Question

Point M lies between points L and N on .

If LN = 12x + 16, what is the length of in units?

16 units
40 units
48 units
64 units

Answer 1

LN=64 units

Explanation:

step 1

Find the value of x

we know that

LN=LM+MN -----> equation A

see the attached figure to better understand the problem

we have

LN=12x+16

LM=10x+8

MN=5x-4

substitute the values in the equation A

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

Solve for x

12x+16=15x+4

15x-12x=16-4

3x=12

x=4

step 2

Find the value of LN

LN=12x+16

LN=12(4)+16=64 units