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

asked Dec 6, 2022 90.9k views

13 votes

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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$}$ .

Martin Thiede answered Dec 13, 2022

6.7k points

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