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ikadub [295]
3 years ago
6

What is the radius of the incircle of a regular hexagon with a side of 20 cm ?

Mathematics
1 answer:
Kaylis [27]3 years ago
7 0
10√3 cm.
The radius of an incircle of a hexagon is the same measure as the apothem. find the apothem by taking half of the central angle and create a right triangle perpendicular to the side. The central angle is 60 so the angle opposite the side length will be 30.  this creates a 30-60-90 triangle with the ratio x:x√3:2x. half the side opposite 30 is 10, so x=10. the base angle of the side is 60 so it will be x√3. plug in 10 for x to get 10√3 cm.
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krek1111 [17]

Answer:

m<B = 60°

m<C = 60°

m<F = 80°

m<G = 80°

Step-by-step explanation:

m<B = 180° - 120° = 60°

m<C = m<B = 60° (Vertically opposite angles are equal)

m<F = 180° - (40° + m<C(60°)) = 80°

m<G = 180° - (m<H + m<B) = 180° - (40° + 60°) = 80°


6 0
3 years ago
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katrin [286]

Answer:

-6 +2 = -4

Step-by-step explanation:

Its simple. Whenever you see two negative signs next to each other, they merge into an addition sign "positive".

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5 0
3 years ago
If a triangle has a height of 12 inches and a base of 5 inches, what's its area? A. 90 sq. in. B. 45 sq. in. C. 60 sq. in. D. 30
Vilka [71]

Answer:

D

Step-by-step explanation:

(12*5)/2= 30

4 0
3 years ago
Expand the following:<br> a.x(x+5)<br> b.x(3x-1)<br> c.2x(2x+3)<br> d.5x(x-3y)
trasher [3.6K]
It would A because that’s obviously the right answer.
8 0
3 years ago
Simplify the following expression by combining like terms.<br> 3x + 4x² - 7x+ 9x2
EleoNora [17]

Answer:

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Step-by-step explanation:

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= (4x² + 9x² ) + (3x - 7x)

= 13x² + (- 4x)

= 13x² - 4x

7 0
2 years ago
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