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△ KLM ∼ △ KCB . What is the value of x?

△ KLM ∼ △ KCB . What is the value of x?-example-1
User Himerzi
by
4.6k points

1 Answer

2 votes

Answer:


x=8

Explanation:

Since the two triangles are similar, write the following proportion:


(24)/(16)=(15)/(2x-6)

Cross-multiply and solve:


24(2x-6)=16\cdot 15,\\48x-144=240,\\48x=384,\\\fbox{$x=8$}.

User Martin Thiede
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5.0k points