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In the figure below, N lies between M and P.

Find the location of N so that the ratio of MN to NP is 4 to 5 .

In the figure below, N lies between M and P. Find the location of N so that the ratio-example-1

1 Answer

6 votes


(MN)/(NP) = (4)/(5) \\


MP = 26 - 8


MP = 18


MP / (4 + 5) = 18 / (4 + 5)


(MP)/(9) = (18)/(9) \\


(MP)/(9) = 2 \\

Thus;


MN = 2 * 4


MN = 8

and


NP = 2 * 5


NP = 10

So the location of N is :


N = 8 + 8 \: \: or \: \: N = 26 - 10


N = 16

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