Question

What is the value of x, given that OP II NQ?

A. x = 7
B. x = 9
C. x = 12
D. x = 24

Answer 1

Option C. x = 12

Explanation:

we have that

Traingles MOP and MNQ are similar

therefore

The ratio of its corresponding sides is proportional

`(MO)/(MN)=(MP)/(MQ)`

substitute the values

`(21+7)/(21)=(36+x)/(36)`

`28*36=21*(36+x)\\ \\1,008=756+21x\\ \\21x=252\\ \\x=12\ units`