Answered

If point P is 4/7 of the distance from M to N, then point P partitions the directed line segment from M to N into a .. (GEOMTRY HELP PLS)

A4:1
B4:3
C4:7

d: 4:11

Verified Answer :

I believe it's 4:11.

Answer:

The answer is 4:3

Step-by-step explanation:

Given the line segment MN & P is the point partitioned the line segment MN such that point P is 4/7 of distance from M to N.

∴ Let the distance between M to N is x.

⇒ \(MP=\frac{4x}{7}\)

Now, MN = MP+PN

⇒ \(\frac{4x}{7}+PN=x\)

⇒ \(PN=x-\frac{4x}{7}\)

⇒ \(PN=\frac{3x}{7}\)

Hence, point P partitioned the line segment MN into

\(\frac{\frac{4x}{7}}{\frac{3x}{7}}= \frac{4x}{7}\times \frac{7}{3x}\)  

        = 4:3

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