Question

Please someone help me answer thank you

Answer 1

AC/EC=DF/DE
AC/44=15/22
AC=(44)(15)/22
AC=30

Answer 2

Given that points B, D, F are the midpoints of sides of triangle ΔACE.

Using Triangle's Mid-segment theorem, we can say that a line joining midpoints of two sides of a triangle is parallel and half of the length of the third side.

It means DF║AC and DF = $\frac{AC}{2}$

Given DF = 15 in the question, so AC = 2·DF = 2×15 = 30.

So, AC = 30 is the final answer.