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AveGali [126]
3 years ago
12

Each regular polygon has radil and apothem as shown. Find the measure of each numbered angle. ​

Mathematics
1 answer:
ruslelena [56]3 years ago
4 0

Answer:

∠5 = 60°

 ∠6 = 30°

 ∠7 = 120°

Step-by-step explanation:

Since the polygon is regular, you know that the central angle (7) is 1/3 of the circle, or 120°. The angle 5 is half that measure, so is 60°, and the angle 6 is the complement of angle 5, so is 30°. (Angle 6 is also half the inscribed angle at each vertex, said inscribed angle being 120°/2 = 60°.)

 ∠5 = 60°

 ∠6 = 30°

 ∠7 = 120°

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An equilateral triangle has a perimeter of 60m and a height of 17.3m. what is its area?
Simora [160]

The area of any triangle is            (1/2) x (length of the base) x (height) .

In this problem, we know the triangle's height,
but what is the length of the base ?

The base is the side that the triangle is sitting on.  This particular triangle
is an equilateral one, and its perimeter is 60m.  So each side must be 20m. 
No matter which side the triangle is sitting on, the length of the base is 20m.

           Area = (1/2) x (base) x (height)

           Area = (1/2) x (20m) x (17.3m) =  <em>173 m²</em>


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4 years ago
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almond37 [142]
The ratio is:
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A triangular flag has an area of 462 square feet. The base is 14 feet. What is the height?
gulaghasi [49]

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