Answer:
2 units.
Step-by-step explanation:
It is given that point M is on line segment LN. So,
[tex]LN=LM+MN[/tex] (Segment addition property)
The given values are LN=3x+3, LM=4x, and MN=2x. Substitute these values in the above formula.
[tex]3x+3=4x+2x[/tex]
[tex]3x+3=6x[/tex]
Subtract 3x from both sides.
[tex]3x+3-3x=6x-3x[/tex]
[tex]3=3x[/tex]
Divide both sides by 3.
[tex]1=x[/tex]
[tex]x=1[/tex]
The value of x is 1.
Now,
[tex]MN=2x=2(1)=2[/tex]
Therefore, length of MN is 2 units.
