Question

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Answer 1

Answer:

x = 6

Step-by-step explanation:

Since the given triangles ΔLMN and ΔCBQ are similar,

Their corresponding sides will be proportional.

$\frac{LM}{CB}= \frac{MN}{BQ}=\frac{NL}{QC}$

Since, $\frac{LM}{CB}= \frac{MN}{BQ}$

$\frac{(5x-6)}{6}=\frac{52}{13}$

5x - 6 = 24

5x = 30

x = 6

Therefore, x = 6 will be the answer.