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Vika [28.1K]
3 years ago
10

In the given figure, values of x and y, are 1. 40°, 25° 2. 30°, 40° 3. 30°, 20° 4. 40°, 35°

Mathematics
1 answer:
Virty [35]3 years ago
6 0

Answer:

1. 40°, 25°

Step-by-step explanation:

The sum of opposite angles of a quadrilateral inscribed in a circle is 180°.

2x + 4 + 4y - 4 = 180

x+ 10 + 5y + 5 = 180

2x + 4y = 180

x +5y + 15 = 180

x + 2y = 90

x + 5y = 165

x = 90 - 2y

x = 165 - 5y

90 - 2y = 165 - 5y

5y - 2y = 165 - 90

3y = 75

y = 25

x = 90- 2y = 90 - 2*25 = 40

x= 40, y = 25

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A rectangular playground is 40 meters by 10 meters its area will be covered with wood chips each bag of wood chips covers 200 sq
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Answer:

Step-by-step explanation:

The formula for determining the area of a rectangular playground is expressed as

Area = length × width

The rectangular playground is 40 meters by 10 meters. This means that the area of the playground would be

Area = 40 × 10 = 400 m²

Each bag of the wooden Chips to be used to cover the playground covers 200 sq meters. The number of bags needed would be

400/200 = 2 bags

Each bag costs $30. Therefore, the total cost for this project would be

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7 0
3 years ago
Solve for x by factoring. Check your answers. Can you check to see if I'm correct?
Studentka2010 [4]
If you want to check if your answer is correct, expanding it all out will help!

(x-6)(x+2)=0 <-- Use FOIL tactic 

x²+2x-6x-12=0

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Hope I helped :) 
7 0
3 years ago
HELP ASAP! Which of the following tables represents a linear function?
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Table A, B and D are represents a linear function.

What is Equation of line?

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

There are 4 tables.

Now,

For Table A;

The equation of line is,

⇒ y - y₁ = (y₂ - y₁) / (x₂ - x₁) (x - x₁)

⇒ y - 5 = (2 - 5) / (- 1 - (-2))  (x - (-2))

⇒ y - 5 = - 3/1 (x + 2)

⇒ y - 5 = - 3 (x + 2)

⇒ y - 5 = - 3x - 6

⇒ y = - 3x - 1

For Table B;

The equation of line is,

⇒ y - y₁ = (y₂ - y₁) / (x₂ - x₁) (x - x₁)

⇒ y - 5 = (3 - 5) / (- 1 - (-2))  (x - (-2))

⇒ y - 5 = - 2/1 (x + 2)

⇒ y - 5 = - 2 (x + 2)

⇒ y - 5 = - 2x - 4

⇒ y = - 3x + 1

For Table C;

The equation of line is,

⇒ y - y₁ = (y₂ - y₁) / (x₂ - x₁) (x - x₁)

⇒ y - (-2) = (- 1 - (-2)) / (3 - 3)  (x - 3)

⇒ y + 2 = 1/0 (x + 2)

⇒ y - 5 = ∞

Hence, It is not possible.

For Table D;

The equation of line is,

⇒ y - y₁ = (y₂ - y₁) / (x₂ - x₁) (x - x₁)

⇒ y - 0 = (-1 - 0) / ( 1 - 0)  (x - 0)

⇒ y - 0 = - 1/1 (x)

⇒ y = - x

Thus, Table A, B and D are represents a linear function.

Learn more about the equation of line visit:

brainly.com/question/18831322

#SPJ1

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1 year ago
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Answer:

14. 6 x 10^{17}

15. 28.615 x 10^{10}

16. I'm so sorry, I'm not sure!

17. 1.26 x 10^{10}

18. 1.639 x 10^{-8}

19. 2.025 x 10^{17}

<em>Hope that helps! I'm sorry if it's wrong, and sorry about all the trouble that has been brought upon you!</em>

<em></em>

<em>-Aphrodite</em>

Step-by-step explanation:

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