Answer:
Lenght of RS= 2
Explanation:
We were told that Points R, S, and T are collinear, then RT, RS and ST are on straight line which can be expressed linearly as;
RS + ST= RT.......eqn(1)
We know that
RS = 2x – 4
ST = 3x + 2
RT = 13.
Then just substitute these into eqn(1)
(2x - 4) + (3x + 2)= 13
If you simplify and collect like-terms
bracket we have
2x+3x=13+4
5x =15
x=15/5
x = 3
To find RS, Then substitute the value of x into equation of RS, we have
RS = 2x – 4
RS = 2(3) - 4
= 6 - 4
= 2
Therefore, the length of RS =2
