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

Step-by-step explanation:

Answer 2

Answer:

6 cm

Step-by-step explanation:

Given that:

A line that contains the points R, S and T.

Distance between R and S = $2x$

Distance between S and T = $3x$

To find:

The distance between S and T = ?

Solution:

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

$2x + 3x = 10\\\Rightarrow 5x=10\\\Rightarrow x = 2$

ST = 3$x$ = 3 $\times$ 2 = 6 cm

Therefore, the answer is:

Distance between S and T is 6 cm.