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Sphinxa [80]
3 years ago
11

Point M lies between points L and N on Line segment L N .

Mathematics
2 answers:
ANTONII [103]3 years ago
5 0

Answer:

64 units

Step-by-step explanation:

Given:

Point M lies between points L and N on Line segment LN.

Length of segment LM is given as =10x+8

Length of segment MN is given as =5x-4

Length of segment LN is given as =12x+16

From the information given we can conclude that the points L,M and N ar co-linear and

LM+MN=LN     [ Segment addition postulate as M lies in between L and N]

Substituting the values given to find x.

10x+8+5x-4=12x+16

Combining like terms.

15x+4=12x+16

Subtracting both sides by 12x

15x+4-12x=12x+16-12x

3x+4=16

Subtracting both sides by 4.

3x+4-4=16-4

3x=12

Dividing both sides by 3.

\frac{3x}{3}=\frac{12}{3}

∴ x=4

Length of segment LN can be found out by substituting x=4 in the expression for segment.

⇒ 12(4)+16

⇒ 48+16

⇒ 64

Length of segment LN = 64 units (Answer)

JulsSmile [24]3 years ago
3 0

Answer:

64

Step-by-step explanation:

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