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Prove that the sum of the interior angles of any n-sided polygon is (n -2)7.
What is the sum of the measures of the exterior angles of any convex polygon, one angle at each vertex
What is the sum of the measures of the exterior angles of any convex polygon, one angle at each vertex? ____________ A regular polygon has 6 sides. Find the measure of each exterior angle. _________
A regular polygon is an n-sided polygon in which all sides are of the same length...
A regular polygon is an n-sided polygon in which all sides are of the same length and all angles have the same degree (i.e., the polygon is both equilateral and equiangular). The formula for computing the area of a regular polygon isArea =Here, s is the length of a side. Write a program that prompts the user to enter the number of sides and their length of a regular polygon and displays its area. Here is a sample run:
What is the sum the interior angles of a 13-gon
What is the sum the interior angles of a 13-gon? What is the sum the interior angles of a 20-gon? What is the sum the interior angles of a 18-gon?
(Geometry: n-sided regular polygon) An n-sided regular polygon’s sides all have the same length and all...
(Geometry: n-sided regular polygon) An n-sided regular polygon’s sides all have the same length and all of its angles have the same degree (i.e., the polygon is both equilateral and equiangular). Design a class named RegularPolygon that contains: ■ A private int data field named n that defines the number of sides in the polygon. ■ A private float data field named side that stores the length of the side. ■ A private float data field named x that defines...
N-Sided Polygon An n-sided polygon is a planed figure whose sides have the same length and...
N-Sided Polygon An n-sided polygon is a planed figure whose sides have the same length and whose angles have the same degree. Write a class called NSidedPolygon that contains the following components: Private members to store the name of a polygon, the number of sides, and the length of each side. (You are expected to select the appropriate data types for each member.) A constructor that accepts the number of sides and the length of each side. A private method...
//include comments Opts (Regular polygon) An n-sided regular polygon has n sides of the same length...
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Opts (Regular polygon) An n-sided regular polygon has n sides of the same length and all angles have the same degree (i.e., the polygon is both equilateral and equiangular). Design a class named RegularPolygon that contains: Aprivate int data field named n that defines the number of sides in the polygon with default value 3. A private double data field named side that stores the length of the side with default value 1. A private double data field...
solve #6 1. Balance the following interior angles (angles to the right) of five sided closed...
solve #6
1. Balance the following interior angles (angles to the right) of five sided closed polygon traverse. If the azimuth of side AB is fixed at 218 59 30, calculate the azimuths of the remaining sides. A-132°47 06, B-108"46 18, C= 107。19 37, D-81.50 36. E-109.16 18, (Note: Line BC bears SE) Compute departure and latitudes, linear misclosure and relative precision for the traverse of problem above, if the length of the side (in feet) are as follows: AB...
23. The sum of the interior angles of a triangle is equal to 180°. The angles...
23. The sum of the interior angles of a triangle is equal to 180°. The angles are to be identified as angles A, B and C. One of the angles is 20° larger than the smallest angle, and the third angle is 10° larger than the smallest angle. Calculate the size (in degrees, ) of each of the three angles in this triangle.
Problem 2 9.9 Geometry: n-sided regular polygon pg. 362 (25 points) Follow instructions as provided on...
Problem 2 9.9 Geometry: n-sided regular polygon pg. 362 (25 points) Follow instructions as provided on page 362, reprinted below 9.9 (Geometry: n-sided regular polygon) In an n-sided regular polygon, all sides have the same length and all angles have the same degree (i.e., the polygon is both equilateral and equiangular) Design a class named RegularPolygon that contains A private int data field named n that defines the number of sides in the polygon with default value of 3 A...
Given an exterior angle of a triangle is greater than either of the remote interior angles,...
Given an exterior angle of a triangle is greater than either of the remote interior angles, then prove the sum of the degree measures of a triangle is less than or equal to 180 degrees. (Notice you are not beginning with or using the parallel postulate to prove this!) Don not use parallel postulate to prove!
A regular polygon is an n-sided polygon in which all sides are of the same length and all angles have the same degree (i.e., the polygon is both equilateral and equiangular). The formula for computing the area of a regular polygon isArea =Here, s is the length of a side. Write a program that prompts the user to enter the number of sides and their length of a regular polygon and displays its area. Here is a sample run:
//include comments
Opts (Regular polygon) An n-sided regular polygon has n sides of the same length and all angles have the same degree (i.e., the polygon is both equilateral and equiangular). Design a class named RegularPolygon that contains: Aprivate int data field named n that defines the number of sides in the polygon with default value 3. A private double data field named side that stores the length of the side with default value 1. A private double data field...
solve #6
1. Balance the following interior angles (angles to the right) of five sided closed polygon traverse. If the azimuth of side AB is fixed at 218 59 30, calculate the azimuths of the remaining sides. A-132°47 06, B-108"46 18, C= 107。19 37, D-81.50 36. E-109.16 18, (Note: Line BC bears SE) Compute departure and latitudes, linear misclosure and relative precision for the traverse of problem above, if the length of the side (in feet) are as follows: AB...
23. The sum of the interior angles of a triangle is equal to 180°. The angles are to be identified as angles A, B and C. One of the angles is 20° larger than the smallest angle, and the third angle is 10° larger than the smallest angle. Calculate the size (in degrees, ) of each of the three angles in this triangle.
Problem 2 9.9 Geometry: n-sided regular polygon pg. 362 (25 points) Follow instructions as provided on page 362, reprinted below 9.9 (Geometry: n-sided regular polygon) In an n-sided regular polygon, all sides have the same length and all angles have the same degree (i.e., the polygon is both equilateral and equiangular) Design a class named RegularPolygon that contains A private int data field named n that defines the number of sides in the polygon with default value of 3 A...
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