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dexar [7]
3 years ago
11

3) The length of JM is 9x + 6 units, the length of JK is

Mathematics
1 answer:
Vlada [557]3 years ago
3 0

Answer:

JM = 60 units

Step-by-step explanation:

Given:

JM = 9x + 6

JK = 5x

KM = 3x + 12

JK + KM = JM (segment addition postulate)

(5x) + (3x + 12) = (9x + 6) (substitution)

Solve for x

5x + 3x + 12 = 9x + 6

Collect like terms

5x + 3x - 9x = -12 + 6

-x = -6

Divide both sides by -1

x = 6

JM = 9x + 6

Plug in the value of x

JM = 9(6) + 6

JM = 54 + 6

JM = 60 units

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