Question

Find x. PLEASE PLEASE HELP

Answer 1

Check the picture below.

`\cfrac{16}{x+2}=\cfrac{40}{3x}\implies 48x=40x+80\implies 8x=80\implies x=\cfrac{80}{8}\implies \boxed{x=10}`

Answer 2

x = 10

Explanation:

UT is an angle bisector and divides the opposite side into segments that are proportional to the other two sides, that is

`(US)/(RU)` =
`(ST)/(RT)` ( substitute values )

`(x+2)/(3x)` =
`(16)/(40)` =
`(2)/(5)` ( cross- multiply )

2 × 3x = 5(x + 2)

6x = 5x + 10 ( subtract 5x from both sides )

x = 10