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Blizzard [7]
3 years ago
10

To the nearest degree, what is the measure of each exterior angle of a regular octagon? O A. 45° O B. 30° O C. 51o O D. 60°

Mathematics
2 answers:
LekaFEV [45]3 years ago
7 0

Answer:

The measure of each exterior angle of a regular octagon is A. 45°

Step-by-step explanation:

To find the solution to the problem above, we will follow the steps below;

To find the exterior angle of a regular polygon we can simply divide 360 by the number of sides of that polygon or we can simply use the formula below

Each Exterior angle = 360/n

where n is the number of sides

an octagon is an eight-sided polygon. This implies that the number of side =8

Each Exterior angle = 360/n

                                  =360/8

                                  =45°

The measure of each exterior angle of a regular octagon is 45°

riadik2000 [5.3K]3 years ago
3 0

Because an octagon consists of eigth sides/edges, and 360 degrees is the total sum of the angles, we simply divide 360 by 8:

360/8 = 45.

Option A, 45 degrees

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Write 2^8 * 8^2 * 4^-4 in the form 2^n
Eva8 [605]

The given expression 2^8 * 8^2 * 4^-4 can be written in the exponential form 2^n as 2^6.

<h3>What are exponential forms?</h3>

The exponential form is a more convenient way to write repetitive multiplication of the same integer by using the base and its exponents.

<u>For example:</u>

If we have a*a*a*a, it can be written in exponential form as:

=a^4

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  • a is the base, and
  • 4 is the power.

The power in this format reflects the number of times we multiply the base by itself. The exponent is also known as the index or power. 

From the information given:

We can write 2^8 * 8^2 * 4^-4 in form of 2^n as follows:

\mathbf{= 2^8\times (2^3)^2 \times (2^2)^{-4} }

\mathbf{= 2^8\times (2^6) \times (2^{-8}) }

\mathbf{= 2^{8+6+(-8)}}

\mathbf{= 2^{6}}

Therefore, we can conclude that by using the exponential form, the given expression 2^8 * 8^2 * 4^-4 in the form 2^n is 2^6.

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brainly.com/question/8844911

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