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insens350 [35]
2 years ago
5

A particular convex pentagon has two congruent, acute angles. The measure of each of the other interior angles is equal to the s

um of the measures of the two acute angles. What is the common measure of the large angles, in degrees?
Mathematics
1 answer:
NNADVOKAT [17]2 years ago
6 0

1. First, you must apply the formula for calculate the sum of the interior angles of a regular polygon, which is shown below:


 (n-2) × 180°


 "n" is the number of sides of the polygon (n=5).


 2. Then, the sum of the interior angles of the pentagon, is:


 (5-2)x180°=540°


 3. The problem says that the measure of each of the other interior angles is equal to the sum of the measures of the two acute angles and now you know that the sum of all the angles is 540°, then, you have:


 α+α+2α+2α+2α=540°

 8α=540°

 α=540°/8

 α=67.5°


 4. Finally, the larger angle is:


 2α=2(67.5°)=135°


 5. Therefore, the answer is: 135°

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Answer:

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Step-by-step explanation:

1. Let's review the information provided to us to answer the question correctly:

Number of letters of the word "millennium" = 10

Letters repeated:

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2. The number of different ways that the letters of millennium can be arranged is:

We will use the n! or factorial formula, this way:

10!/2! * 2! * 2! * 2!

(10 * 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1)/(2 * 1) * (2 * 1) * (2 * 1) * (2 *1)

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<u>The correct answer is that the number of different ways that the letters of the word "millennium" can be arranged is 226,800</u>

7 0
1 year ago
A company purchased a delivery van for $28,000 with a salvage value of $3,000 on September 1, Year 1. It has an estimated useful
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Answer:

Depreciation till December 31, Year 1 will be equal to 1,250$

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Total Depreciation over a single month =25,000/60

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D a theorem needs to be proven
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Answer:

In order to make 45 brownies, Abel needs 25 cups of flour, 20 cups of sugar, 10 cups of cocoa powder and 5 eggs.

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Answer:

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