Point m lies between points l and n on line segment l n . the space between l and m is 10 x 8. the space between m and n is 5 x

Question

2 years ago

10

minus 4. if ln = 12x 16, what is the length of line segment l n in units? 16 units 40 units 48 units 64 units

1 answer:

Ivenika [448] · Answer 1 · 2023-03-19T05:46:12+03:00

The length of line segment l n on which point m lines in between is 64 units. Option 4 is the correct option.

<h3>What is the length of line segment?</h3>

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 value of line segment LN is,

$LN = 12x +16$

The sum of LM and LN is equal to the line segment LN. Thus,

$LM+MN=LN\\10x +8+(5x-4)=12x+ 16\\10x +8+5x-4=12x+ 16\\10x+5x-12x=16 -8+4\\3x=12\\x=\dfrac{12}{3}\\x=4$

Put this value of x in the equation of line segment LN,

$LN = 12(4) +16\\LN=48+16\\LN=64\rm\; units$

Thus, the length of line segment l n on which point m lines in between is 64 units. Option 4 is the correct option.

Learn more about the line segment here;