Question

Find the value of the variable and GH if H is between G and I.
GI = 5b + 2, HI = 4b – 5, HI = 3

Answer 1

Answer:

Part 1) b=2

Part 2) GH=9 units

Step-by-step explanation:

we know that

If H is between G and I

then

$GI=GH+HI$ -----> by addition segment postulate

Solve for GH

$GH=GI-HI$ -----> equation A

step 1

Find out the value of b

we have

$HI=4b-5\\HI=3$

equate the equations

$4b-5=3$

solve for b

adds 5 both sides

$4b=8$

Divide by 4 both sides

$b=2$

step 2

Find out the value of GH

$GH=GI-HI$

substitute the values

$GH=5b+2-3$

$GH=5b-1$

substitute the value of b

$GH=5(2)-1=9\ units$