Question

Segment BD is parallel to segment CE. If AB = 4, AC = 6, and AD = 7, what is AE?

Answer 1

Answer:

             B.  10.5

Step-by-step explanation:

If BD║CE then ΔADB and ΔAEC a similar triangles

so:

     $\frac{AE}{AD}=\frac{AC}{AB}\\\\\frac{AE}{7}=\frac{6}{4}\\\\AE=\frac32\cdot7\\\\AE=\frac{21}2\\\\AE=10.5$