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Given JK = 9x + 14 and KL = 11x - 4, find JL. A) JL = 2x + 18 B) JL = 20x + 10 C) JL = 20x + 18 D) JL = 18x + 10

User JRicardo
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1 Answer

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Final answer:

To find the length of JL, the lengths of JK and KL are added together resulting in JL = (9x + 14) + (11x - 4), which simplifies to JL = 20x + 10. Thus, the correct answer is B) JL = 20x + 10.

Step-by-step explanation:

The student's question involves finding the length of the segment JL given that JK = 9x + 14 and KL = 11x - 4. To find the length of JL, we need to sum the lengths of JK and KL because they are consecutive segments on the same line. This gives us:

JL = JK + KL
JL = (9x + 14) + (11x - 4)
JL = 9x + 11x + 14 - 4
JL = 20x + 10

Therefore, the correct answer is B) JL = 20x + 10.

User Osy
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