Answer:
B) 5
Step-by-step explanation:
the ratio of both parts to each other much be the same for both lines, because the parallel lines indicate that the smaller and the larger triangles are similar (so, all corresponding pairs of lines must have the same scale factor).
so, on the shorter side we have the ratio
4/2 = 2
that means the longer part is twice as long as the shorter part.
the ratio of the longer side is then
(2x - 4)/3
where the longer part must be again twice as long as the shorter part.
therefore,
2x - 4 = 2×3 = 6
2x = 10
x = 5
