9514 1404 393
Answer:
KM = 4
Step-by-step explanation:
The point of the segment addition postulate is that the combined length of segments laid end-to-end is the sum of their individual lengths.*
KL +LM = KM
(5x +1) +(3x +3) = 5x +4
8x +4 = 5x +4 . . . .simplify
3x = 0 . . . . . . . . . . subtract 5x+4
x = 0 . . . . . . . . . . . divide by 3
Then the length of KM is ...
KM = 5x +4 = 5·0 +4 = 0 +4
KM = 4
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* Sometimes it seems that geometrical theorems simply state the obvious. Some interesting math arises from systems of geometry in which this is not true. We usually don't study those in high school.
