McDougal Littell Jurgensen Geometry: Student Edition Geometry
5th Edition
ISBN: 9780395977279
Author: Ray C. Jurgensen, Richard G. Brown, John W. Jurgensen
Publisher: Houghton Mifflin Company College Division
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Question
Chapter 1.4, Problem 35WE
(a)
To determine
To find: The number of rays and
(a)
Expert Solution
Answer to Problem 35WE
The figure (c) has 6 angles and figure (d) has 10 angles.
Explanation of Solution
Given information:
The given figure can be named as:
Formula used:
Property of Non collinear rays.
Calculation:
As it can be seen from the above figure it can be observe that figure (c) has 4 rays and 6 angle that is,
Similarly figure (d) has 5 rays and 10 angles that is,
Therefore, the figure (c) has 6 angles and figure (d) has 10 angles.
Conclusion:
The figure (c) has 6 angles and figure (d) has 10 angles.
(b)
To determine
To get: The number of angles formed by six non collinear rays that have the same end point.
(b)
Expert Solution
Answer to Problem 35WE
It can be predicted that six non collinear rays having same end point will have 15 angles.
Explanation of Solution
Given information:
The given figure can be named as:
Formula used:
Property of Non collinear rays.
Calculation:
As it can be seen from the above figure it can be observe that angles are increasing in a particular pattern with the increase in no of rays.
From the first to last figure as rays are increasing with the difference of one, the angles are increasing with difference of 2, 3 and 4.
Therefore, it can be predicted that six non collinear rays having same end point will have 15 angles.
Conclusion:
It can be predicted that six non collinear rays having same end point will have 15 angles.
(c)
To determine
To find:The expression that gives the number of angles formed by nnon collinear rays that have the same endpoint.
(c)
Expert Solution
Answer to Problem 35WE
The general expression for the number of angles formed by n rays having same endpoint is
Explanation of Solution
Given information:
The given figure can be named as:
Formula used:
Non collinear rays is used
Calculation:
From the above figure it can be observe that the angles are increasing in a particular order.
Thus the general expression for the number of angles formed by n rays having same endpoint is
This can be verified by substituting various values such as 1, 2, ….
Conclusion:
The general expression for the number of angles formed by n rays having same endpoint is
Chapter 1 Solutions
McDougal Littell Jurgensen Geometry: Student Edition Geometry
Ch. 1.1 - Prob. 1CECh. 1.1 - Prob. 2CECh. 1.1 - Prob. 3CECh. 1.1 - Prob. 4CECh. 1.1 - Prob. 5CECh. 1.1 - Prob. 6CECh. 1.1 - Prob. 7CECh. 1.1 - Prob. 8CECh. 1.1 - Prob. 1WECh. 1.1 - Prob. 2WE
Ch. 1.1 - Prob. 3WECh. 1.1 - Prob. 4WECh. 1.1 - Prob. 5WECh. 1.1 - Prob. 6WECh. 1.1 - Prob. 7WECh. 1.1 - Prob. 8WECh. 1.1 - Prob. 9WECh. 1.1 - Prob. 10WECh. 1.2 - Prob. 1CECh. 1.2 - Prob. 2CECh. 1.2 - Prob. 3CECh. 1.2 - Prob. 4CECh. 1.2 - Prob. 5CECh. 1.2 - Prob. 6CECh. 1.2 - Prob. 7CECh. 1.2 - Prob. 8CECh. 1.2 - Prob. 9CECh. 1.2 - Prob. 10CECh. 1.2 - Prob. 11CECh. 1.2 - Prob. 12CECh. 1.2 - Prob. 13CECh. 1.2 - Prob. 14CECh. 1.2 - Prob. 15CECh. 1.2 - Prob. 16CECh. 1.2 - Prob. 17CECh. 1.2 - Prob. 18CECh. 1.2 - Prob. 19CECh. 1.2 - Prob. 20CECh. 1.2 - Prob. 1WECh. 1.2 - Prob. 2WECh. 1.2 - Prob. 3WECh. 1.2 - Prob. 4WECh. 1.2 - Prob. 5WECh. 1.2 - Prob. 6WECh. 1.2 - Prob. 7WECh. 1.2 - Prob. 8WECh. 1.2 - Prob. 9WECh. 1.2 - Prob. 10WECh. 1.2 - Prob. 11WECh. 1.2 - Prob. 12WECh. 1.2 - Prob. 13WECh. 1.2 - Prob. 14WECh. 1.2 - Prob. 15WECh. 1.2 - Prob. 16WECh. 1.2 - Prob. 17WECh. 1.2 - Prob. 18WECh. 1.2 - Prob. 19WECh. 1.2 - Prob. 20WECh. 1.2 - Prob. 21WECh. 1.2 - Prob. 22WECh. 1.2 - Prob. 23WECh. 1.2 - Prob. 24WECh. 1.2 - Prob. 25WECh. 1.2 - Prob. 26WECh. 1.2 - Prob. 27WECh. 1.2 - Prob. 28WECh. 1.2 - Prob. 29WECh. 1.2 - Prob. 30WECh. 1.2 - Prob. 31WECh. 1.2 - Prob. 32WECh. 1.2 - Prob. 33WECh. 1.2 - Prob. 34WECh. 1.2 - Prob. 35WECh. 1.2 - Prob. 36WECh. 1.2 - Prob. 1ST1Ch. 1.2 - Prob. 2ST1Ch. 1.2 - Prob. 3ST1Ch. 1.2 - Prob. 4ST1Ch. 1.2 - Prob. 5ST1Ch. 1.2 - Prob. 6ST1Ch. 1.2 - Prob. 7ST1Ch. 1.2 - Prob. 1ARCh. 1.2 - Prob. 2ARCh. 1.2 - Prob. 3ARCh. 1.2 - Prob. 4ARCh. 1.2 - Prob. 5ARCh. 1.2 - Prob. 6ARCh. 1.2 - Prob. 7ARCh. 1.2 - Prob. 8ARCh. 1.2 - Prob. 9ARCh. 1.2 - Prob. 10ARCh. 1.2 - Prob. 11ARCh. 1.2 - Prob. 12ARCh. 1.2 - Prob. 13ARCh. 1.2 - Prob. 14ARCh. 1.2 - Prob. 15ARCh. 1.2 - Prob. 16ARCh. 1.2 - Prob. 17ARCh. 1.2 - Prob. 18ARCh. 1.2 - Prob. 19ARCh. 1.2 - Prob. 20ARCh. 1.2 - Prob. 21ARCh. 1.2 - Prob. 22ARCh. 1.2 - Prob. 23ARCh. 1.2 - Prob. 24ARCh. 1.2 - Prob. 25ARCh. 1.2 - Prob. 26ARCh. 1.2 - Prob. 27ARCh. 1.2 - Prob. 28ARCh. 1.2 - Prob. 29ARCh. 1.2 - Prob. 30ARCh. 1.2 - Prob. 31ARCh. 1.2 - Prob. 32ARCh. 1.2 - Prob. 33ARCh. 1.2 - Prob. 34ARCh. 1.2 - Prob. 35ARCh. 1.2 - Prob. 36ARCh. 1.2 - Prob. 37ARCh. 1.2 - Prob. 38ARCh. 1.2 - Prob. 39ARCh. 1.2 - Prob. 40ARCh. 1.2 - Prob. 41ARCh. 1.2 - Prob. 42ARCh. 1.2 - Prob. 43ARCh. 1.2 - Prob. 44ARCh. 1.2 - Prob. 45ARCh. 1.2 - Prob. 46ARCh. 1.3 - Prob. 1CECh. 1.3 - Prob. 2CECh. 1.3 - Prob. 3CECh. 1.3 - Prob. 4CECh. 1.3 - Prob. 5CECh. 1.3 - Prob. 6CECh. 1.3 - Prob. 7CECh. 1.3 - Prob. 8CECh. 1.3 - Prob. 9CECh. 1.3 - Prob. 10CECh. 1.3 - Prob. 11CECh. 1.3 - Prob. 12CECh. 1.3 - Prob. 13CECh. 1.3 - Prob. 14CECh. 1.3 - Prob. 15CECh. 1.3 - Prob. 16CECh. 1.3 - Prob. 17CECh. 1.3 - Prob. 18CECh. 1.3 - Prob. 19CECh. 1.3 - Prob. 20CECh. 1.3 - Prob. 21CECh. 1.3 - Prob. 22CECh. 1.3 - Prob. 23CECh. 1.3 - Prob. 24CECh. 1.3 - Prob. 25CECh. 1.3 - Prob. 26CECh. 1.3 - Prob. 1WECh. 1.3 - Prob. 2WECh. 1.3 - Prob. 3WECh. 1.3 - Prob. 4WECh. 1.3 - Prob. 5WECh. 1.3 - Prob. 6WECh. 1.3 - Prob. 7WECh. 1.3 - Prob. 8WECh. 1.3 - Prob. 9WECh. 1.3 - Prob. 10WECh. 1.3 - Prob. 11WECh. 1.3 - Prob. 12WECh. 1.3 - Prob. 13WECh. 1.3 - Prob. 14WECh. 1.3 - Prob. 15WECh. 1.3 - Prob. 16WECh. 1.3 - Prob. 17WECh. 1.3 - Prob. 18WECh. 1.3 - Prob. 19WECh. 1.3 - Prob. 20WECh. 1.3 - Prob. 21WECh. 1.3 - Prob. 22WECh. 1.3 - Prob. 23WECh. 1.3 - Prob. 24WECh. 1.3 - Prob. 25WECh. 1.3 - Prob. 26WECh. 1.3 - Prob. 27WECh. 1.3 - Prob. 28WECh. 1.3 - Prob. 29WECh. 1.3 - Prob. 30WECh. 1.3 - Prob. 31WECh. 1.3 - Prob. 32WECh. 1.3 - Prob. 33WECh. 1.3 - Prob. 34WECh. 1.3 - Prob. 35WECh. 1.3 - Prob. 36WECh. 1.3 - Prob. 37WECh. 1.3 - Prob. 38WECh. 1.3 - Prob. 39WECh. 1.3 - Prob. 40WECh. 1.3 - Prob. 41WECh. 1.3 - Prob. 42WECh. 1.3 - Prob. 43WECh. 1.3 - Prob. 44WECh. 1.3 - Prob. 45WECh. 1.3 - Prob. 46WECh. 1.3 - Prob. 47WECh. 1.3 - Prob. 48WECh. 1.4 - Prob. 1CECh. 1.4 - Prob. 2CECh. 1.4 - Prob. 3CECh. 1.4 - Prob. 4CECh. 1.4 - Prob. 5CECh. 1.4 - Prob. 6CECh. 1.4 - Prob. 7CECh. 1.4 - Prob. 8CECh. 1.4 - Prob. 9CECh. 1.4 - Prob. 10CECh. 1.4 - Prob. 11CECh. 1.4 - Prob. 12CECh. 1.4 - Prob. 13CECh. 1.4 - Prob. 14CECh. 1.4 - Prob. 15CECh. 1.4 - Prob. 16CECh. 1.4 - Prob. 17CECh. 1.4 - Prob. 18CECh. 1.4 - Prob. 19CECh. 1.4 - Prob. 20CECh. 1.4 - Prob. 21CECh. 1.4 - Prob. 22CECh. 1.4 - Prob. 23CECh. 1.4 - Prob. 24CECh. 1.4 - Prob. 25CECh. 1.4 - Prob. 26CECh. 1.4 - Prob. 27CECh. 1.4 - Prob. 28CECh. 1.4 - Prob. 29CECh. 1.4 - Prob. 30CECh. 1.4 - Prob. 31CECh. 1.4 - Prob. 32CECh. 1.4 - Prob. 33CECh. 1.4 - Prob. 34CECh. 1.4 - Prob. 35CECh. 1.4 - Prob. 36CECh. 1.4 - Prob. 37CECh. 1.4 - Prob. 38CECh. 1.4 - Prob. 1WECh. 1.4 - Prob. 2WECh. 1.4 - Prob. 3WECh. 1.4 - Prob. 4WECh. 1.4 - Prob. 5WECh. 1.4 - Prob. 6WECh. 1.4 - Prob. 7WECh. 1.4 - Prob. 8WECh. 1.4 - Prob. 9WECh. 1.4 - Prob. 10WECh. 1.4 - Prob. 11WECh. 1.4 - Prob. 12WECh. 1.4 - Prob. 13WECh. 1.4 - Prob. 14WECh. 1.4 - Prob. 15WECh. 1.4 - Prob. 16WECh. 1.4 - Prob. 17WECh. 1.4 - Prob. 18WECh. 1.4 - Prob. 19WECh. 1.4 - Prob. 20WECh. 1.4 - Prob. 21WECh. 1.4 - Prob. 22WECh. 1.4 - Prob. 23WECh. 1.4 - Prob. 24WECh. 1.4 - Prob. 25WECh. 1.4 - Prob. 26WECh. 1.4 - Prob. 27WECh. 1.4 - Prob. 28WECh. 1.4 - Prob. 29WECh. 1.4 - Prob. 30WECh. 1.4 - Prob. 31WECh. 1.4 - Prob. 32WECh. 1.4 - Prob. 33WECh. 1.4 - Prob. 34WECh. 1.4 - Prob. 35WECh. 1.4 - Prob. 36WECh. 1.5 - Prob. 1CECh. 1.5 - Prob. 2CECh. 1.5 - Prob. 3CECh. 1.5 - Prob. 4CECh. 1.5 - Prob. 5CECh. 1.5 - Prob. 6CECh. 1.5 - Prob. 7CECh. 1.5 - Prob. 8CECh. 1.5 - Prob. 9CECh. 1.5 - Prob. 10CECh. 1.5 - Prob. 11CECh. 1.5 - Prob. 12CECh. 1.5 - Prob. 13CECh. 1.5 - Prob. 14CECh. 1.5 - Prob. 15CECh. 1.5 - Prob. 16CECh. 1.5 - Prob. 1WECh. 1.5 - Prob. 2WECh. 1.5 - Prob. 3WECh. 1.5 - Prob. 4WECh. 1.5 - Prob. 5WECh. 1.5 - Prob. 6WECh. 1.5 - Prob. 7WECh. 1.5 - Prob. 8WECh. 1.5 - Prob. 9WECh. 1.5 - Prob. 10WECh. 1.5 - Prob. 11WECh. 1.5 - Prob. 12WECh. 1.5 - Prob. 13WECh. 1.5 - Prob. 14WECh. 1.5 - Prob. 15WECh. 1.5 - Prob. 16WECh. 1.5 - Prob. 17WECh. 1.5 - Prob. 18WECh. 1.5 - Prob. 19WECh. 1.5 - Prob. 20WECh. 1.5 - Prob. 1ECh. 1.5 - Prob. 2ECh. 1.5 - Prob. 3ECh. 1.5 - Prob. 4ECh. 1.5 - Prob. 5ECh. 1.5 - Prob. 6ECh. 1.5 - Prob. 1ST2Ch. 1.5 - Prob. 2ST2Ch. 1.5 - Prob. 3ST2Ch. 1.5 - Prob. 4ST2Ch. 1.5 - Prob. 5ST2Ch. 1.5 - Prob. 6ST2Ch. 1.5 - Prob. 7ST2Ch. 1.5 - Prob. 8ST2Ch. 1.5 - Prob. 9ST2Ch. 1.5 - Prob. 10ST2Ch. 1.5 - Prob. 11ST2Ch. 1.5 - Prob. 12ST2Ch. 1 - Prob. 1CRCh. 1 - Prob. 2CRCh. 1 - Prob. 3CRCh. 1 - Prob. 4CRCh. 1 - Prob. 5CRCh. 1 - Prob. 6CRCh. 1 - Prob. 7CRCh. 1 - Prob. 8CRCh. 1 - Prob. 9CRCh. 1 - Prob. 10CRCh. 1 - Prob. 11CRCh. 1 - Prob. 12CRCh. 1 - Prob. 13CRCh. 1 - Prob. 14CRCh. 1 - Prob. 15CRCh. 1 - Prob. 16CRCh. 1 - Prob. 17CRCh. 1 - Prob. 18CRCh. 1 - Prob. 19CRCh. 1 - Prob. 20CRCh. 1 - Prob. 1CTCh. 1 - Prob. 2CTCh. 1 - Prob. 3CTCh. 1 - Prob. 4CTCh. 1 - Prob. 5CTCh. 1 - Prob. 6CTCh. 1 - Prob. 7CTCh. 1 - Prob. 8CTCh. 1 - Prob. 9CTCh. 1 - Prob. 10CTCh. 1 - Prob. 11CTCh. 1 - Prob. 12CTCh. 1 - Prob. 13CTCh. 1 - Prob. 14CTCh. 1 - Prob. 15CTCh. 1 - Prob. 16CTCh. 1 - Prob. 17CTCh. 1 - Prob. 18CTCh. 1 - Prob. 19CTCh. 1 - Prob. 20CTCh. 1 - Prob. 21CTCh. 1 - Prob. 22CTCh. 1 - Prob. 23CTCh. 1 - Prob. 24CT
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