Question

Find the value of the variable and GH if H is between G and I. GI=5b+1, HI=4b-5, HI=7

Answer 1

The value of the variable 'b' is 3 and GH is 9

Explanation:

Given:

`GI = 5b+1\\\\HI=4b-5\\ \\HI=7`

H is between G and I

Such that G - H - I

To Find:

GH = ?

Solution:

On Substituting HI we get

`4b-5=7\\\\\therefore 4b=7+5=12\\\\b=(12)/(4)=3`

Substituting 'b' in HI and GI we get

`HI=4* 3 -5=12-5=7\\\\\therefore HI = 7`

`GI=5* 3 +1=15+1=16\\\\\therefore GI = 16`

Now, by Line Addition Property we get

`GI=GH+HI`

Substituting 'HI' and 'GI' we get

`16=GH+7\\\\\therefore GH=16-7=9`

The value of the variable 'b' is 3 and GH is 9