Question

in exercises 13–19, find fh.

Explanation:

Since the image is a bit unclear, let's assume we are dealing with a segment addition problem (common in Geometry, a subfield of Mathematics) where \( FH = FG + GH \) (if \( G \) is between \( F \) and \( H \)) or other segment addition postulate cases. Let's take a typical example from such problems (like problem 13, 14, etc.). Let's assume for a problem where \( FG = 5 \) and \( GH = 14 \) (from the first diagram):

Step1: Identify segment addition

If \( G \) is between \( F \) and \( H \), then \( FH = FG + GH \).

Step2: Substitute values

Given \( FG = 5 \), \( GH = 14 \), so \( FH = 5 + 14 \).

Step3: Calculate sum

\( 5 + 14 = 19 \).

Answer:

\( 19 \)

(Note: If the values in the diagram are different, adjust the substitution. For example, if another problem has \( FG = 11 \) and \( GH = 13 \), then \( FH = 11 + 13 = 24 \), etc. The key is using the segment addition postulate: if three points are collinear with the middle one being \( G \), then \( FH = FG + GH \).)