HJ=X/4, JK=3x-4, KH= 22, Solve the equation. Then find HJ and JK.

Question

Point J is between H and K on HK. Use the given information to write an equation in terms of x. Solve the equation. Then find HJ and JK.

Answer 1

HJK is a straight line, wth J somewher between H and K and the length of HK = 22.

H     <--- (X/4) --->   J        <--- (3X - 4) --->             K

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Since we know that HK = 22, then we can write,

HK = HJ + JK

22 = X/4 + (3X - 4)          (multiply both sides by 4)

88 = X + 12X - 16           (rearrange the expression)

13X = 104

X = 8

 

Answer 2

HJ+JK=HK; x/4+3x-4=22; x+12x-16=88; 13x=104, x=8.

HJ=2, JK=20.