The correct answer is 8/x + 4.
The arc and the central angles will be the same.
If you were making a replica ferris wheel it would be similar to the larger ferris wheel. This means that all the angles would be the same. If the angles were the same, the arc measures would also be the same.
First fold = .02
2nd fold = .04
3rd fold = .08
4th fold = .16
5th fold = .32
6th fold = .64 cm
<h3>
Answer: 54</h3>
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Explanation:
Focus on the bottom most triangle. The upper angle of this triangle is 360/5 = 72 degrees. This is because the regular pentagon is split into five congruent (aka identical) triangles.
Each of the triangles are isosceles. Let x be the measure of the base angles.
Use the rule that adding the three angles of a triangle gets us 180
angle1+angle2+angle3 = 180
x+x+72 = 180
2x+72 = 180
2x = 180-72
2x = 108
x = 108/2
x = 54 is the answer
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Another way to get the answer:
i = interior angle of a regular polygon with n sides
i = 180(n-2)/n
i = 180(5-2)/5
i = 180(3)/5
i = 540/5
i = 108
Each interior angle of a regular pentagon is 108 degrees.
Angle x marked in blue is half that, so it is 108/2 = 54 degrees
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A third method:
E = exterior angle of a regular polygon with n sides
E = 360/n
E = 360/5
E = 72 degrees is the measure of each exterior angle
i = 180 - E
i = 180-72
i = 108 is the measure of each interior angle.
To wrap things up, we follow the same exact steps at the end of the 2nd section to get 108/2 = 54 as our answer.
-85 degrees in is the 4th quadrant so the cos and sec will be positive
sec is also positive in first quadrant so sec(85) will be equal to sec(-85)
Sec is is negative in 3rd quadrant so -sec(-95) will be same also.
sec 275 is in 3rd quadrant so will be negative so not equal
also sec(-95) will be same angle as sec 275
the last 2 options are not equal to sec(-85)
