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Natali5045456 [20]
3 years ago
11

12 out of 30 people chose their favourite colour as blue caculate the angle you would use for blue on a pie chart

Mathematics
1 answer:
GrogVix [38]3 years ago
6 0

Answer:

The angle = 144 degrees.

Step-by-step explanation:

Look at it this way (it is a proportion question)

30 people would require a pie chart made of a full circle (360 degrees)

12 people would require x part of the pie chart.


30/360 = 12 / x            Cross multiply

30x = 360 * 12             Simplify the right

30x = 4320                  Divide by 30

30x/30 = 4320/20      

x = 144                           Answer

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Alex Ar [27]

Answer:

Yes; Opposite sides are congruent, and diagonals are congruent.

Step-by-step explanation:

we have

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we know that

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d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}

step 1

Find the length of the sides

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d=\sqrt{(-2+7)^{2}+(4-4)^{2}}

d=\sqrt{(5)^{2}+(0)^{2}}

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<u><em>Find the distance BC</em></u>

substitute the values

d=\sqrt{(-2+2)^{2}+(0-4)^{2}}

d=\sqrt{(0)^{2}+(-4)^{2}}

BC=4\ units

<u><em>Find the distance CD</em></u>

substitute the values

d=\sqrt{(-7+2)^{2}+(0-0)^{2}}

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<u><em>Find the distance AD</em></u>

substitute the values

d=\sqrt{(-7+7)^{2}+(0-4)^{2}}

d=\sqrt{(0)^{2}+(-4)^{2}}

AD=4\ units

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AB=CD

BC=AD

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Find the length of the diagonals

<u><em>Find the distance AC</em></u>

substitute the values

d=\sqrt{(-2+7)^{2}+(0-4)^{2}}

d=\sqrt{(5)^{2}+(-4)^{2}}

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substitute the values

d=\sqrt{(-7+2)^{2}+(0-4)^{2}}

d=\sqrt{(-5)^{2}+(-4)^{2}}

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Compare the length of the diagonals

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The figure is a rectangle, because Opposite sides are congruent, and diagonals are congruent

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Answer:


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