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LekaFEV [45]
3 years ago
7

Three angles of an octagon are equal and the sum of the remaining angles is 705⁰. find the size of one of the equal angles.​

Mathematics
1 answer:
s2008m [1.1K]3 years ago
6 0

Answer:

125°

Step-by-step explanation:

The sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

Here n = 8 (octagon), thus

sum = 180° × 6 = 1080°

let x represent one of the equal angles, then

3x + 705 = 1080 ( subtract 705 from both sides )

3x = 375 ( divide both sides by 3 )

x = 125

Thus the size of one equal angle = 125°

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Answer:

A cup of juice will cost 1.04 US dollars

Step-by-step explanation:

Here, we want to know the cost of one cup of juice in US dollars.

The cost of a quart of juice is Canada is 4.40CAN

now, since there are 4 cups in a quart, the cost of a cup of juice will be 4.40/4 = 1.10 CAN

Moving on;

We are told that 1 USD = 1.06 CAN ;

thus x usd = 1.10 CAN

1 * 1.10 = x * 1.06

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What is 17,574 in expanded form?
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Step-by-step explanation:

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making 22 3/4 cups of chowder each cup of chowder holds 7/8 of a cup , the restaurant charges $2.95 per bowl. how much money wil
stiks02 [169]
<span><span>1.       </span>The restaurant is making 22 ¾ cups of chowder. Each cup of chowder holds 7/8 of a cup.
Then the restaurant charges 2.95 dollars per bowl. Let’s find out how much money will the restaurant earned.
Solutions:
=> 22 ¾ = 22.75 cups of chowder
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Let’s solve to get the correct answer:
=> 22.75 / .88 = 25.85 cups in all.
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3 0
3 years ago
A grid shows the positions of a subway stop and your house. The subway stop is located at (7, -6) and your house is located at (
Yuri [45]

So the distance between subway stop and house is 19 units

Step-by-step explanation:

The distance formula will be used to calculate the distance between home and subway.

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Here (x1,y1) are the coordinates of first point

and

(x2,y2) are the coordinates of second point

Given

(x1,y1) = (7, -6)

(x2,y2) = (-9,5)

Putting the values in the formula

d=\sqrt{(-9-7)^2+(5-(-6))^2} \\=\sqrt{(-16)^2+(5+6)^2} \\=\sqrt{256+(11)^2}\\=\sqrt{256+121}\\=\sqrt{377}\\=19.41\ units

Rounding off to nearest unit gives us 19.

So the distance between subway stop and house is 19 units

Keywords: Distance, distance formula

Learn more about distance at:

  • brainly.com/question/1859222
  • brainly.com/question/1993757

#LearnwithBrainly

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