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Ilia_Sergeevich [38]
3 years ago
5

One of the angles of a regular decagon is 144°. What is the sum of the measures of all the interior angles of this decagon?

Mathematics
2 answers:
dsp733 years ago
7 0
The answer would be c. 1440

Decagon has 10 sides. And one angle is 144. So you would multiply it by 10 and the sum of all the angles would be 1440.
alexdok [17]3 years ago
3 0

Answer: 1440

Step-by-step explanation:

Regular means all angles are equivalent. Since their are 10 sides in the decagon, the sum of the interior angles is 144 * 10.

Alternatively, the sum of the measures of the interior angles in the decagon, can also be found by  applying the formula (n-2) * 180, where n is the number of sides.

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Answer:

A

Step-by-step explanation:

We know that ∠ABE ≅ ∠DBC because they are vertical angles, so that's one pair of congruent angles. However, we can't compare ∠BAE and ∠DCB as they have different measures, so we'll have to find the measure of either ∠AEB or ∠BDC. Let's go with the former. Using the fact that the sum of the measures of the interior angles of a triangle is 180°, we know that m∠AEB=180-(53+42)=180-95=85°. Now, we know that ∠AEB ≅ ∠DCB because their measures are equal. That's another pair of congruent angles. Therefore, the angles are similar by AA. Hope this helps!

7 0
3 years ago
Application
user100 [1]

He needs to run with approximately 6429 for a distance of 9 km

<h3>How to determine the number of strides?</h3>

The given parameters are:

Length of stride = 1.4 m

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The number of strides needed is then calculated as:

Number of stride = Distance for marathon/Length of stride

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Read more about quotients at:

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2 years ago
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3 years ago
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