Answer: L isn't the midpoint of segment MN.
Step-by-step explanation:
NL+LM=NM
6x-5+2x+3=4x+9
8x-2=4x+9
8x-2+2=4x+9+2
8x=4x+11
8x-4x=4x+11-4x
4x=11
Divide both parts of the equation by 2:
2x=5.5
NL=6x-5
NL=(2x)(3)-5
NL=(5,5)(3)-5
NL=16.5-5
NL=11.5
LM=2x+3
LM=5.5+3
LM=8.5
NL≠LM
Hence, L isn't the midpoint of segment MN.
