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2. 20 14 x 33

Question

  1. 20 14 x 33

Explanation:

Step1: Use similar - triangle property

Since the two triangles are similar, the ratios of their corresponding sides are equal. The ratio of the vertical sides is $\frac{14}{20}$, and this ratio should be equal to the ratio of the horizontal sides $\frac{x}{33}$.

Step2: Set up the proportion equation

We have the proportion $\frac{14}{20}=\frac{x}{33}$.

Step3: Cross - multiply and solve for x

Cross - multiplying gives $20x = 14\times33$. Then $x=\frac{14\times33}{20}=\frac{462}{20}=23.1$.

Answer:

$23.1$