Question

I need this solved please

Answer 1

see explanation

Explanation:

`(RU)/(US)` =
`(2a)/(3a)` =
`(2)/(3)` and
`(TV)/(VS)` =
`(6c)/(9c)` =
`(6)/(9)` =
`(2)/(3)`

If a line is parallel to a side of a triangle and it intersects the other 2 sides then it divides those sides proportionally.

since the 2 sides are in proportion ( shown above ) then conversely the line is parallel to the side of the triangle, that is

RT is parallel to UV