Question

Point M is between points Land Non N. LN = 6x. LM 4x . , and MN - 27. How would you set up the equation to solve for "×"?Then solve for"×".​

Answer 1

`4x + 8 + 27 = 6x`,
`x = 17.5`

Explanation:

LM = 4x + 8

MN = 27

LN = 6x

Points L, M, and N are collinear, therefore,

`LM + MN = LN` (segment addition postulate)

Thus, the equation that would be set up to solve for x would be:

`4x + 8 + 27 = 6x` (substitution)

Solve for x as follows:

`4x + 35 = 6x`

Subtract 4x from both sides

`4x + 35 - 4x = 6x - 4x`

`35 = 2x`

Divide both sides by 2

`(35)/(2) = (2x)/(2)`

`17.5 = x`

`x = 17.5`