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QUESTION IMAGE

find fh. diagram: line segment with points f, h, g (f---h---g), fg labe…

Question

find fh.
diagram: line segment with points f, h, g (f---h---g), fg labeled 53, hg labeled 40, tick marks on f and g endpoints
fh = \square

Explanation:

Step1: Identify segment relationships

The segment \( FG = 53 \) and \( HG = 40 \). Since \( FH + HG = FG \), we can solve for \( FH \).

Step2: Solve for \( FH \)

Using the equation \( FH = FG - HG \), substitute \( FG = 53 \) and \( HG = 40 \).
\( FH = 53 - 40 \)
\( FH = 13 \)

Answer:

\( 13 \)