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zhannawk [14.2K]
3 years ago
5

The angles of a quadrilateral are in the ratio of 2:6:9:13

Mathematics
2 answers:
White raven [17]3 years ago
6 0

Answer:

Below in bold.

Step-by-step explanation:

2+6+9+13 = 30.

Now there are 360 degrees in a a quadrilateral.

So the value of the shortest angle = 2/30 * 360

= 1/15 * 360

= 24 degrees.

In the same way the value of the other 3 angles is:

6/30 * 360,  9/30 * 360 and 13/30 * 360

= 72, 108 and 156 degrees.

Wewaii [24]3 years ago
5 0

Answer:

<h2>24° , 72° , 108° , 156°</h2>

Step-by-step explanation:

Let the angles be 2x , 6x , 9x , 13x

We know that the sum of quadrilateral is 360°

Now,

2x + 6x + 9x + 13x = 360

Calculate the sum

30x = 360

Divide both sides of the equation by 30

\frac{30x}{30}  =  \frac{360}{30}

Calculate

x = 12

Replacing the value,

2x = 2 * 12 = 24°

6x = 6 * 12 = 72°

9x = 9 * 12 = 108°

13x = 13 * 12 = 156°

So, the angles are 24° , 72° , 108° , 156°

Hope this helps...

Good luck on your assignment...

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How to find the circumference of a circle
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Answer:

Step-by-step explanation:

The distance around a rectangle or a square is as you might remember called the perimeter. The distance around a circle on the other hand is called the circumference (c).

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3 years ago
Twenty-seven of the 90 acres were planted with alfalfa. What percent of the acres was not planted with alfalfa?
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7 0
2 years ago
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X should equal 12.5

You have to split the isosceles acute triangle in the middle of the polygon down the middle, and find what the now right isosceles tringle is. Since we already know that there's a 50 degress and a 90 degress there all you have to do is add those two numbers together and subtract from 180. Thena after you've done that you just need to multiply 40 by 2 and bata bing, bata boom you have 80 degress as your top, you already have a 50 and the last one has to be 50. Divide 50 by 4 and you get 12.5

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