Answer:
LM= 4
Step-by-step explanation:
In the triangle KLM, ON is the mid segment of KLM
WE use triangle Mid segment theorem
MN= twice of ON
MN= 2 times of ON
4x= 2(x+1)
distribute 2 inside the parenthesis
4x= 2x+2
Subtract 2x on both sides
4x-2x= 2x+2-2x
2x= 2
divide by 2 on both sides
x= 1
To find length of MN, we plug in 1 for x
MN= 4x= 4(1)= 4