Question

R, S, and T are collinear, and S is between R and T. If RS = x + 1, ST = 2x - 2, and RT = 5x - 5, find RT.

Answer 1

2+1=3 2(2)-2=2 5(2)-5=5
3 + 2 = 5


X=2

Answer 2

RT=5

Explanation:

You just have to solve the equations, as you know, RST are collinear and RT equals RS + ST, so we just put that into an equation:

`Rt=RS+ST\\5x-5=x+1+(2x-2)\\5x-5=3x-1\\2x=4\\x=2`

Now as we know x=2 now we just insert that value into the value of RT:

`RT= 5x-5\\RT= 5(2)-5\\RT=10-5\\RT=5`

So the answer is RT equals 5 units.