Final answer:
To find the length of MN, subtract the length of LM from the length of LN. The answer is 2x - 42.
Step-by-step explanation:
To find the length of MN, we need to subtract the length of LM from the length of LN. Given that LM = x + 32 and LN = 3x - 10, we can substitute these values into the formula.
- Plug in the value of LM: MN = (3x - 10) - (x + 32)
- Combine like terms: MN = 3x - 10 - x - 32
- Simplify: MN = 2x - 42
So, MN = 2x - 42.