Point K is on line segment \overline{JL}
JL
. Given KL=2x-2,KL=2x−2, JL=4x+9,JL=4x+9, and JK=5x+2,JK=5x+2, determine the numerical length of \overline{JL}.
JL
.

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Lanuel

Based on the calculations, the numerical length of JL is equal to 21 units.

What is a point?

A point can be defined as a zero dimensional geometric object and it is generally represented by a dot.

What is a line segment?

A line segment can be defined as the part of a line in a geometric figure such as a triangle, circle, quadrilateral, etc., that is bounded by two (2) distinct points and it typically has a fixed length.

Given the following data:

KL = 2x - 2

JL = 4x + 9

JK = 5x + 2

Since point K lies on line segment JL, we can infer and logically deduce that line JL is given by:

JL = KL + JK

Substituting the given parameters into the formula, we have;

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

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

9 = 3x

x = 9/3

x = 3.

Now, we can determine the numerical length of JL as follows:

JL = 4x + 9

JL = 4(3) + 9

JL = 12 + 9

JL = 21 units.

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