Question

Find the value of x.

Answer 1

Explanation:

I am assuming the triangles are similar.

You can make a proportion between the two triangles and solve for x but you must match the sides properly.

RS ≈ MN

ST ≈ NO

Making a proportion between the sides:

`(x)/(3)` =
`(6)/(4)`

cross multiplyand then divide

6 · 3 = 18

18 ÷ 4 = 4.5

x = 4.5

If you check the ratios - they are all the same.

For example 6 ÷ 4 = 1.5

7.5 ÷ 5 = 1.5

4.5 ÷ 3 = 1.5

this checks out