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Alexxandr [17]
3 years ago
14

Point L is on line segment KM. Given LM = 3x + 3,

Mathematics
1 answer:
iris [78.8K]3 years ago
7 0

Answer:

KM = 4

Step-by-step explanation:

LM = 3x + 3

KM = 5x + 4

KL = 5x + 1

KL + LM = KM (segment addition postulate)

(5x + 1) + (3x + 3) = 5x + 4 (substitution)

Solve for x

5x + 1 + 3x + 3 = 5x + 4

Combine like terms

8x + 4 = 5x + 4

8x + 4 - 4 = 5x + 4 - 4

8x = 5x + 0

8x - 5x = 0

3x = 0

x = 0

KM = 5x + 4

Plug in the value of x

KM = 5(0) + 4

KM = 0 + 4 = 4

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