Answer:
4
Step-by-step explanation:
it means that
RT = RS + ST
5x - 4 = x + 3x
5x - 4 = 4x
5x - 4x = 4
x = 4
so, the length of RS = 4
The numerical length of RS is 4.
The distance between any two points is the length of the line segment joining the points.
Now the given points are,
RT = 5x – 4,
ST = 3x,
and RS = x,
Since, Point R, S and T are collinear.
∴ RS + ST = RT (segment addition postulate)
⇒ x + 3x = 5x - 4
Solving,
4x = 5x - 4
Rearranging them by taking constant at one side and variables to another we get,
4x - 5x = -4
Solving,
- x = - 4
Multiplying equation with -1, we get
x = 4
⇒RS = x = 4
Hence,The numerical length of RS is 4.
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