Answer:
MB = 2/5 = 0.4
Explanation:
You want the measure of MB in the figure where AB║CD, AB = 1, CB = 2, CD = 4, and AD crosses CB at point M.
Similar triangles
Triangle ABM is similar to triangle DCM, so the side lengths are proportional.
CD/AB = CM/MB
4/1 = (2 -MB)/MB . . . . . . substituting CM = CB - MB
4·MB = 2 -MB . . . . multiply by MB
5·MB = 2 . . . . . . . . add MB
MB = 2/5 . . . . . . . . divide by 5
The length of segment MB is 2/5 = 0.4 units.
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