suppose m is b/t L and N. LM=4x+8, MN=9x-4, LN=82. what is x?
To find the value of x, you can use the fact that the sum of the lengths of two segments should be equal to the length of the whole line segment. In this case, you have LM = 4x + 8, MN = 9x - 4, and LN = 82.
Using the fact that LN = LM + MN, we can set up an equation:
LM + MN = LN
Substituting the given values:
(4x + 8) + (9x - 4) = 82
Simplifying the equation:
13x + 4 = 82
Subtracting 4 from both sides:
13x = 78
Dividing both sides by 13:
x = 6
Therefore, x is equal to 6.