Answer :
The length of line segment l n on which point m lines in between is 64 units. Option 4 is the correct option.
What is the length of line segment?
Length of a line segment is the distance of both the ends of it.
Point m lies between points l and n on line segment l n .
- The space between l and m is 10x 8.
- The space between m and n is 5x -4.
The value of line segment LN is,
[tex]LN = 12x +16[/tex]
The sum of LM and LN is equal to the line segment LN. Thus,
[tex]LM+MN=LN\\10x +8+(5x-4)=12x+ 16\\10x +8+5x-4=12x+ 16\\10x+5x-12x=16 -8+4\\3x=12\\x=\dfrac{12}{3}\\x=4[/tex]
Put this value of x in the equation of line segment LN,
[tex]LN = 12(4) +16\\LN=48+16\\LN=64\rm\; units[/tex]
Thus, the length of line segment l n on which point m lines in between is 64 units. Option 4 is the correct option.
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