Question

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

Answer 1

correct answer is RT=5x-5

Explanation:

Answer 2

If you put and label the three points in a line, you will see that RS + ST = RT.

Then you only need to substitue with the expressions given for RS and ST to find RT.

RT = x +1 + 2x - 2 = 3x - 1

Also, RT = 5x - 5

Then, 3x - 1 = 5x - 5

5x - 3x = 5 - 1

2x = 4

x = 4/2 = 2

NOw substitute x in any of the expressions for RT:

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

Answer: RT = 5