Question

1. Given GH = 7x + 3, HI= 3x - 5,

and GI= 9x + 5.
H
G
A. Find x:
B. Find GH:

Answer 1

`\boxed{\bf x=7}`

`\boxed{\bf GH= 52}`

Explanation:

In the line segment..

`\bf 7x+3+3x-5=9x+5`

Combine like terms.

• 
  `\bf 10x-2=9x+5`

Add -2 to both sides.

• 
  `\bf 10x-2+2=9x+5+2`

• 
  `\bf 10x=9x+7`

Subtract 9x from both sides.

• 
  `\bf 10x-9x=9x+7-9x`

• 
  `\boxed{\bf x=7}`

`\bf GH=7x+3`

• 
  `\bf 7(7)+3`

• 
  `\bf 49+3`

• 
  `\boxed{\bf 52}`

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