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.