Point K is on line segment \overline{JL} JL . Given JK=2x-2,JK=2x−2, KL=x-9,KL=x−9, and JL=2x+8,JL=2x+8, determine the numerical length of \overline{KL}. KL .
1 answer:
Answer:
KL = 10
Step-by-step explanation:
Point K is on line segment \overline{JL} JL . Given
JK=2x−2
JL=2x+8
KL=x-9
JL = JK + KL
Hence:
2x + 8 = 2x - 2 + x - 9
2x + 8 = 2x + x - 2 -9
2x + 8 = 3x - 11
Collect like terms
3x - 2x = 8 + 11
x = 19
We are to find the numerical length of KL
KL = x - 9
KL = 19 - 9
KL = 10
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