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Lostsunrise [7]
3 years ago
9

The measure of each interior angle of a regular polygon can be expressed as x-5 and the number of sides by 10x. Determine the fo

llowing the number of degrees in each exterior angle
Mathematics
1 answer:
Elenna [48]3 years ago
4 0

Answer:

  0.1948° in each exterior angle

Step-by-step explanation:

The exterior angle measure is 360° divided by the number of sides. Here, that is 10x, so the exterior angle is ...

  360°/(10x) = 36°/x

The measure of the interior angle is the supplement of the exterior angle, so we have ...

  x -5 = 180 -(36/x)

  x(x -5) = 180x -36 . . multiply by x

  x^2 -185x = -36 . . . . . subtract 180x

  x^2 -185x +8556.25 = -36 +8556.25 . . . . complete the square

  (x -92.5)^2 = 8520.25

  x -92.5 ≈ ±92.3052

  x ≈ 184.8052 or 0.19480

It does not make any sense for the number of sides to be 10·0.1948 = 1.948, so we assume the number of sides is 184.8052·10 = 1848.

Then the number of degrees in each exterior angle is ...

  36°/184.8052 = 0.1948

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What is the inverse of the given relation?<br><br> y = 3x + 12
pentagon [3]

Answer:

y=3x+12

y-12=3x

x=y/3 - 4

f(y)=y/3 - 4

or

f(x)=x/3 - 4

where f(x) is the inverse of y.

Hope this helps ;]

Step-by-step explanation:

7 0
3 years ago
Barry has been watching the geese that live in his neighborhood. The number of geese changes each week.
riadik2000 [5.3K]
<span><u><em>The correct answer is:</em></u>
B.

<u><em>Explanation:</em></u>
In order to find the appropriate equation for this example, we need to <u>find one that works for the first point (1, 56). </u>
This means when we put 1 in for n in the equation, we need to get 56 as an answer.
If you place 1 in for n in each of the equations, only B gives you 56.
f(n) = 56(0.5)</span>ⁿ⁻¹<span>,
f(n) = 56(0.5)</span>⁰<span>,
f(n) = 56(1),
f(n) = 56. </span>
5 0
4 years ago
Please help me with my question!!
Dmitrij [34]

The question is unclear but I will assume they mean 1/4 and 3 1/2.

Find common denominators.

1/4

3 1/2 -> 3 2/4

Turn into an improper fraction.

3 2/4 -> 14/4

Divide.

14/4 / 1/4

14/4 * 4/1

56/4

14

So, they can make 14 ornaments.

Best of Luck!

6 0
3 years ago
On the map, the distance between two cities is 7.3 centimeters. the map scale is 1cm:50km. what is the actual distance between t
Sergio039 [100]
Multiply 7.3cm by 50km to get the answer of 365
4 0
3 years ago
Find the area of the figure.
Hoochie [10]

Answer:

384 cm

Step-by-step explanation:

7.5 x 24 = 180

8.5 + 7.5 = 16

16 x 24 = 384

5 0
3 years ago
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