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dolphi86 [110]
3 years ago
10

An exterior angle measure of a regular polygon is given. Find the number of its sides and the measure of each interior angle. 60

°(this is the extirior angle) The regular polygon has __ sides and each of its interior angles measures ___ °.
Mathematics
2 answers:
Ostrovityanka [42]3 years ago
7 0
The size of interior angle=180-60=120°(angles at a point)
The equation to calculate the total angle measure of a polygon is ((number of sides)-2)×180°
Let x be the number of size
(x-2)×180°=120x
x-2=2x/3
3(x-2)=2x
3x-6=2x
x=6
So the polygon has 6 sides and each interior angle is 120°
Korvikt [17]3 years ago
5 0
Sum of all exterior angles = 360°.
Each exterior angle = 60°.

Number of sides = 360 ÷ 60 = 6 

Each interior angle = 180 - 60 = 120°.

Answer: <span>The regular polygon has 6 sides and each of its interior angles measures 120°.</span>
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Answer:

Step-by-step explanation:

Given mean = 84,

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Sample 64,  

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Applying empirical rule , means that 95% of data fall within two standard deviations.

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brooke has scores of 84,72,90,87, and 95 on her first five quizzes. After taking the sixth quiz, brookes mean score increased. w
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Any number above 85.6

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428/5 = 85.6

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a rectangular sheet is 62cm long and 42cm wide from each of its corners a square of side 6cm is cut out and an open box is made
Alla [95]

Answer:

The volume of rectangular box is 9,000 cubic centimeters

Step-by-step explanation:

Given as :

The length of the rectangular sheet = L = 62 cm

The width of the rectangular sheet = B = 42 cm

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From each corner of sheet a square of 6 cm is cut out and an open box made

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i.e L' = (62 - 6 - 6)

Or, L' = 50 cm

Or, Length of the box = 50 cm

And The width of the box = B' = (B - 6 - 6)

i.e B' = (42 - 6 - 6)

Or, B' = 30 cm

Or width of the box = 30 cm

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