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Answer:
6 cm
Step-by-step explanation:
Given that:
A line that contains the points R, S and T.
Distance between R and S = [tex]2x[/tex]
Distance between S and T = [tex]3x[/tex]
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
[tex]2x + 3x = 10\\\Rightarrow 5x=10\\\Rightarrow x = 2[/tex]
ST = 3[tex]x[/tex] = 3 [tex]\times[/tex] 2 = 6 cm
Therefore, the answer is:
Distance between S and T is 6 cm.
If the space between R and S is 2x, the space between S and T is 3x, and RT is 10 centimeters long, then ST is 6 centimeters
Point S lies between points R and T on Line segment RT
RT = RS + ST
The space between R and S is 2x
That is, RS = 2x
The space between S and T is 3x
That is, ST = 3x
RT is 10 centimeters long
RT = 10cm
Substitute RT = 10, ST = 3x and RS = 2x into the equation RT = RS + ST
10 = 2x + 3x
10 = 5x
x = 10/5
x = 2
If x = 2, then
ST = 3x
ST = 3(2)
ST = 6 centimeters
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