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solmaris [256]
3 years ago
13

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

Mathematics
1 answer:
MakcuM [25]3 years ago
3 0
\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 = \dfrac{\sf 35}{\sf 5}

⇒ \boxed{\sf x = 7}

\sf Hence,

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

~ \sf iCarl
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