Question

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? 2 centimeters 4 centimeters 6 centimeters 8 centimeters

Answer 1

Answer:

6 cm

Step-by-step explanation:

The given situation and dimensions can be represented in the form of a diagram as shown in the attached diagram.

As per given statement and in the diagram, we can deduce that the sum of distance between R and S, S and T is equal to distance between R and T.

i.e. RS + ST = RT

\begin{gathered}2x + 3x = 10\\\Rightarrow 5x=10\\\Rightarrow x = 2\end{gathered}

2x+3x=10

⇒5x=10

⇒x=2

I hope it is useful for you

ST = 3xx = 3 \times× 2 = 6 cm

Therefore, the answer is:

Distance between S and T is 6 cm.