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3 years ago

The measure of an exterior angle of a regular octagon is x + 10. Find x.

Mathematics

1 answer:

elena-s [515]3 years ago

3 0

Answer:

x = 35

Step-by-step explanation:

The sum of the exterior angles of a polygon = 360°

Then

1 exterior angle = 360° ÷ 8 = 45° , so

x + 10 = 45 ( subtract 10 from both sides )

x = 35

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3 years ago

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Answer:

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Step-by-step explanation:

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3 years ago

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3 years ago

A rectangle has a height of c^3+6c^2+2c and a width of c^2+1

Basile [38]

Answer:

$A = c^5+6c^4+3c^3+6c^2+2c$

Step-by-step explanation:

The dimensions of a rectangle are length and breadth/width

Here we are given height . Assuming it to be one of the side of the rectangle , we will do the further calculation

Hence one side is

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And the other side is

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The area of rectangle = side 1 x side 2

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Distributing parenthesis

$=c^2c^3+c^2\cdot \:6c^2+c^2\cdot \:2c+1\cdot \:c^3+1\cdot \:6c^2+1\cdot \:2c$

$=c^3c^2+6c^2c^2+2c^2c+1\cdot \:c^3+1\cdot \:6c^2+1\cdot \:2c$

$=c^5+6c^4+2c^3+c^3+6c^2+2c$

adding similar terms

$c^5+6c^4+3c^3+6c^2+2c$

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3 years ago

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3 years ago