Answer:
9
Explanation:
Points R, S, and T are collinear.
RT = x + 5
ST = 4x - 9
RS = x - 2
First, create an equation to find the value of the variable x
RS + ST = RT (segment addition postulate)
(x - 2) + (4x - 9) = (x + 5) (substitution)
Solve for x
x - 2 + 4x - 9 = x + 5
Collect like terms
5x - 11 = x + 5
5x - x = 11 + 5
4x = 16
Divide both sides by 4
4x/4 = 16/4
x = 4
RT = x + 5
Plug in the value of x
RT = 4 + 5
RT = 9