Answer:
see explanation
Step-by-step explanation:
Since the 2 figures are similar then the ratios of corresponding sides are equal, that is
[tex]\frac{8}{x}[/tex] = [tex]\frac{18}{6}[/tex] ( cross- multiply )
18x = 48 ( divide both sides by 18 )
x = [tex]\frac{48}{18}[/tex] = [tex]\frac{8}{3}[/tex] = 2 [tex]\frac{2}{3}[/tex]
Similarly
[tex]\frac{5}{y}[/tex] = [tex]\frac{18}{6}[/tex] ( cross- multiply )
18y = 30 ( divide both sides by 18 )
y = [tex]\frac{30}{18}[/tex] = [tex]\frac{5}{3}[/tex] = 1 [tex]\frac{2}{3}[/tex]
