Question

What is the value of x?

Answer 1

Answer:

9

Step-by-step explanation:

The two triangles $\triangle MNP\sim \triangle RST$.

Therefore the corresponding sides are proportional.

$\frac{|ST|}{|PN|} =\frac{|TR|}{|MP|}$

From the diagram |MP|=4, |PN|=3, |MN|=5 |ST|=x and |TR|=12.

Let us substitute the values and solve for x.

$\frac{12}{4}=\frac{x}{3}$

Multiply both sides by 3 to get:

$3*\frac{12}{4}=\frac{x}{3}*3$

This implies that:

$9=x$

Therefore x=9