Triangle A-C-D has a line segment B-E from side A-C to side A-D. B-E is parallel to C-D. A-B is 6, B-C is 3, A-E is 12 and E-D is x.
Carl is attempting to find the value of . He set up the proportion
. If Carl is correct, what should his answer be? If Carl is incorrect, what is the correct proportion and answer?
A.
Carl is correct and .
B.
Carl is correct and .
C.
Carl is incorrect because the proportion should be
and .
D.
Carl is incorrect because he cannot find due to lines BE and CD not being parallel.