Geometry For Enjoyment And Challenge
Geometry For Enjoyment And Challenge
91st Edition
ISBN: 9780866099653
Author: Richard Rhoad, George Milauskas, Robert Whipple
Publisher: McDougal Littell
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Concept explainers

Family of Curves
A family of curves is a group of curves that are each described by a parametrization in which one or more variables are parameters. In general, the parameters have more complexity on the assembly of the curve than an ordinary linear transformation. These…
XZ Plane
In order to understand XZ plane, it's helpful to understand two-dimensional and three-dimensional spaces. To plot a point on a plane, two numbers are needed, and these two numbers in the plane can be represented as an ordered pair (a,b) where a and b are…
Euclidean Geometry
Geometry is the branch of mathematics that deals with flat surfaces like lines, angles, points, two-dimensional figures, etc. In Euclidean geometry, one studies the geometrical shapes that rely on different theorems and axioms. This (pure mathematics) ge…
Lines and Angles
In a two-dimensional plane, a line is simply a figure that joins two points. Usually, lines are used for presenting objects that are straight in shape and have minimal depth or width.
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Question
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Chapter 2, Problem 28RP
To determine

To find values of x and y.

Expert Solution & Answer
Check Mark

Answer to Problem 28RP

  The value of x is 25.74°and y is 51.42°.  

Explanation of Solution

Given information:

  Sum of angles 2x,2y and x form 180°.Sum of angles 2y,x and y form 180°.

Formula used:

The below property is used:

  Angles on straight line form a sum equal to 180°.

Calculation:

From the below figure, we get

  2x + 2y + x = 180°

  3x + 2y = 180°  ---- Equation 1

  2y + x + y = 180°

  x + 3y = 180°    ---- Equation 2

  Geometry For Enjoyment And Challenge, Chapter 2, Problem 28RP

Multiplying Equation 2 by 3 on both sides, we get

  3x + 9y = 540°  ---- Equation 3

Subtracting Equation 1 from Equation 3 on both sides, we get

  7y = 360°

  y = 51.42°

Substituting value of y in Equation 2, we get

  x + ( 3 * 51.42°) = 180°

  x = 180° - 154.26°

  x = 25.74°

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Chapter 2, Problem 27RP
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Chapter 2, Problem 29RP

Chapter 2 Solutions

Geometry For Enjoyment And Challenge

Ch. 2.1 - Prob. 1PSACh. 2.1 - Prob. 2PSACh. 2.1 - Prob. 3PSACh. 2.1 - Prob. 4PSACh. 2.1 - Prob. 5PSACh. 2.1 - Prob. 6PSACh. 2.1 - Prob. 7PSACh. 2.1 - Prob. 8PSACh. 2.1 - Prob. 9PSACh. 2.1 - Prob. 10PSA
Ch. 2.1 - Prob. 11PSBCh. 2.1 - Prob. 12PSBCh. 2.1 - Prob. 13PSBCh. 2.1 - Prob. 14PSCCh. 2.1 - Prob. 15PSCCh. 2.2 - Prob. 1PSACh. 2.2 - Prob. 2PSACh. 2.2 - Prob. 3PSACh. 2.2 - Prob. 4PSACh. 2.2 - Prob. 5PSACh. 2.2 - Prob. 6PSACh. 2.2 - Prob. 7PSACh. 2.2 - Prob. 8PSACh. 2.2 - Prob. 9PSACh. 2.2 - Prob. 10PSACh. 2.2 - Prob. 11PSACh. 2.2 - Prob. 12PSBCh. 2.2 - Prob. 13PSBCh. 2.2 - Prob. 14PSBCh. 2.2 - Prob. 15PSBCh. 2.2 - Prob. 16PSBCh. 2.2 - Prob. 17PSBCh. 2.2 - Prob. 18PSBCh. 2.2 - Prob. 19PSBCh. 2.2 - Prob. 20PSBCh. 2.2 - Prob. 21PSBCh. 2.2 - Prob. 22PSBCh. 2.2 - Prob. 23PSBCh. 2.2 - Prob. 24PSBCh. 2.2 - Prob. 25PSCCh. 2.2 - Prob. 26PSCCh. 2.3 - Prob. 1PSACh. 2.3 - Prob. 2PSACh. 2.3 - Prob. 3PSACh. 2.3 - Prob. 4PSACh. 2.3 - Prob. 5PSACh. 2.3 - Prob. 6PSACh. 2.3 - Prob. 7PSACh. 2.3 - Prob. 8PSACh. 2.3 - Prob. 9PSBCh. 2.3 - Prob. 10PSBCh. 2.3 - Prob. 11PSBCh. 2.3 - Prob. 12PSBCh. 2.3 - Prob. 13PSCCh. 2.3 - Prob. 14PSCCh. 2.4 - Prob. 1PSACh. 2.4 - Prob. 2PSACh. 2.4 - Prob. 3PSACh. 2.4 - Prob. 4PSACh. 2.4 - Prob. 5PSACh. 2.4 - Prob. 6PSACh. 2.4 - Prob. 7PSACh. 2.4 - Prob. 8PSACh. 2.4 - Prob. 9PSACh. 2.4 - Prob. 10PSBCh. 2.4 - Prob. 11PSBCh. 2.4 - Prob. 12PSBCh. 2.4 - Prob. 13PSBCh. 2.4 - Prob. 14PSBCh. 2.4 - Prob. 15PSBCh. 2.4 - Prob. 16PSBCh. 2.4 - Prob. 17PSBCh. 2.4 - Prob. 18PSBCh. 2.4 - Prob. 19PSBCh. 2.4 - Prob. 20PSCCh. 2.4 - Prob. 21PSCCh. 2.5 - Prob. 1PSACh. 2.5 - Prob. 2PSACh. 2.5 - Prob. 3PSACh. 2.5 - Prob. 4PSACh. 2.5 - Prob. 5PSACh. 2.5 - Prob. 6PSACh. 2.5 - Prob. 7PSACh. 2.5 - Prob. 8PSACh. 2.5 - Prob. 9PSACh. 2.5 - Prob. 10PSACh. 2.5 - Prob. 11PSBCh. 2.5 - Prob. 12PSBCh. 2.5 - Prob. 13PSBCh. 2.5 - Prob. 14PSBCh. 2.5 - Prob. 15PSBCh. 2.5 - Prob. 16PSBCh. 2.5 - Prob. 17PSCCh. 2.5 - Prob. 18PSCCh. 2.5 - Prob. 19PSCCh. 2.6 - Prob. 1PSACh. 2.6 - Prob. 2PSACh. 2.6 - Prob. 3PSACh. 2.6 - Prob. 4PSACh. 2.6 - Prob. 5PSACh. 2.6 - Prob. 6PSACh. 2.6 - Prob. 7PSACh. 2.6 - Prob. 8PSACh. 2.6 - Prob. 9PSACh. 2.6 - Prob. 10PSACh. 2.6 - Prob. 11PSBCh. 2.6 - Prob. 12PSBCh. 2.6 - Prob. 13PSBCh. 2.6 - Prob. 14PSBCh. 2.6 - Prob. 15PSCCh. 2.6 - Prob. 16PSCCh. 2.7 - Prob. 1PSACh. 2.7 - Prob. 2PSACh. 2.7 - Prob. 3PSACh. 2.7 - Prob. 4PSACh. 2.7 - Prob. 5PSACh. 2.7 - Prob. 6PSACh. 2.7 - Prob. 7PSACh. 2.7 - Prob. 8PSACh. 2.7 - Prob. 9PSACh. 2.7 - Prob. 10PSBCh. 2.7 - Prob. 11PSBCh. 2.7 - Prob. 12PSBCh. 2.7 - Prob. 13PSBCh. 2.7 - Prob. 14PSBCh. 2.7 - Prob. 15PSBCh. 2.7 - Prob. 16PSCCh. 2.7 - Prob. 17PSCCh. 2.7 - Prob. 18PSDCh. 2.7 - Prob. 19PSDCh. 2.7 - Prob. 20PSDCh. 2.8 - Prob. 1PSACh. 2.8 - Prob. 2PSACh. 2.8 - Prob. 3PSACh. 2.8 - Prob. 4PSACh. 2.8 - Prob. 5PSACh. 2.8 - Prob. 6PSACh. 2.8 - Prob. 7PSACh. 2.8 - Prob. 8PSACh. 2.8 - Prob. 9PSBCh. 2.8 - Prob. 10PSBCh. 2.8 - Prob. 11PSBCh. 2.8 - Prob. 12PSBCh. 2.8 - Prob. 13PSBCh. 2.8 - Prob. 14PSBCh. 2.8 - Prob. 15PSCCh. 2 - Prob. 1RPCh. 2 - Prob. 2RPCh. 2 - Prob. 3RPCh. 2 - Prob. 4RPCh. 2 - Prob. 5RPCh. 2 - Prob. 6RPCh. 2 - Prob. 7RPCh. 2 - Prob. 8RPCh. 2 - Prob. 9RPCh. 2 - Prob. 10RPCh. 2 - Prob. 11RPCh. 2 - Prob. 12RPCh. 2 - Prob. 13RPCh. 2 - Prob. 14RPCh. 2 - Prob. 15RPCh. 2 - Prob. 16RPCh. 2 - Prob. 17RPCh. 2 - Prob. 18RPCh. 2 - Prob. 19RPCh. 2 - Prob. 20RPCh. 2 - Prob. 21RPCh. 2 - Prob. 22RPCh. 2 - Prob. 23RPCh. 2 - Prob. 24RPCh. 2 - Prob. 25RPCh. 2 - Prob. 26RPCh. 2 - Prob. 27RPCh. 2 - Prob. 28RPCh. 2 - Prob. 29RPCh. 2 - Prob. 30RPCh. 2 - Prob. 31RPCh. 2 - Prob. 32RPCh. 2 - Prob. 33RPCh. 2 - Prob. 34RPCh. 2 - Prob. 35RPCh. 2 - Prob. 36RPCh. 2 - Prob. 37RPCh. 2 - Prob. 38RP

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