Question

Find the missing value. X 5 3 3 6 equal

Answer 1

Similar triangles

The image provided with the question shows 3 similar triangles. The lines of length a, m, and 5 are parallel, so the lengths are proportional

The proportionality can be written as:

`(3)/(2)=(3+6)/(2+4)=(3+6+3)/(x+4+2)`

Operating:

`(3)/(2)=(9)/(6)=(12)/(x+6)`

The first two parts of the equalities are the same fraction (when simplified). We can use the last and the first one to find x:

`(3)/(2)=(12)/(x+6)`

Cross-multiplying:

3(x + 6) = 2*12

Dividing by 3:

x + 6 = 8

Subtracting 6:

x = 2