2 years ago

Help help help quick

Mathematics

2 answers:

eduard2 years ago

8 0

4-5 and 3-6 are alternate interior angles

noname [10]2 years ago

6 0

The interior angle are the angles “inside” , basically 3,4,5,6.

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

MakcuM [25]

$\sf Hello!$

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

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

$\sf Then,$

$\sf AB + BC = AC$

⇒ $\sf x + 6 + 3x - 5 = 36 - x$

⇒ $\sf x + 3x + 6 - 5 = 36 - x$

⇒ $\sf 4x + 1 = 36 - x$

⇒ $\sf 4x + x = 36 - 1$

⇒ $\sf 5x = 35$

⇒ $\sf x = \dfrac{\sf 35}{\sf 5}$

⇒ $\boxed{\sf x = 7}$

$\sf Hence,$

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

~ $\sf iCarl$