SOLUTION: Please help? Point j is between H & K on HK. Use the given information to write an equation in terms of x. Solve the equation. Then find HJ JK. HJ= x/4 JK= 3x-4 KH= 22

Question 984862: Please help? Point j is between H & K on HK. Use the given information to write an equation in terms of x. Solve the equation. Then find HJ JK.
HJ= x/4
JK= 3x-4
KH= 22
Found 2 solutions by josgarithmetic, Boreal:
Answer by josgarithmetic(39620) (Show Source): You can put this solution on YOUR website!
Segment Addition axiom.

The segment KH is the same as segment HK.
Length HJ+JK is equal to length HK.

Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
KH, or HK is the whole line, it is 22.
HJ is x/4
JK is 3x-4
These last two must add to 22, since they together comprise the line.
(x/4)+(3x-4)=22
Multiply by 4 to clear fractions,
x+4(3x-4)=4(22)
Distribute
x+12x-16=88
13x=104
x=8
Check
8//4=2 That is HJ
24-4=20 That is JK
They add to 22.
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