Question

Your house is located at point L. Your friend's house is located at point N.

Answer 1

Answer:  12 units

Replace "units" with "feet", "meters", etc. if your teacher instructs it.

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Explanation:

M is the midpoint, which means segments LM and MN are the same length. This is because M cut LN in half.

So,

LM = MN

3x = 2x+2

3x-2x = 2

x = 2

Use this x value to then say

• LM = 3x = 3*2 = 6
• MN = 2x+2 = 2*2+2 = 4+2 = 6

Segments LM and MN are 6 units each.

From that, we know,

LN = LM+MN = 6+6 = 12

The distance from your house to your friends house is 12 units.