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WARRIOR [948]
3 years ago
9

Which of the following is the measure of one of the central angles of a regular octagon?

Mathematics
2 answers:
Lena [83]3 years ago
5 0

General Idea:

The measure of one of the central angles of a regular Polygon (\theta) can be used using the below formula:

\theta=  \frac{360^{\circ}}{n}    \\\\Where: \\\; n\; is\; number\; of\; sides\; of\; regular\; polygon

Applying the concept:

The measure of one of the central angles of a regular octagon.

The octagon have 8 sides, using the above formula we get...

\theta= \frac{360}{n} \\\\\theta = \frac{360}{8} = 45^{\circ}

Conclusion:

The correct option is <em><u>A) 45 degrees</u></em>

vekshin13 years ago
5 0
A. 45 degrees. Smsmsnsmms
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I need help with this question, not really understanding
Jlenok [28]

The measure of angle D in the inscribed triangle is as follows;

∠D = 63 degrees

<h3>How to solve circle theorem?</h3>

The circle theorem can be use to find the ∠D as follows;

The triangle BCD is inscribed in the circle.

Using circle theorem,

The angle of each triangle is double the angle of the arc it create.

Therefore,

arc BC = m∠D

m∠B = 134 / 2 = 67 degrees.

Therefore, using sum of angles in a triangle.

67 + 50 + m∠D = 180

m∠D = 180 - 50 - 67

m∠D = 63 degrees.

learn more on circle theorem here: brainly.com/question/19906313

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3 years ago
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Use p = 2 and p = 8 to determine if the two expressions are equivalent. 4(2 + p) 14 + p Complete the statements.
Maru [420]

Answer:

The expressions are not equivalent.

Step-by-step explanation:

Here we have two expressions:

4*(2 + p)

14 + p

We want to evaluate these two expressions in two different values of p to check if the expressions are equivalent or not.

First, we evaluate both of them in p = 2, this is just replace p by 2 in each expression and then solve it.

4*(2 + 2) = 4*4 = 16

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In this case, we can see that both expressions yield the same number, so we could think that the expressions are equivalent, now let's try with other value of p.

Now let's do it with p = 8

4*(2 + 8) = 4*10 = 40

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Now we can see that the results are different, then we can conclude that the expressions are not equivalent.

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3 years ago
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tresset_1 [31]

Answer:

Step-by-step explanation:

Angles 1, 2, and 3 are supplementary (they add up to equal 180). If angles 1 and 3 are 20 each, then their sum in 40, making angle 2

180 - 40 = 140. If this central angle is 140 degrees, then the measure of the arc that it cuts off also measures 140 degrees. This is not to be confused with the arc length, which is not even remotely the same thing!

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