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Colt1911 [192]
3 years ago
8

Angles question please help math

Mathematics
1 answer:
Natali [406]3 years ago
3 0
The answer should be 62 °
180°-118°=62°
Subtract 118° from 180° because a parallel line is 180°. So you just have to find the other side of the line.
Hope this helps.
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Determine the center and radius: x2 + y2 - 10x + 8y -8 = 0​
Kipish [7]

So our equation currently is ⇒ x^2+y^2-10x+8y-8 = 0

<u>Let's first move all the constant to one side and group 'like variables' together</u>:

      (x^2-10x)+(y^2+8y) = 8

<u>Now lets complete the square of both equations</u>

    (x^2-10x+25)+(y^2+8y +16) = 8 + 25 + 16\\(x-5)^2+(y+4)^2 = 49\\(x-5)^2+(y+4)^2 = 7^2

<u><em>Now we know the circle's general equation format is</em></u>:

   ⇒(x-h)^2+(y-k)^2 = r^2

  • (h, k) ⇒ coordinate of the center of the circle
  • r ⇒ length of radius of circle

<u>Thus the radius of the circle is 7</u>

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Hope that helps!

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Step-by-step explanation:

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A typical human stomach can hold up to 4 cups of food. Write an inequality to represent how many cups of food a stomach can hold
Ede4ka [16]
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Luden [163]

Answer:

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Claire is putting up a fence around her rectangular garden. The length is four less than double the width. The perimeter is 22 f
Doss [256]

Answer:

The dimensions are 6 by 5 feet.

Length = 6 feet.

Width = 5 feet.

Step-by-step explanation:

Let the length = L

Let the width = W

Perimeter of a rectangle = 2L + 2W

Translating the word problem into an algebraic equation, we have;

L = 2W - 4 ........equation 1

22 = 2L + 2W .......equation 2

Substituting the value of "L" into equation 2, we have;

22 = 2(2W - 4) + 2W

22 = 4W - 8 + 2W

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30 = 6W

W = 30/6

Width, W = 5 feet.

To find the length, L

Substituting the value of "W" into equation 1, we have;

L = 2W - 4

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L = 10-4

Length, L =6 feet

Therefore, the dimensions of the garden are 6 by 5 feet.

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3 years ago
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