Question

What is the value of x & y?

Answer 1

Answer:

x = 16, y = 9

Step-by-step explanation:

The 2 triangles are similar by the AA postulate, thus the ratios of corresponding sides are equal, that is

$\frac{x}{24}$ = $\frac{12}{18}$ = $\frac{2}{3}$ ( cross- multiply )

3x = 48 ( divide both sides by 3 )

x = 16

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$\frac{y}{6}$ = $\frac{18}{12}$ = $\frac{3}{2}$ ( cross- multiply )

2y = 18 ( divide both sides by 2 )

y = 9