Question

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

Answer 1

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

$\frac{MO}{MN}=\frac{MP}{MQ}$

substitute the values

$\frac{21+7}{21}=\frac{36+x}{36}$

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