Question

50 Points! Multiple choice geometry question. Photo attached. Thank you!

Answer 1

According to the basic proportionality theorem (as AC and DE are parallel) we have BE/EC = BD/DA

So

BE = EC * BD/DA

Plugging in the given numbers we get

BE = 10 * 3 /12 =30/12 = 5/2

Now, 5/2 is 4/2 + 1/2 = 2 + 1/2.

Hence the answer is D