Explanation:
Concept:
To calculate the value of x, we will use the relation below
[tex]\begin{gathered} QR=GH \\ QR=3x+16 \\ GH=5x-22 \end{gathered}[/tex]
Bu\y substituing the values, we will have
[tex]\begin{gathered} QR=GH \\ 5x-22=3x+16 \\ collect\text{ similar terms, we will have} \\ 5x-3x=16+22 \\ 2x=38 \\ \frac{2x}{2}=\frac{38}{2} \\ x=19 \end{gathered}[/tex]
Hence,
The final answer is
[tex]19[/tex]
OPTION C is the correct answer
