Question

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

Explanation:

Step1: Identify equal - length segments

Since $\overline{DE}\cong\overline{BC}$, then $DE = BC$. Given $DE = 6$ and $BC = 5$, this is a contradiction in the problem - setup as congruent segments should have equal lengths. Assuming it's a typo and we use the values correctly, we know that $AC=AD + DE+EB + BC$.

Step2: Substitute the given values

$AD = 7$, $DE = 6$, $EB = 5$, $BC = 6$ (assuming $DE$ and $BC$ are equal as per congruence). Then $AC=7 + 6+5 + 6$.

Step3: Calculate the sum

$AC=24$.

Answer:

$24$