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bulgar [2K]
3 years ago
5

Solve Find mZKJI if mZGJI = 160° and mZKJG =20

Mathematics
1 answer:
melomori [17]3 years ago
4 0

Answer:

A. 180

Step-by-step explanation:

Angle KJI = Angle KJG + Angle GJI

                = 20 + 160

                = 180 degrees

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Write an equation of the circle that has a diameter with endpoints (12, 3) and<br> (-18,3).
Mademuasel [1]

The equation of the circle that has a diameter with endpoints (12, 3) and(-18,3) is x² + y² + 6x - 6y - 207 = 0

<h3>Coordinates of center of circle</h3>

Since the endpoints of the diameter are (x₁, y₁) = (12,3) and (x₂, y₂) = (-18,3), the coordinates of the center of the circle are the midpoints of the diameter. So, the midpoints are

  • x = (x₁ + x₂)/2 = (12 + (-18))/2 = (12 - 18)/2 = -6/2 = -3 and
  • y = (y₁ + y₂)/2 = (3 + 3)/2 = 6/2 = 3.

So, the coordinates of the center of the circle are (-3, 3)

<h3>The radius of the circle</h3>

The radius of the circle r = √[(x₁ - h)² + (y₁ - k)²] where

  • (x₁, y₁) = coordinates of end of diameter = (12, 3) and
  • (h, k) = coordinates of center of circle = (-3, 3)

So, substituting the values of the variables into r, we have

r = √[(x₁ - h)² + (y₁ - k)²]

r = √[(12 - (-3))² + (3 - 3)²]

r = √[(12 + 3)² + 0²]

r = √[15² + 0²]

r = √15²

r = 15

<h3>The equation of the circle</h3>

The equation of a circle with center (h,k) is given by

(x - h)² + (y - k)² = r² where r = radius of circle.

Substituting the values of the variables into the equation, we have

(x - h)² + (y - k)² = r²

(x - (-3))² + (y - 3)² = 15²

(x + 3)² + (y - 3)² = 15²

x² + 6x + 9 + y² - 6y + 9 = 225

x² + 6x + y² - 6y + 9 + 9 - 225 = 0

x² + y² + 6x - 6y - 207 = 0

The equation of the circle that has a diameter with endpoints (12, 3) and(-18,3) is x² + y² + 6x - 6y - 207 = 0

Learn more about equation of a circle here:

brainly.com/question/18435467

5 0
2 years ago
What is (√2) + 2? <br> (No decimals.)
kicyunya [14]

( square root 2) + 2

= 2+ square root 2


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The number series 1, 3, 5, 7, 9, . . . . , 59. Therefore, 900 is the sum of first 30 odd numbers.

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Step-by-step explanation:

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Help me with this question for brainliest please
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Answer:

A

Step-by-step explanation:

We want to find the surface area, which will essentially just be the areas of all the figures given in the net.

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The area of a triangle is denoted by: A = (1/2) * b * h, where b is the base and h is the height. The base here is 3 and the height is 4, so:

A = (1/2) * b * h

A = (1/2) * 3 * 4 = 6

Since there are two triangles, multiply 6 by 2: 6 * 2 = 12 cm squared

<u>Rectangles</u>:

The area of a rectangle is denoted by: A = b * h, where b is the base and h is the height.

The base of the leftmost rectangle is 4 and the height is 7, so:

A = b * h

A = 4 * 7 = 28

The base of the middle rectangle is 3 and the height is 7, so:

A = b * h

A = 3 * 7 = 21

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A = b * h

A = 5 * 7 = 35

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