Question

Points R, S, and T are collinear, and S is between R and T. In addition, RS = 2x – 4, ST = 3x + 2, and RT = 13. Find the length of RS.

Answer 1

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