Answer :

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Given that K is the midpoint on segment JL, the numerical value of segment JL is 54.

What is the numerical value of segment JL?

A midpoint is simply a point that divides a segment into two equal halves.

Given the data in the question;

  • K is the midpoint on segment JL
  • Segment JK = 8x + 11
  • Segment KL= 14x - 1
  • Numerical value of segment JL = ?

Given that K is the midpoint on segment JL, this means segment JK is divided into two equal halves, Segment JK is equal to Segment KL.

Segment JK = Segment KL

8x + 11 = 14x - 1

Collect like terms

8x - 14x = -1 - 11

-6x = -12

x = -12/-6

x = 2

Hence, the numerical values of Segment JK and Segment KL will be;

Segment JK = 8x + 11 = 8(2) + 11 = 16 + 11 = 27

Segment KL = 14x - 1 = 14(2) - 1 = 28 - 1 = 27

Since Segment JK and Segment KL makes up segment JL, the numerical  value of Segment JL is the sum of Segment JK and Segment KL.

Segment JL = 27 + 27 = 54

Given that K is the midpoint on segment JL, the numerical value of segment JL is 54.

Learn more about midpoint here: https://brainly.com/question/4747771

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