Answer
5
Step-by-step explanation
From the diagram:
[tex]\bar{FG}+\bar{GH}=\bar{FH}[/tex]
Substituting FG = 4x, GH = x + 4, and FH = 9, and solving for x:
[tex]\begin{gathered} 4x+(x+4)=9 \\ (4x+x)+4=9 \\ 5x+4=9 \\ 5x+4-4=9-4 \\ 5x=5 \\ \frac{5x}{5}=\frac{5}{5} \\ x=1 \end{gathered}[/tex]
Substituting x = 1 into the formula of GH, we get:
[tex]\begin{gathered} \bar{GH}=x+4 \\ \bar{GH}=1+4 \\ \bar{GH}=5 \end{gathered}[/tex]
