# Point K is on line segment ‾JL. Given JK = 2x - 2, KL = x - 9, and JL = 2x + 8, determine the numerical length of ‾KL.

Question
Analytic geometry

Point K is on line segment $$\overline{JL}$$. Given $$JK = 2x - 2, KL = x - 9,\ and\ JL = 2x + 8,$$ determine the numerical length of $$\overline{KL}$$.

2021-02-02

$$JL=JK+KL$$
Substitute given expressions:
$$2x+8=(2x−2)+(x−9)$$
Solve for x:
$$2x+8=3x−11$$
$$−x+8=−11$$
$$−x=−19$$
$$x=19$$
Hence,
$$KL=19−9$$
$$KL=10$$

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