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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)
A. 4:1
b. 4:3
c. 4:7
d: 4:11

Respuesta :

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.

⇒ [tex]MP=\frac{4x}{7}[/tex]

Now, MN = MP+PN

⇒ [tex]\frac{4x}{7}+PN=x[/tex]

⇒ [tex]PN=x-\frac{4x}{7}[/tex]

⇒ [tex]PN=\frac{3x}{7}[/tex]

Hence, point P partitioned the line segment MN into

[tex]\frac{\frac{4x}{7}}{\frac{3x}{7}}= \frac{4x}{7}\times \frac{7}{3x}[/tex]  

        = 4:3

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