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Artemon [7]
3 years ago
12

How is the number of vertices related to the number of sides of the polygon and to the type of polygon? Give two examples.

Mathematics
1 answer:
Anestetic [448]3 years ago
8 0
Well,

Take a triangle.  It has three vertices and three sides.  The three vertices dictate that there will be three sides.  The same rule applies for a quadrilateral (four vertices and sides), a pentagon (five vertices and sides), etc.  So the number of vertices in a polygon is equal to the number of sides in the same polygon.

Taking this a step further, since the number of vertices are equal to the number of sides, we can conclude that a polygon with three vertices is a triangle, a polygon with four vertices is a quadrilateral, a polygon with five vertices is a pentagon, etc.
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Math help due soon thanks
belka [17]

Answers:

  1. Skipping
  2. Skipping
  3. Angles A and E
  4. Angles B and C
  5. Angles D and E
  6. Angles A and H
  7. Angles A and B
  8. Angle A
  9. Angle B
  10. Angles E and F

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

Explanation:

  1. Skipping
  2. Skipping
  3. Corresponding angles are ones where they are in the same configuration of the 4 corner angle set up. Angles A and E are in the same northwest position. Another pair would be angles B and F in the northeast, and so on. Corresponding angles are congruent when we have parallel lines like this.
  4. Vertical angles form when we cross two lines. They are opposite one another and always congruent (regardless if the lines are parallel or not).
  5. Alternate interior angles are inside the parallel lines, and they are on alternating sides of the transversal cut. Alternate interior angles are congruent when we have parallel lines like this.
  6. Alternate exterior angles are the same idea as number 5, but now we're outside the parallel lines. Alternate exterior angles are congruent when we have parallel lines like this.
  7. Adjacent angles can be thought of as two rooms that share the same wall. Specifically, adjacent angles are two angles that share the same segment, line, or ray. The angles must also share the same vertex. In this case, any pair of adjacent angles always adds to 180 (though it won't be true for any random pair of adjacent angles for geometry problems later on).
  8. Simply list any angle that looks obtuse, ie any angle that is larger than 90 degrees.
  9. List any angle that is smaller than 90 degrees. It can be adjacent to whatever you picked for problem 8, but it could be any other acute angle as well.
  10. Refer to problem 7. In this case, adding any two adjacent angles together forms a straight line.
7 0
3 years ago
Find the nth term, a n, of the given arithmetic sequence. a^1 = 75, d = –8, n = 11
kap26 [50]
An = a1+d*(n-1)
a11 = 75-8*(11-1) = -5

4 0
3 years ago
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11111nata11111 [884]
25, because a cube that is 10x10 would have an area of 100. and the cubes that are 2x2 would have an area of 4. so you take 100 and divide it by 4. answer is 25.
5 0
2 years ago
What is 7x^2-8x-9=-3x rounded to the nearest hundredth
jonny [76]

Answer: 1.55, and -0.83

Step-by-step explanation:

5 0
3 years ago
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C. Fernando's ice cream shop

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