Question

3) The length of JM is 9x + 6 units, the length of JK is

5x and the length of KM is 3x +12 units. Find the
Length of JM
J
K
L
M
8

Answer 1

`JM = 60 units`

Explanation:

Given:

`JM = 9x + 6`

`JK = 5x`

`KM = 3x + 12`

`JK + KM = JM` (segment addition postulate)

`(5x) + (3x + 12) = (9x + 6)` (substitution)

Solve for x

`5x + 3x + 12 = 9x + 6`

Collect like terms

`5x + 3x - 9x = -12 + 6`

`-x = -6`

Divide both sides by -1

`x = 6`

`JM = 9x + 6`

Plug in the value of x

`JM = 9(6) + 6`

`JM = 54 + 6`

`JM = 60 units`