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18-09-2018
Mathematics

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given: K is between H and J, HK=2x-5, KJ=3x+4, and HJ=24. what is the value of x?

given K is between H and J HK2x5 KJ3x4 and HJ24 what is the value of x class=

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jdoe0001 jdoe0001

18-09-2018

[tex]\bf \boxed{H}\underset{\leftarrow 24\to\qquad \qquad }{\stackrel{2x-5}{\rule[0.35em]{10em}{0.25pt}}K\stackrel{3x+4}{\rule[0.35em]{15.5em}{0.25pt}}\boxed{J}} \\\\\\ \stackrel{HJ}{24}=\stackrel{HK}{(2x-5)}+\stackrel{KJ}{(3x+4)}\implies 24=5x-1\implies 25=5x \\\\\\ \cfrac{25}{5}=x\implies 5=x[/tex]

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