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31 votes
31 votes
Point S lies between points R and T on Line segment R T. A line contains points R, S, T. The space between R and S is 2 x. The space between S and T is 3 x. If RT is 10 centimeters long, what is ST?

User Anton Putov
by
2.5k points

2 Answers

28 votes
28 votes

Answer:

C or 6 centimeters

Explanation:

User Qun
by
2.7k points
23 votes
23 votes

Answer:


ST = 6cm

Explanation:

Given


RS =2x


ST = 3x


RT = 10

Required

Find ST

From the question, we understand that S is between R and T.

So:


RS + ST = RT

Substitute known values


2x + 3x = 10


5x =10

Divide both sides by 5


x =2

Given that:


ST = 3x


ST = 3 * 2


ST = 6cm

User Kirill Groshkov
by
2.5k points