Answer:
y = 44
Step-by-step explanation:
Slopes of parallel lines are equal.
P(15, 7)
Q(20, 14)
[tex]m_{PQ}[/tex] = [tex]\frac{14-7}{20-15}[/tex] = [tex]\frac{7}{5}[/tex]
G(3, 2)
F(33, y)
[tex]m_{PQ}[/tex] = [tex]m_{GF}[/tex] = [tex]\frac{y-2}{33-3}[/tex] = [tex]\frac{7}{5}[/tex]
5(y - 2) = 7(30)
y - 2 = 42
y = 44
