Use the diagram to the right a. What algebraic expression represents GK? b. If GK = 24. what are GH and JK? G H J K a What algebraic expression represents GK? GK (Simplify your answer Do not factor)

Step-by-step explanation:

The question lacks appropriate diagram. Find the diagram attached below;

From the diagram GK = GH+HJ+JK

Given GH = GJ-HJ

GH = 2x+2-x

GH = x+2

HJ = x

JK = HK - HJ

JK = 6x-1-x

JK = 5x-1

GK = x+2+x+5x-1

collect like terms

GK = x+x+5x+2-1

GK = 7x+1

Given GK = 24, then;

7x+1 = 24

7x = 24-1

7x= 23

x = 23/7

Since GH =  x+2

GH = 23/7 + 2

GH 23+14/7

GH = 37/7

Also JK = 5x-1

JK = 5(23/7)-1

JK = 115/7 - 1

JK = 115-7/7

JK = 108/7