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
[tex]\frac{x}{24}[/tex] = [tex]\frac{12}{18}[/tex] = [tex]\frac{2}{3}[/tex] ( cross- multiply )
3x = 48 ( divide both sides by 3 )
x = 16
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[tex]\frac{y}{6}[/tex] = [tex]\frac{18}{12}[/tex] = [tex]\frac{3}{2}[/tex] ( cross- multiply )
2y = 18 ( divide both sides by 2 )
y = 9
