Question

What algebraic expression represents GK?

Answer 1

Answer:

Part a) GK=(7x+1)

Part b) GH=5 units and JK=8 units

Step-by-step explanation:

Part a) what algebraic expression represents GK?

we know that

GK=GH+HJ+JK

step 1

Find GH

we have

GH=GJ-HJ

substitute the given values

GH=(2x+3)-x=x+3

step 2

Find JK

JK=HK-HJ

substitute the given values

JK=(6x-2)-x=5x-2

step 3

Find GK

GK=GH+HJ+JK

we have

GH=x+3

HJ=x

JK=5x-2

substitute

GK=(x+3)+x+(5x-2)

GK=(7x+1)

Part b) If GK=15, what are GH and JK?

we know that

GK=(7x+1)

For GK=15

substitute the value of GK and solve for x

15=(7x+1)

7x=15-1

7x=14

x=2

Find the value of GH

GH=x+3

substitute the value of x

GH=2+3=5 units

Find the value of JK

JK=5x-2

substitute the value of x

JK=5(2)-2=8 units