5a-15+9a=3a+29
We simplify the equation to the form, which is simple to understand
5a-15+9a=3a+29
We move all terms containing a to the left and all other terms to the right.
+5a+9a-3a=+29+15
We simplify left and right side of the equation.
+11a=+44
We divide both sides of the equation by 11 to get a.
a=4
(√3 - <em>i </em>) / (√3 + <em>i</em> ) × (√3 - <em>i</em> ) / (√3 - <em>i</em> ) = (√3 - <em>i</em> )² / ((√3)² - <em>i</em> ²)
… = ((√3)² - 2√3 <em>i</em> + <em>i</em> ²) / (3 - <em>i</em> ²)
… = (3 - 2√3 <em>i</em> - 1) / (3 - (-1))
… = (2 - 2√3 <em>i</em> ) / 4
… = 1/2 - √3/2 <em>i</em>
… = √((1/2)² + (-√3/2)²) exp(<em>i</em> arctan((-√3/2)/(1/2))
… = exp(<em>i</em> arctan(-√3))
… = exp(-<em>i</em> arctan(√3))
… = exp(-<em>iπ</em>/3)
By DeMoivre's theorem,
[(√3 - <em>i </em>) / (√3 + <em>i</em> )]⁶ = exp(-6<em>iπ</em>/3) = exp(-2<em>iπ</em>) = 1
<h3>
Answer: B) Linear pair postulate</h3>
Explanation:
As the name implies, "linear pair" means the two angles combine to form a straight line of 180 degrees. Think of gluing the angles together.
As an example, let's say angle 1 was 50 degrees and angle 4 is 130 degrees. They combine to 50+130 = 180 which is a straight angle. I recommend using a protractor to help draw these angles.
Answer: 5 Vertices
Step-by-step explanation: I believe if it had 4 faces and 8 edges it would have 5 vertices.
Answer:
-1/6 x (4a - 5)
Step-by-step explanation:
-2/3a + 5/6
Factor the expression.
