legend9243 legend9243

11-01-2018
Mathematics

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Find the value of x in the diagram below.
1 7 7/15 15/7

Find the value of x in the diagram below 1 7 715 157 class=

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altavistard altavistard

13-01-2018

The trick here is to recognize that triangles ABE and CDE are similar.

Because they're similar, 14/18 = 3x/(4x-1).

Then 14(4x-1) = 18(3x). Multiplying as indicated, 56x - 14 = 54 x.

Solving for x: 2x = 14, and x = 7

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