Using proportions, it is found that point N divides the segment MR in a ratio of 5/6.
What is a proportion?
A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.
To find the ratio that N divides MR, we find the ratio r as follows:
N - M = r(R - M).
This ratio will be the same for the x-coordinate and for the y-coordinate. Hence, using the x-coordinates, the ratio will be found as follows;
5 - 0 = r(6 - 0)
r = 5/6.
Hence point N divides the segment MR in a ratio of 5/6.
More can be learned about proportions at brainly.com/question/24372153
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