Question

segment addition / subtraction (numbers) unique id 0533 score 4/10 penalty none question point f is on line segment \\( \overline{eg} \\). given \\( eg = 12 \\) and \\( fg = 8 \\), determine the length \\( \overline{ef} \\). answer attempt 1 out of 2 \\( ef = \boxed{} \\) submit answer

Explanation:

Step1: Apply Segment Addition Postulate

Since point \( F \) is on segment \( \overline{EG} \), we know that \( EG = EF + FG \).

Step2: Solve for \( EF \)

We can rearrange the formula to solve for \( EF \): \( EF = EG - FG \).
Substitute \( EG = 12 \) and \( FG = 8 \) into the formula: \( EF = 12 - 8 \).
Calculate the result: \( EF = 4 \).

Answer:

\( 4 \)