Angle ABC measures 140°. Angle DBC bisects ∠ABC. Angle EBC bisects ∠DBC. What is the measure of ∠EBC?
1 answer:
Answer:
An angle bisector divides the angle measure into two equal parts. In triangle ABC, B is the point at which the angle lies.
Step-by-step explanation:
Picture segment BD drawn from point B of tri.ABC where it connects to segment AC, creating point D. Now picture E drawn on the newly created segment DC where it connects to point B and down to point C. Here's a drawing to better show this:
It's bisecting the bisected angle ABC. So, 140/2 = 70, and 70/2 = 35.
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Answer:
A
Step-by-step explanation:
We can write this as Sinx by "flipping" the .
So we will have:
From basic trigonometry, we know the value of of sine is of the angle
<em>But when is sine negative? </em>Either in 3rd or 4th quadrant. But the answer has to be between 0 and , <em>so we disregard 4th quadrant.</em>
<em />
<em>To get the angle in 3rd quadrant, we add π to the acute angle of the first quadrant (which is π/4 in our case).</em><u><em> Thus we have:</em></u>
A is the right answer.
The quotient of a trinomial and monomial can be 9x² +2x + 1 while the product of the polynomials x² + 2x + 1 and 3x² - 1 is 3x⁴ + 6x³ + 2x² - 2x - 1
<h3>The quotient of a trinomial and monomial</h3>Let the variable be x.
Trinomial are polynomials that have three terms, while monomials have a single term.
Using the above definition, we have:
Trinomial = 9x³ + 2x² + x
Monomial = x
The quotient of the above is represented as:
Evaluate the quotient
9x² +2x + 1
<h3>The product or quotient of polynomials</h3>To do this, we make use of the following polynomials:
x² + 2x + 1 and 3x² - 1
The product is represented as:
(x² + 2x + 1) * (3x² - 1)
Expand
3x⁴ - x² + 6x³ - 2x + 3x² - 1
Evaluate the like terms
3x⁴ + 6x³ + 2x² - 2x - 1
Hence, the product of the polynomials x² + 2x + 1 and 3x² - 1 is 3x⁴ + 6x³ + 2x² - 2x - 1
Read more about polynomials at:
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