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juin [17]
3 years ago
11

Find the interior angles of a regular polygon which has 6, 10 and 20 sides​

Mathematics
1 answer:
andrew-mc [135]3 years ago
4 0

Answer:

(6)=120°

(10)=72°

(20)=36°

Step-by-step explanation:

(n-2)×180°

(6-2)×180°=720°

6÷720°=120°

10÷720°=72°

20÷720°=36°

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Look at the right-angled triangle ABC.
Nikolay [14]

Answer:

∠x = 90°

∠y = 58°

∠z = 32°

Step-by-step explanation:

The dimensions of the angles given are;

∠B = 32°

Whereby ΔABC is a right-angled triangle, and the square fits at angle A, we have;

∠A = 90°

∴ ∠B + ∠C = 90° which gives

32° + ∠C = 90°

∠C = 58°

∠x + Interior angle of the square = 180° (Sum of angles on a straight line)

∴ ∠x + 90° = 180°

Hence;

∠x = 90°

∠x + ∠y + 32° = 180° (Sum of angles in a triangle)

∴ 90° + ∠y + 32° = 180°

∠y = 180 - 90° - 32° = 58°

∠y + ∠z + Interior angle of the square = 180° (Sum of angles on a straight line)

58° + ∠z +90° = 180°

∴ ∠z = 32°

∠x = 90°

∠y = 58°

∠z = 32°

3 0
3 years ago
How many ways can a president, vice-president, secretary, and treasurer be chosen from a club with 8 members?
MrMuchimi

_8C_4=\dfrac{8!}{4!4!}=\dfrac{5\cdot6\cdot7\cdot8}{2\cdot3\cdot4}=70

7 0
4 years ago
Read 2 more answers
What is the mean of the values in the stem-and-leaf plot into your answer in the Box​
mezya [45]

Answer:

Step-by-step explanation:

you need more information bu the stem-leaf is meant to split the number

4 0
3 years ago
Koalas sleep for 20hours a day. For what fraction of a day do koalas sleep?
vagabundo [1.1K]

Answer:

5/6

Step-by-step explanation:

There are 24 hours a day and a koala sleeps for 20 hours of it:

20/24

5/6

5 0
3 years ago
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At what point is the following function continuous?
liubo4ka [24]

Check the picture below.

something worth noticing           \bf \cfrac{x^2-x-6}{x-3}\implies \cfrac{(\underline{x-3})(x+2)}{\underline{x-3}}\implies x+2

so, we're really graphing x+2, with a hole at x = 3, however, when x = 3, we know that f(x) = 5, but but but, when x = 3, x+2 = 5, so we end up with a continuous line all the way, x ∈ ℝ, because the "hole" from the first subfunction, gets closed off by the second subfunction in the piece-wise.

4 0
3 years ago
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