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10. the triangles below are similar. find the value of x. round your an…

Question

  1. the triangles below are similar. find the value of x. round your answers to the nearest whole number. a. 62 c. 54 b. 31 d. 57

Explanation:

Step1: Set up proportion

Since the triangles are similar, the ratios of corresponding sides are equal. So we have $\frac{x}{18}=\frac{21}{7}$.

Step2: Solve for x

Cross - multiply: $7x = 18\times21$. Then $7x=378$. Divide both sides by 7: $x=\frac{378}{7}=54$.

Answer:

c. 54