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Tatiana [17]
2 years ago
14

Find the measure of an interior angle and exterior angle of a regular 24gon

Mathematics
1 answer:
Julli [10]2 years ago
8 0

Answer:

Interior Angle: 165°

Exterior Angle: 15°

Step-by-step explanation:

So first you have to find the sum of all interior angles of a polygon with <u>24 sides</u>. This can be found using the formula:

sum = ( <em>n</em> - 2 ) * 180°     where '<em>n</em>' is the number of sides.

When '<em>n</em> = 24' then the sum is:

sum = ( 24 - 2 ) * 180°

Simplify and solve.

sum = 22 * 180°

sum = 3960°

Since there are 24 sides to the polygon, there are 24 interior angles. <u>Assuming that this polygon is equilateral</u>, you can surmise that:

<em>Interior Angle</em> = sum° / <em>n</em>   where n is the number of sides,

3960° / 24 = 165° = Interior Angle

Using that information, and combine it with the [Supplementary Angles Theorem] the exterior angle can be found by:

165° + x = 180°

Solve for x.

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3 years ago
In the year 2015 Emily was three times as old asKaitlin. By the year 2021 Kaitlin will be half asold as Emily will be. How old w
weeeeeb [17]

In 2000 Emily was 9 years old.

Given that in the year 2015 Emily was three times as old as Kaitlin while by the year 2021 Kaitlin will be half as old as Emily will be, to determine how old was Emily on the year 2000 the following calculation must be performed:

  • 2015 = E = 3K
  • 2021 = E = 2K  
  • 24 /// 8 --- 30 /// 14
  • 18 /// 6 --- 24 /// 12
  • 18/6 = 3
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Therefore, in 2000 Emily was 9 years old.

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2 years ago
Can someone please help me please I really need help please answer it correctly
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Answer:

<h3>Princeton Florist</h3>

Let the total charge is y, the number of small arrangements is x.

<u>Total charge will be:</u>

  • y = 13x + 47
<h3>Chad's Flowers</h3>

<u>Total charge will be:</u>

  • y = 17x + 35

<u>Since the total charge is same in both shops, we have:</u>

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<u>Solve for x:</u>

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<u>Total cost is:</u>

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<u>Small arrangements</u> = 3, <u>cost </u>= $86

7 0
2 years ago
Santino bought a book for $23.54. The price of the book was $22. What was the sales-tax rate?
Vika [28.1K]

We first find value of tax in dollars.

The difference between the two prices  is: 23. 54 - 22 = 1.54

Therefore the sales tax in dollars is 1.54

The tax % will be  (amount of tax / original cost price ) × 100

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So the tax rate is 7%

We can double check the answer.

7 % of 22  → (7/100) × 22 → 0.07 × 22 = 1.54

22 + 1.54 = 23.54

6 0
3 years ago
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