Mathematics: Given: Point K is between points H and J, HK = x − 5, KJ = 5x − 12, and HJ = 25. Find the value o

Given: Point K is between points H and J, HK = x −

wbrandi118

31.01.2022

$\huge\boxed{\sf x = 7}$

Step-by-step explanation:

According to the given statement

HJ = HK + KJ

Given that HJ = 25 , HK = x - 5 and KJ = 5x-12

$\sf 25 = x-5+5x-12$

Adding like terms

$\sf 25 = 6x-17\\Adding \ 17\ to\ both\ sides\\25 + 17 = 6x\\42 = 6x\\Dividing \ both \ sides \ by \ 6\\7 = x\\OR\\x = 7$

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johnb8223

04.04.2021

As an improper fraction it would be 28/15
as a mixed number it would be 1 13/15

i hope i helped

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