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Solve for x. The triangles in each pair are similar please question number 14

Solve for x. The triangles in each pair are similar please question number 14-example-1
User Mirela
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1 Answer

24 votes
24 votes

Given that the triangle CDE is similar to triangle CML, it means that the ratio of their corresponding sides are equal. It means that

CD/CM = DE/ML = CE/CL

CD = 20 + 12x + 2 = 12x + 22

CE = 30 + 12 = 42

20/12x + 22 = 12/42

By cross multipying, it becomes

12(12x + 22) = 20 * 42

144x + 264 = 840

144x = 840 - 264 = 576

x = 576/144

x = 4

User Aater Suleman
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