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TEA [102]
3 years ago
7

Find the measure of one interior angle for the following regular polygon

Mathematics
1 answer:
shusha [124]3 years ago
4 0

Answer:

Step-by-step explanation:

I am assuming that by "interior" angle you do not mean the central angle.

This is a 10-sided polygon, a decagon. That means that there are 10 triangles that can extend from the center, with their sides being equal to the radii of the decagon. If we extract one of these triangles we can find what the interior angle is. The vertex angle measures 360/10 which is 36.

Split this triangle in half from the vertex to the base, creating a right triangle. The vertex angle is also split in half, making this angle (the vertex angle is the one at the top of the triangle) 18 degrees. We already know that one angle inside this right triangle is 90 (definition of a right triangle) and to find the other one, we apply the Triangle Angle-Sum Theorem:

180 - 18 - 90 = 72 degrees. That is the measure of the base angle that is NOT the right angle, obviously.

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Write a linear equation in standard form for the line that goes through (-14,-5) and (4,3)
olganol [36]

Answer:

I would say that the answer is A. -4x + 9y = 11

Hope it helps, sry if it's wrong. It shouldn't be though.

8 0
3 years ago
Use the row of numbers shown below to generate 12 random numbers between 01 and 99.
sattari [20]

Answer:

Below is the complete step-by-step explanation.

Step-by-step explanation:

Given the row of numbers

25060 12315 86244 97348 36173 32710 80033 16160

<u>Taking 25060 as seed</u>

Total random numbers to be generates = 12

Range of random number generators

  • Minimum value = 01
  • Maximum Value = 99

Seed the number (25060) into your calculator. 25060 ➡️ rand

So, the operation randInt(1,99,12) will generate the following 12 random numbers between 01 and 99.

85 90 62 45 26 97 40 55 67 17 10 32

<u>Taking 12315 as seed</u>

Total random numbers to be generates = 12

Range of random number generators

  • Minimum value = 01
  • Maximum Value = 99

Seed the number (12315) into your calculator. 12315 ➡️ rand

So, the operation randInt(1,99,12) will generate the following 12 random numbers between 01 and 99.

33 20 26 68 73 09 46 14 82 74 17 04

<u>Taking 86244 as seed</u>

Total random numbers to be generates = 12

Range of random number generators

  • Minimum value = 01
  • Maximum Value = 99

Seed the number (86244) into your calculator. 86244 ➡️ rand

So, the operation randInt(1,99,12) will generate the following 12 random numbers between 01 and 99.

54 93 02 50 37 01 86 51 38 28 23 36

<u>Taking 97348 as seed</u>

Total random numbers to be generates = 12

Range of random number generators

  • Minimum value = 01
  • Maximum Value = 99

Seed the number (97348) into your calculator. 97348 ➡️ rand

So, the operation randInt(1,99,12) will generate the following 12 random numbers between 01 and 99.

04 79 01 86 51 02 50 37 38 28 23 36

<u>Taking 36173 as seed</u>

Total random numbers to be generates = 12

Range of random number generators

  • Minimum value = 01
  • Maximum Value = 99

Seed the number (36173) into your calculator. 36173 ➡️ rand

So, the operation randInt(1,99,12) will generate the following 12 random numbers between 01 and 99.

13 03 28 17 14 31 98 47 40 48 68 19

<u>Taking 32710 as seed</u>

Total random numbers to be generates = 12

Range of random number generators

  • Minimum value = 01
  • Maximum Value = 99

Seed the number (32710) into your calculator. 32710 ➡️ rand

So, the operation randInt(1,99,12) will generate the following 12 random numbers between 01 and 99.

22 80 42 03 27 89 98 46 14 31 72 56

<u>Taking 80033 as seed</u>

Total random numbers to be generates = 12

Range of random number generators

  • Minimum value = 01
  • Maximum Value = 99

Seed the number (80033) into your calculator. 80033 ➡️ rand

So, the operation randInt(1,99,12) will generate the following 12 random numbers between 01 and 99.

29 86 51 01 23 64 37 36 35 72 14 59

<u>Taking 16160 as seed</u>

Total random numbers to be generates = 12

Range of random number generators

  • Minimum value = 01
  • Maximum Value = 99

Seed the number (16160) into your calculator. 16160 ➡️ rand

So, the operation randInt(1,99,12) will generate the following 12 random numbers between 01 and 99.

93 54 72 58 30 14 48 87 99 95 83 29

Keywords: random number generator

Learn more about random number generator from brainly.com/question/1601128

#learnwithBrainly

6 0
3 years ago
Please Help!. Consider the function. f (x) = 1/2x +1. a. Find the inverse of f(x) and name it g(x). Show and explain your work.
Artist 52 [7]
The inverse of a function is determined by substituting f(x) by y and expressing the function in terms of x = ... Then exchange the places of x and y. In this problem, y = 0.5 x -1; x = 2(y+1) . Then g(x) = y = 2x +2. The graphs are linear but g(x) has a larger slope compared to f(x).
4 0
3 years ago
lines p and q line in the coordinate plane. An equation for line p is y=0.36x-600. The slope of line q is 0.2 less than the slop
Lilit [14]

Answer:

y = -1/3x -3

Step-by-step explanation:

<u>Lines</u>

Perpendicular lines have negative reciprocal slopes. To find the line, convert the slope of q and substitute it with (6, -5) into point-slope form.

y = 3x + 5 is q. It has a slope of 3. So, p will have a slope of -1/3.

y - y1 = m ( x - x1)

y - (-5) = -1/3 ( x - 6)

y + 5 = - 1/3x + 2

y = -1/3x - 3

4 0
3 years ago
What is the coefficient of the term of degree 7 in the polynomial below? 4 + 6x^7 + 10x - 5x^6 - 2x5
mafiozo [28]
This is in fact a polynomial of degree 7 since 7 is the highest exponent.  Written correctly, these would be in order from highest degree to lowest.  The coefficient (or number) that goes with the 7th degree term is a 6.
5 0
3 years ago
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