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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:

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Step-by-step explanation:

5 0
4 years ago
What is the y value of the solution to the system of equations given? y=5x-3 3x-2y=27
nignag [31]

Answer:

y = -18

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Order of Operations: BPEMDAS
  • Equality Properties

<u>Algebra I</u>

  • Solving systems of equations using substitution/elimination

Step-by-step explanation:

<u>Step 1: Define systems</u>

y = 5x - 3

3x - 2y = 27

<u>Step 2: Rewrite systems</u>

  1. Define:                                        3x - 2y = 27
  2. Add 2y on both sides:               3x = 2y + 27
  3. Divide 3 on both sides:              x = 2/3y + 9

<u>Step 3: Redefine</u>

y = 5x - 3

x = 2/3y + 9

<u>Step 4: Solve for </u><em><u>y</u></em>

  1. Substitute in <em>x</em>:                              y = 5(2/3y + 9) - 3
  2. Distribute 5:                                  y = 10/3y + 45 - 3
  3. Combine like terms:                     y = 10/3y + 42
  4. Subtract 10/3y on both sides:      -7/3y = 42
  5. Divide -7/3 on both sides:            y = -18
8 0
3 years ago
Is Ronald correct because 80,000,000 + 6,200 = 142,000,000,000. yes or no
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Answer: Yes

Step-by-step explanation:

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6 0
3 years ago
Read 2 more answers
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nekit [7.7K]
31 - 4 + 6 = 33

-17 + 22 - 5 = 0

31 - 4 + 6 > -17 + 22 - 5
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Some birds were flying and met a bird on their way. The bird greeted them; hello hundred! They said we are not hundred, we need
Alex_Xolod [135]

Answer:

I'm not certain but it sounds as though there would be 150 birds flying .

Step-by-step explanation:

The first bird says we are not hundred, they need half their group population plus the second birds group population. So if we are trying to get 100 from two groups the easiest numbers would be to add 50 and 50. So if we have the second groups whole population be 50 birds then the first group's whole population must be 100. The first bird said half of us so that means half of 100 which would be 50. If you add half of the first groups population, which is 50(100/2=50), plus the second groups whole population (50), you get 100 birds. Which means if you add the first groups total population(100) with the second groups total population(50) you get 150 total birds flying.

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