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geniusboy [140]
2 years ago
15

Point K is on line segment JL. Given KL = 2x – 2, JL = 4x + 9, and

Mathematics
1 answer:
sergeinik [125]2 years ago
7 0

Answer:

JL = 21

Step-by-step explanation:

Given that K is on line segment JL, therefore:

KL + JK = JL (according to segment addition postulate)

KL = 2x - 2

JK = 5x + 2

JL = 4x + 9

Thus:

(2x - 2) + (5x + 2) = (4x + 9)

Solve for x

2x - 2 + 5x + 2 = 4x + 9

2x +5x - 2 + 2 = 4x + 9

7x = 4x + 9

Subtract 4x from both sides

7x - 4x = 4x + 9 - 4x

3x = 9

Divide both sides by 3

\frac{3x}{3} = \frac{9}{3}

x = 3

Find the numerical length of JL

JL = 4x + 9

Plug in the value of x

JL = 4(3) + 9 = 12 + 9 = 21

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