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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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The sum of three consecutive even integers is 54. Find all three integers.
matrenka [14]
A good way to find the answer to these questions is to find it algebraically. Let's call the first number 'n'. 
n + (n + 2) + (n + 4) = 54
3n + 6 = 54
3n = 48
n = 16
Therefore the numbers are 16, 18, 20

6 0
3 years ago
X+8 is atleast 18 solving one step inequalities by adding and. Subtracting
Mamont248 [21]
X + 8 >= 18

(>= means greater than or equal to)

x + 8 - 8 >= 18 - 8
x >= 10
7 0
3 years ago
Write an expression the represents the statement "Add 9 and 3, then multiply by 6"
ELEN [110]

Answer:

6(9+3)

Explanation:

Add 9 and 3 which is 9 + 3

THEN multiply by 6 which is 6(9 + 3)

I put parentheses because it's sayings to add first and then multiply!

3 0
2 years ago
The ancient Greeks could bisect an angle using only a compass and straightedge.A. TrueB. False
Gala2k [10]

Answer: True.

The ancient Greeks could bisect an angle using only a compass and straightedge.

Step-by-step explanation:

The ancient Greek mathematician <em>Euclid</em> who is known as inventor of geometry.

The Greeks could not do arithmetic. They had only whole numbers. They do not have zero and negative numbers.

Thus, Euclid and the another Greeks had the problem of finding the position of an angle bisector.

This lead to the constructions using compass and straightedge. Therefore, the straightedge has no markings. It is definitely not a graduated-rule.

As a substitute for using arithmetic, Euclid and the Greeks learnt to solve the problems graphically by drawing shapes .

5 0
4 years ago
Read 2 more answers
770 is 70% of what number?
Andreyy89

Answer:If you are using a calculator, simply enter 770×100÷70, which will give you the answer.

Step-by-step explanation:

3 0
3 years ago
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