Question

1. find ac if $overline{de}congoverline{bc}.$

Explanation:

Step1: Identify equal - length segments

Since $\overline{DE}\cong\overline{BC}$, and $DE = 6$, then $BC=6$.

Step2: Calculate the length of AC

$AC=AD + DE+EB + BC$. Given $AD = 7$, $DE = 6$, $EB = 5$, and $BC = 6$. So $AC=7 + 6+5 + 6$.
$AC=24$.

Answer:

$24$