF = 2.5 + 2.8 \).

Step3: Calculate sum

\( 2.5 + 2.8 = 5.3 \).

Answer:

The measure of \( \overline{EF} \) is \( 5.3 \) inches.