Question

Find the value of x if a,b, and c are collinear points an b is between a and c

AB=x+6, BC = 3x-5, AC = 36-x

Answers:
A) 6
B) 14
C) 12
D) 7

Answer 1

`\sf Hello!`

•
`\sf AB = x + 6`
•
`\sf BC = 3x - 5`
•
`\sf AC = 36 - x`


`\sf We're \:given\: that \:A,\: B\: and \:C \:are \:Collinear\: points`


`\sf Then,`


`\sf AB + BC = AC`

⇒
`\sf x + 6 + 3x - 5 = 36 - x`

⇒
`\sf x + 3x + 6 - 5 = 36 - x`

⇒
`\sf 4x + 1 = 36 - x`

⇒
`\sf 4x + x = 36 - 1`

⇒
`\sf 5x = 35`

⇒
`\sf x = (\sf 35)/(\sf 5)`

⇒
`\boxed{\sf x = 7}`


`\sf Hence,`


`\sf The\: value\: of\: x\: is\: D.\: 7`

~
`\sf iCarl`