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Tju [1.3M]
3 years ago
6

Which of the following is a prime number? 26 45 53 99

Mathematics
2 answers:
ArbitrLikvidat [17]3 years ago
6 0

53 is the only prime number

user100 [1]3 years ago
6 0

Step-by-step explanation:

53 is a prime no.because it can be divided exactly only by itself and 1.

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Problem 1

x = measure of angle N

2x = measure of angle M, twice as large as N

3(2x) = 6x = measure of angle O, three times as large as M

The three angles add to 180 which is true of any triangle.

M+N+O = 180

x+2x+6x = 180

9x = 180

x = 180/9

x = 20 is the measure of angle N

Use this x value to find that 2x = 2*20 = 40 and 6x = 6*20 = 120 to represent the measures of angles M and O in that order.

<h3>Answers:</h3>
  • Angle M = 40 degrees
  • Angle N = 20 degrees
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====================================================

Problem 2

n = number of sides

S = sum of the interior angles of a polygon with n sides

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n-2 = 2700/180

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n = 15+2

n = 17

<h3>Answer: 17 sides</h3>

====================================================

Problem 3

x = smaller acute angle

3x = larger acute angle, three times as large

For any right triangle, the two acute angles always add to 90.

x+3x = 90

4x = 90

x = 90/4

x = 22.5

This leads to 3x = 3*22.5 = 67.5

<h3>Answers:</h3>
  • Smaller acute angle = 22.5 degrees
  • Larger acute angle = 67.5 degrees
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