Answer:
y = 10.5
Step-by-step explanation:
Δ MOP and Δ MNQ are similar then the ratios of corresponding sides are in proportion, that is
[tex]\frac{OP}{NQ}[/tex] = [tex]\frac{MO}{MN}[/tex] ( substitute values )
[tex]\frac{y}{7}[/tex] = [tex]\frac{8+4}{8}[/tex] = [tex]\frac{12}{8}[/tex] ( cross- multiply )
8y = 84 ( divide both sides by 8 )
y = 10.5
