IMMEDIATE HELP NEEDED!!!! 50 POINTS​Quadrilateral ABCD​ is inscribed in this circle.



What is the measure of angle C?

Enter your answer in the box.


°
IMMEDIATE HELP NEEDED!!!! 50 POINTS ​Quadrilateral ABCD​ is inscribed in - 1

Answers

Answer 1
Answer:

Answer:

∠C = 62°

Step-by-step explanation:

GIVEN :-

  • Cyclic quadrilateral ABCD
  • ∠A = (2x + 38)°
  • ∠D = (x + 20)°
  • ∠B = (3x)°

TO FIND :-

  • The measure of ∠C

FACTS TO KNOW BEFORE SOLVING :-

  • A cyclic quadrilateral is a quadrilateral inscribed in a circle.
  • In a cyclic quadrilateral , sum of the opposite interior angles is equal to 180°

PROCEDURE :-

As ABCD is a cyclic quadrilateral ,

∠B + ∠D = 180°

=> 3x + x + 20 = 180

=> 4x = 180 - 20

=> x = (160)/(4) = 40

Putting the values of x gives :-

∠A = (2×40 + 38)° = 118°

∠B = (3×40)° = 120°

∠D = (40 + 20)° = 60°

Also,

∠A + ∠C = 180°

∠C = 180° - 118° = 62°


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Answers

Answer:

it’s the 3rd one:)

Step-by-step explanation:

Answer:

  • In this situation, (h, k) = (-2, -3)
  • Radius = 8/2 = 4 units

Substitute them into the circle equation: (x - h)² + (y - k)² = r²

(x - (-2))² + (y - (-3))² = 4²

(x + 2)² + (y + 3)² = 4²

Now expand the equation:

(x + 2)² + (y + 3)² = 4²

(x + 2)(x + 2) + (y + 3)(y + 3) = 16

(x² + 2x + 2x + 4) + (y² + 3y + 3y + 9) = 16

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Two cylindrical containers are shown. Container A has radius r and height h and holds a maximum of 42 ounces of water. Container B has radius r and height 1.5h. What is the maximum amount of water that Container B can hold?

Answers

Volume of a cylindrical container=πr²h
Container A:
πr²h=42 ounces of water.

Countainer B.
Volume of Container B=πr²(1.5 h)=1.5(πr²h)=1.5(42 ounces of water)=63 ounces of water.

Answer: the maximum amount of water that Container B can hold is 63 ounces of water. 

What multiplys to be 12 but adds to be 7

Answers

xy = 12
x + y = 7

     x + y = 7
x - x + y = -x + 7
           y = -x + 7

                                    xy = 12
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                -1(x² - 7x + 12) = 0
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                      x² - 7x + 12 = 0
               x² - 4x - 3x + 12 = 0
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       x + y = 7
       3 + y = 7
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            y = 4
     (x, y) = (3, 4)

             or

       x + y = 7
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         (x, y) = (4, 3)

The two numbers that mutliplies to 12 and add up to 7 are 3 and 4.

A spinner with 9 equal sections is numbered 1 through 9. The probability of spinning a 3 isWhat is the probability of not spinning a 3?
Enter your answer as a fraction, in simplest form, in the box.

Answers

Answer:

8/9

Step-by-step explanation:

the probability of spinning 3 is 1/9 so just subtract with 1 or 9/9

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Answers

Your answer:

1/tanx = 1/(sinx/cosx) = cosx/sinx = cotx

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Answers

So the question is is it true or false that when you divide the mass of a substance by it's volume you will get its density. So from the definition of density we know that density=mass/volume or: D=m/V. So the answer is true, when you divide a mass of a sbstance by its volume, you get it's density.