Question

Then find MN.

LM = 5

MN = x - 4

LN = 2x– 11

equation:

MN =

Answer 1

`MN = 8`

Explanation:

Given

`LM = 5\\MN = x - 4\\LN = 2x - 11`

Required

Determine MN

MN is calculated as thus:

`LN = LM + MN`

Make MN the subject

`MN = LN - LM`

Substitute values for MN, LN and LM

`x - 4 = 2x - 11 - 5`

`x - 4 = 2x - 16`

Collect Like Terms

`x - 2x = -16 +4`

`-x = -12`

`x= 12`

Substitute 12 for x
`MN = x - 4`

`MN = 12 - 4`

`MN = 8`