If JK = 20, KL = x + 9, and JL = 6x + 9, what is KL?

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27-05-2022
Mathematics

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If JK = 20, KL = x + 9, and JL = 6x + 9, what is KL?

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jdoe0001 jdoe0001 · Answer 1 · 2022-05-27T00:32:29+02:00

jdoe0001 jdoe0001

27-05-2022

[tex]\underset{\leftarrow ~~ 6x+9 ~~ \to }{J\stackrel{20}{\rule[0.35em]{15em}{0.25pt}} K\stackrel{x + 9}{\rule[0.35em]{10em}{0.25pt}} L} \\\\\\ \stackrel{JL}{6x+9}~~ = ~~\stackrel{JK}{20}+(\stackrel{KL}{x+9})\implies 6x+9=29+x\implies 5x+9=29 \\\\\\ 5x=20\implies x=\cfrac{20}{5}\implies x=4\hspace{5em}\boxed{\underset{KL}{\stackrel{(4)~~ + ~~9}{13}}}[/tex]

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