Answer:
Explanation:
Here is the complete question;
M is the midpoint of line segment LN. If LM= 3x + 5 and LN= 5x + 40, find the length of LN.
Since M is the midpoint of LN, hence LM + MN = LN and LM = MN
LM + LM = LN
2LM = LN ..... *
Given;
LM= 3x + 5
LN= 5x + 40
Substitute into the eqn *
2(3x+5) = 5x+40
6x+10 = 5x+40
6x-5x = 40-10
x = 30
Get the length LN
LN= 5x + 40
LN = 5(30)+40
LN = 150+40
LN = 190
Hence the length of LN is 190