80.2k views
4 votes
In figure, MN : NP = 9:1. If MP = 2. Find the distance from M to point K (not shown) that is a midpoint of PN.

In figure, MN : NP = 9:1. If MP = 2. Find the distance from M to point K (not shown-example-1

2 Answers

5 votes

Answer:

1.9

Explanation:

User TobyG
by
5.4k points
5 votes

Answer:

1.9 units

Explanation:

Since we have ...

MN : NP = 9 : 1

then ...

NP : MN+NP = 1 : (9+1) = 1 : 10

If MP is 2 units, then NP is 1/10 × 2 units = 0.2 units. Point K will be half that distance from N or P, so will be 0.1 unit from P.

So, the distance from M to K, the midpoint of NP is ...

2 units - 0.1 units = 1.9 units

User Sarwat
by
5.6k points