Answer:
D
Step-by-step explanation:
ΔMLN and ΔQPN are similar triangles thus the ratios of corresponding sides are equal.
[tex]\frac{MN}{QN}[/tex] = [tex]\frac{ML}{QP}[/tex], that is
[tex]\frac{MN}{9}[/tex] = [tex]\frac{6}{8}[/tex] ( cross- multiply )
8MN = 54 ( divide both sides by 8 )
MN = [tex]\frac{54}{8}[/tex] = 6 [tex]\frac{3}{4}[/tex] → D
