Answer:
2 units.
Step-by-step explanation:
Given : LN = (3x + 3)
LM = 4x
and MN = 2x
To find : (Length of MN)
Point M lies on a line segment LN.
As shown in the figure m(LN) = m(MN)
Now we plug in the values.
(3x+3) = 4x + 2x
3x + 3 = 6x
3 = 6x - 3x
3 = 3x
x = ( [tex]\frac{3}{3}[/tex] = 1
Since MN = 2x
= 2 × 1
= 2 units.
MN = 2
This question is dealing with division of line segments.
The line segment is Line LN.
A point M is on the line segment such that;
LN = (3x + 3)
LM = 4x
MN = 2x
Thus;
LM + MN = LN
Plugging in the relevant values;
4x + 2x = (3x+3)
6x = 3x + 3
rearranging, gives;
6x - 3x = 3
3x = 3
x = 3/3
x = 1
MN = 2x
Thus; MN = 2(1)
MN = 2
Read more at; brainly.in/question/33663816
