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NeX [460]
3 years ago
5

the measure of the seven angles in a nonagon measure 138, 154, 145, 132, 128, 147 and 130. if the two remaining angles are equal

in measure, what is the measure of each angle
Mathematics
1 answer:
mars1129 [50]3 years ago
5 0
A polygon is any figure sided with three sides and above such that triangle (3) is the smallest polygon. A nonagon is a polygon with 9 sides. To get the sum of interior angles of a polygon we use the formula;
(n-2) 180 or (n-4)90 where n is the number of sides.
Therefore, for a nonagon the sum of interior angles = (9-2) 180 = 1260 degrees
If we add all the angles we should get 1260, considering the remaining angles to be each x
Thus 138+154 +145 +132 +128 +147 +130 + x +x =1260
                             = 974 + 2x = 1260
                             = 2x = 286
                             = 143
 therefore, each of the other angles was 143 
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Answer:

Check Explanation

Step-by-step explanation:

The complete question plus diagram is presented in the attached image to this solution.

From the attached image, the dimensions of the playground drawn will be a bit variable now as zooming and some editing might have tampered with the original intended dimensions to be measured.

But still, let us assume that on measuring the rectangular playground shown, we obtain approximately that the length is 4.5 cm and the breadth is 2 cm.

The scale to convert to real life is 1;500 indicating that

1 cm on the drawing = 500 cm lenght units of the real playground.

So,

4.5 cm on the drawing = 4.5 × 500 = 2250 cm of the playground

2 cm on the drawing = 2 × 500 = 1000 cm of the playground.

Hence, the real life dimensions of the playground is 2250 cm by 1000 cm.

In meters, that is 2.25 m by 1 m

The perimeter of a rectangular figure is given as

Perimeter = 2(Length + Breadth)

= 2(2.25 + 1)

= 6.5 m

Hope this Helps!!!

5 0
3 years ago
The number of Liters remaining in a 100 Liter tank that is draining at a rate of 4 Liters per minute for m
serg [7]

Answer:

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Step-by-step explanation:

100-4 x m

3 0
3 years ago
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To determine the number of squirrels in a conservation area a researcher cashers tags and releases 114 squirrels you later catch
Ede4ka [16]

Answer:

336 squirrels

Step-by-step explanation:

-This is a Mark-Recapture method.

-The population is estimated using the formula:

N=\frac{MC}{R}

where:

  • N-is the estimated population size.
  • M-is the number of individuals tagged
  • C- is the total number captured the second time(both tagged and untagged)
  • R-is the total number of tagged individuals recaptured.

#We substitute our values as follows to estimate N:

N=\frac{MC}{R}\\\\=\frac{114\times 97}{33}\\\\=335.0909\approx336

Hence, there are approximately 336 squirrels in the conservation area.

*population is always rounded up to the next whole number.

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3 years ago
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Vadim26 [7]
Your Answer Is...

12.

(If you need an explanation, comment below.)

Glad I Could Help, And Good Luck!

~AnonymousGiantsFan~
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3 years ago
John is making 4 cylindrical wax candles. If he plans to make candles with a diameter of 7 cm and a height of 12 cm, approximate
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