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Jet001 [13]
2 years ago
10

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

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
Mathematics
1 answer:
Ivenika [448]2 years ago
7 0

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 space between l and m is 10x 8.
  • The space between m and n is 5x -4.

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;

brainly.com/question/2437195

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