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3 years ago

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?

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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Determine whether the triangles are similar. or not.

mr Goodwill [35]

Answer:

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

Distance for marathon = 9 km

The number of strides needed is then calculated as:

Number of stride = Distance for marathon/Length of stride

Substitute the known values in the above equation

Number of stride = 9km/1.4m

Convert km to m

Number of stride = 9000m/1.4m

Evaluate the quotient

Number of stride = 6428.57143

Approximate the estimate

Number of stride = 6429

Hence, he needs to run with approximately 6429 for a distance of 9 km

Read more about quotients at:

brainly.com/question/8952483

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2 years ago

In decimal form, to the nearest tenth, what is the probability that a randomly selected Riverside High School student is in twel

Lunna [17]

We have that the total students there are 500. The 12-graders there are 200. Probability is defined as the ratio of positive outcomes of an event, over all the possible outcomes. Suppose we pick student randomly. Then, there are 200 positive outcomes (positive outcome: we pick a student in 12th grade) and there are totally 500 outcomes (we can pick 500 students in total from Riverside High School). This ratio gives: $P= \frac{200}{500} =0.4$ . The requested probability is 0.40

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3 years ago

Read 2 more answers

Write result in standard notation

levacccp [35]

Answer:

7.5 * 10 ^- 4

Step-by-step explanation:

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3 years ago

What type of triangle is shown in the image?

kondaur [170]

Answer:

Acute Isosceles triangle.

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3 years ago