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12345 [234]
3 years ago
11

Angle ABC is inscribed in circle O. Points A, B, and C all lie on the circle, and B is the vertex of angle ABC. Angle ABC measur

es 47°. What is the measure of angle AOC? Explain your reasoning in complete sentences.
Mathematics
1 answer:
viktelen [127]3 years ago
7 0

Answer:

94 degrees

Step-by-step explanation:

Basically the question is asking to find the angle of the arc AC created by the inscribed angle ABC.

The angle of the arc of an inscribed angle is twice the value of the angle creating it.

Because the distance from the opposite side of the circle is twice longer  than coming from the center to create the same arc.

So, an inscribed angle of 47 degrees will create a 94 degrees arc on the circle circumference.

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Graph h(x)=0.5(x+2)^2 -4 by following these steps:
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The graph should have points plotted at (-6, 4), (-4, -2), (-2, -4), (0, -2), and (2, 4)

Step-by-step explanation: The answers were already there, just here to repeat for others who are confused.

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Solve the following quadratic by factoring.
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Answer:

4, -1

Step-by-step explanation:

We can reverse the FOIL (First, outside, inside, last) method to break down the equation. The question is asking to solve by factoring so you want to find the right combination of numbers this equation can be broken down into:

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Because we want x squared, x needs to be multiplied by itself, so we can put x in the first slot for each.

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Then we need to find numbers that could be added to get -3 and multiplied to get -4. The only set of numbers that works for this is -4 and 1. Note that the sign you put in front of each number has an impact on your answers. With this we get:

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To test that this is equal to the original equation, simply multiply it out using FOIL.

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Putting each component into an equation:

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x^2 - 3x - 4 = 0

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