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yawa3891 [41]
3 years ago
12

If K is the midpoint of JL, JK = 8x+11 and KL = 14x-1, find JL.

Mathematics
2 answers:
gladu [14]3 years ago
7 0

Step-by-step explanation:

Since, K is the midpoint of JL.

\therefore \: JK = KL \\ 8x + 11 = 14x - 1 \\ 11 + 1 = 14x - 8x \\ 12 = 6x \\  \frac{12}{6}  = x \\ 2 = x \\  \\  \because \: JL = JK + KL \\   \therefore \: JL = 8x + 11 + 14x - 1 \\ \therefore \: JL = 8x + 14x + 11 - 1 \\ \therefore \: JL = 22x + 10\\  \therefore \: JL = 22 \times 2 + 10..(plug \: x = 2) \\  \therefore \:JL = 44 + 10 \\  \huge \red{ \boxed{\therefore \:JL = 54}}

harkovskaia [24]3 years ago
6 0

Answer:

JL=54

Step-by-step explanation:

done the topic

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