What is the value of x, given that OP II NQ?
A. x = 7
B. x = 9
C. x = 12
D. x = 24

Answer:
Option C. x = 12
Step-by-step explanation:
we have that
Traingles MOP and MNQ are similar
therefore
The ratio of its corresponding sides is proportional
[tex]\frac{MO}{MN}=\frac{MP}{MQ}[/tex]
substitute the values
[tex]\frac{21+7}{21}=\frac{36+x}{36}[/tex]
[tex]28*36=21*(36+x)\\ \\1,008=756+21x\\ \\21x=252\\ \\x=12\ units[/tex]