2 years ago

I need help with this question

Mathematics

1 answer:

alukav5142 [94]2 years ago

7 0

Union = {1,3,4,5,6,7}
Intersection = {5,6}

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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

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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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2 years ago