n the parallelogram below, if AP = 112 and PC = 5x + 12, find x.

The two segments of the diagonal have the same value in a parallelogram, then
[tex]AP=PC[/tex]Therefore
[tex]\begin{gathered} 112=5x+12 \\ \\ 5x=112-12 \\ \\ 5x=100 \\ \\ x=\frac{100}{5} \\ \\ x=20 \end{gathered}[/tex]The correct answer is the letter A. 20