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Learn with an example $\newline$ $\checkmark$ $\newline$ or Watch a video (D) $\newline$ The diagram shows a convex polygon. $\newline$ What is the sum of the exterior angle measures, one at each vertex, of this polygon? $\circ$ $\newline$ Submit

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Solve trigonometric equations II

Full solution

Q. Learn with an example

\newline

\checkmark

\newline

or Watch a video (D)

\newline

The diagram shows a convex polygon.

\newline

What is the sum of the exterior angle measures, one at each vertex, of this polygon?

\circ

\newline

Submit

Exterior angles sum $360$ degrees: The sum of the exterior angles of any polygon, convex or not, is always $360$ degrees. This is because each exterior angle forms a linear pair with an interior angle, and the sum of the angles in a linear pair is $180$ degrees. Since the interior angles of a polygon add up to $(n-2)\times180$ degrees, where $n$ is the number of sides, and each interior angle pairs with an exterior angle to make a straight line, the exterior angles must add up to $360$ degrees to maintain that each pair sums to $180$ degrees.

More problems from Solve trigonometric equations II

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Marco's class is painting a mural on the side of their school. The mural covers a

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\newline

What is the length of the mural?

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Question

A cup of hot coffee has been left to cool in a room with an ambient temperature of

21^{\circ} \mathrm{C}

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The relationship between the elapsed time,

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Round your answer, if necessary, to the nearest hundredth.

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Takumi plants a tree in his backyard and studies how the number of branches grows over time.

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N=5 \cdot 10^{0.3 t}

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Question

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Can we use the mean value theorem to say the equation

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\newline

1

\newline

(A) No, since the function is not differentiable on that interval.

\newline

(B) No, since the average rate of change of

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(C) Yes, both conditions for using the mean value theorem have been met.

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