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High School Math Geometry Geometry, Student Edition

Determine whether the given statement is still true if the lines are not coplanar.

Determine whether the given statement is still true if the lines are not coplanar.

Geometry, Student Edition

Geometry, Student Edition

1st Edition

ISBN: 9780078884849

Author: McGraw-Hill, McGraw Hill

Publisher: Glencoe/McGraw-Hill School Pub Co

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Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on …

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Question

Chapter 3.5, Problem 38HP

To determine

Determine whether the given statement is still true if the lines are not coplanar.

Expert Solution & Answer

Explanation of Solution

Given:

Perpendicular Transversal Converse Theorem:

In a plane , if two lines are perpendicular to the same line , then they are parallel.

Calculation :

Consider the diagram :

Geometry, Student Edition, Chapter 3.5, Problem 38HP

Given :

R and S are different planes (not necessarily parallel) and l and m are lines in planes R and S respectively such that :

l⊥t and m⊥t

To Prove : l∥m

Clearly , since the two lines are perpendicular to the same line , they are parallel .

Hence the given statement holds even if the lines are not coplanar.

Chapter 3.5, Problem 37HP

Chapter 3.5, Problem 39HP

Chapter 3 Solutions

Geometry, Student Edition

Ch. 3.1 - Prob. 1ACYP Ch. 3.1 - Prob. 1BCYP Ch. 3.1 - Prob. 1CCYP Ch. 3.1 - Prob. 2ACYP Ch. 3.1 - Prob. 2BCYP Ch. 3.1 - Prob. 2CCYP Ch. 3.1 - Prob. 2DCYP Ch. 3.1 - Prob. 3ACYP Ch. 3.1 - Prob. 3BCYP Ch. 3.1 - Prob. 3CCYP

Ch. 3.1 - Prob. 3DCYP Ch. 3.1 - Prob. 1CYU Ch. 3.1 - Prob. 2CYU Ch. 3.1 - Prob. 3CYU Ch. 3.1 - Prob. 4CYU Ch. 3.1 - Prob. 5CYU Ch. 3.1 - Prob. 6CYU Ch. 3.1 - Prob. 7CYU Ch. 3.1 - Prob. 8CYU Ch. 3.1 - Prob. 9CYU Ch. 3.1 - Prob. 10CYU Ch. 3.1 - Prob. 11CYU Ch. 3.1 - Prob. 12CYU Ch. 3.1 - Prob. 13PPS Ch. 3.1 - Prob. 14PPS Ch. 3.1 - Prob. 15PPS Ch. 3.1 - Prob. 16PPS Ch. 3.1 - Prob. 17PPS Ch. 3.1 - Prob. 18PPS Ch. 3.1 - Prob. 19PPS Ch. 3.1 - Prob. 20PPS Ch. 3.1 - Prob. 21PPS Ch. 3.1 - Prob. 22PPS Ch. 3.1 - Prob. 23PPS Ch. 3.1 - Prob. 24PPS Ch. 3.1 - Prob. 25PPS Ch. 3.1 - Prob. 26PPS Ch. 3.1 - Prob. 27PPS Ch. 3.1 - Prob. 28PPS Ch. 3.1 - Prob. 29PPS Ch. 3.1 - Prob. 30PPS Ch. 3.1 - Prob. 31PPS Ch. 3.1 - Prob. 32PPS Ch. 3.1 - Prob. 33PPS Ch. 3.1 - Prob. 34PPS Ch. 3.1 - Prob. 35PPS Ch. 3.1 - Prob. 36PPS Ch. 3.1 - Prob. 37PPS Ch. 3.1 - Prob. 38PPS Ch. 3.1 - Prob. 39PPS Ch. 3.1 - Prob. 40PPS Ch. 3.1 - Prob. 41PPS Ch. 3.1 - Prob. 42PPS Ch. 3.1 - Prob. 43PPS Ch. 3.1 - Prob. 44PPS Ch. 3.1 - Prob. 45PPS Ch. 3.1 - Prob. 46HP Ch. 3.1 - Prob. 47HP Ch. 3.1 - Prob. 48HP Ch. 3.1 - Prob. 49HP Ch. 3.1 - Prob. 50HP Ch. 3.1 - Prob. 51STP Ch. 3.1 - Prob. 52STP Ch. 3.1 - Prob. 53STP Ch. 3.1 - Prob. 54STP Ch. 3.1 - Prob. 55SPR Ch. 3.1 - Prob. 56SPR Ch. 3.1 - Prob. 57SPR Ch. 3.1 - Prob. 58SPR Ch. 3.1 - Prob. 59SPR Ch. 3.1 - Prob. 60SPR Ch. 3.1 - Prob. 61SR Ch. 3.1 - Prob. 62SR Ch. 3.1 - Prob. 63SR Ch. 3.2 - Prob. 1ACYP Ch. 3.2 - Prob. 1BCYP Ch. 3.2 - Prob. 1CCYP Ch. 3.2 - Prob. 2ACYP Ch. 3.2 - Prob. 2BCYP Ch. 3.2 - Prob. 3ACYP Ch. 3.2 - Prob. 3BCYP Ch. 3.2 - Prob. 1CYU Ch. 3.2 - Prob. 2CYU Ch. 3.2 - Prob. 3CYU Ch. 3.2 - Prob. 4CYU Ch. 3.2 - Prob. 5CYU Ch. 3.2 - Prob. 6CYU Ch. 3.2 - Prob. 7CYU Ch. 3.2 - Prob. 8CYU Ch. 3.2 - Prob. 9CYU Ch. 3.2 - Prob. 10CYU Ch. 3.2 - Prob. 11PPS Ch. 3.2 - Prob. 12PPS Ch. 3.2 - Prob. 13PPS Ch. 3.2 - Prob. 14PPS Ch. 3.2 - Prob. 15PPS Ch. 3.2 - Prob. 16PPS Ch. 3.2 - Prob. 17PPS Ch. 3.2 - Prob. 18PPS Ch. 3.2 - Prob. 19PPS Ch. 3.2 - Prob. 20PPS Ch. 3.2 - Prob. 21PPS Ch. 3.2 - Prob. 22PPS Ch. 3.2 - Prob. 23PPS Ch. 3.2 - Prob. 24PPS Ch. 3.2 - Prob. 25PPS Ch. 3.2 - Prob. 26PPS Ch. 3.2 - Prob. 27PPS Ch. 3.2 - Prob. 28PPS Ch. 3.2 - Prob. 29PPS Ch. 3.2 - Prob. 30PPS Ch. 3.2 - Prob. 31PPS Ch. 3.2 - Prob. 32PPS Ch. 3.2 - Prob. 33PPS Ch. 3.2 - Prob. 34PPS Ch. 3.2 - Prob. 35PPS Ch. 3.2 - Prob. 36PPS Ch. 3.2 - Prob. 37PPS Ch. 3.2 - Prob. 38PPS Ch. 3.2 - Prob. 39PPS Ch. 3.2 - Prob. 40PPS Ch. 3.2 - Prob. 41PPS Ch. 3.2 - Prob. 42HP Ch. 3.2 - Prob. 43HP Ch. 3.2 - Prob. 44HP Ch. 3.2 - Prob. 45HP Ch. 3.2 - Prob. 46HP Ch. 3.2 - Prob. 47STP Ch. 3.2 - Prob. 48STP Ch. 3.2 - Prob. 49STP Ch. 3.2 - Prob. 50STP Ch. 3.2 - Prob. 51SPR Ch. 3.2 - Prob. 52SPR Ch. 3.2 - Prob. 53SPR Ch. 3.2 - Prob. 54SPR Ch. 3.2 - Prob. 55SPR Ch. 3.2 - Prob. 56SR Ch. 3.2 - Prob. 57SR Ch. 3.2 - Prob. 58SR Ch. 3.2 - Prob. 59SR Ch. 3.2 - Prob. 60SR Ch. 3.2 - Prob. 61SR Ch. 3.3 - Prob. 1ACYP Ch. 3.3 - Prob. 1BCYP Ch. 3.3 - Prob. 1CCYP Ch. 3.3 - Prob. 1DCYP Ch. 3.3 - Prob. 2CYP Ch. 3.3 - Prob. 3ACYP Ch. 3.3 - Prob. 3BCYP Ch. 3.3 - Prob. 4CYP Ch. 3.3 - Prob. 1CYU Ch. 3.3 - Prob. 2CYU Ch. 3.3 - Prob. 3CYU Ch. 3.3 - Prob. 4CYU Ch. 3.3 - Prob. 5CYU Ch. 3.3 - Prob. 6CYU Ch. 3.3 - Prob. 7CYU Ch. 3.3 - Prob. 8CYU Ch. 3.3 - Prob. 9CYU Ch. 3.3 - Prob. 10CYU Ch. 3.3 - Prob. 11CYU Ch. 3.3 - Prob. 12PPS Ch. 3.3 - Prob. 13PPS Ch. 3.3 - Prob. 14PPS Ch. 3.3 - Prob. 15PPS Ch. 3.3 - Prob. 16PPS Ch. 3.3 - Prob. 17PPS Ch. 3.3 - Prob. 18PPS Ch. 3.3 - Prob. 19PPS Ch. 3.3 - Prob. 20PPS Ch. 3.3 - Prob. 21PPS Ch. 3.3 - Prob. 22PPS Ch. 3.3 - Prob. 23PPS Ch. 3.3 - Prob. 24PPS Ch. 3.3 - Prob. 25PPS Ch. 3.3 - Prob. 26PPS Ch. 3.3 - Prob. 27PPS Ch. 3.3 - Prob. 28PPS Ch. 3.3 - Prob. 29PPS Ch. 3.3 - Prob. 30PPS Ch. 3.3 - Prob. 31PPS Ch. 3.3 - Prob. 32PPS Ch. 3.3 - Prob. 33PPS Ch. 3.3 - Prob. 34PPS Ch. 3.3 - Prob. 35PPS Ch. 3.3 - Prob. 36PPS Ch. 3.3 - Prob. 37PPS Ch. 3.3 - Prob. 38PPS Ch. 3.3 - Prob. 39PPS Ch. 3.3 - Prob. 40PPS Ch. 3.3 - Prob. 41PPS Ch. 3.3 - Prob. 42PPS Ch. 3.3 - Prob. 43PPS Ch. 3.3 - Prob. 44PPS Ch. 3.3 - Prob. 45PPS Ch. 3.3 - Prob. 46PPS Ch. 3.3 - Prob. 47PPS Ch. 3.3 - Prob. 48PPS Ch. 3.3 - Prob. 49PPS Ch. 3.3 - Prob. 50PPS Ch. 3.3 - Prob. 51PPS Ch. 3.3 - Prob. 52HP Ch. 3.3 - Prob. 53HP Ch. 3.3 - Prob. 54HP Ch. 3.3 - Prob. 55HP Ch. 3.3 - Prob. 56HP Ch. 3.3 - Prob. 57HP Ch. 3.3 - Prob. 58STP Ch. 3.3 - Prob. 59STP Ch. 3.3 - Prob. 60STP Ch. 3.3 - Prob. 61STP Ch. 3.3 - Prob. 62SPR Ch. 3.3 - Prob. 63SPR Ch. 3.3 - Prob. 64SPR Ch. 3.3 - Prob. 65SPR Ch. 3.3 - Prob. 66SPR Ch. 3.3 - Prob. 67SPR Ch. 3.3 - Prob. 68SPR Ch. 3.3 - Prob. 69SPR Ch. 3.3 - Prob. 70SPR Ch. 3.3 - Prob. 71SPR Ch. 3.3 - Prob. 72SR Ch. 3.3 - Prob. 73SR Ch. 3.3 - Prob. 74SR Ch. 3.4 - Prob. 1CYP Ch. 3.4 - Prob. 2CYP Ch. 3.4 - Prob. 3ACYP Ch. 3.4 - Prob. 3BCYP Ch. 3.4 - Prob. 4CYP Ch. 3.4 - Prob. 5CYP Ch. 3.4 - Prob. 6CYP Ch. 3.4 - Prob. 1CYU Ch. 3.4 - Prob. 2CYU Ch. 3.4 - Prob. 3CYU Ch. 3.4 - Prob. 4CYU Ch. 3.4 - Prob. 5CYU Ch. 3.4 - Prob. 6CYU Ch. 3.4 - Prob. 7CYU Ch. 3.4 - Prob. 8CYU Ch. 3.4 - Prob. 9CYU Ch. 3.4 - Prob. 10CYU Ch. 3.4 - Prob. 11CYU Ch. 3.4 - Prob. 12CYU Ch. 3.4 - Prob. 13PPS Ch. 3.4 - Prob. 14PPS Ch. 3.4 - Prob. 15PPS Ch. 3.4 - Prob. 16PPS Ch. 3.4 - Prob. 17PPS Ch. 3.4 - Prob. 18PPS Ch. 3.4 - Prob. 19PPS Ch. 3.4 - Prob. 20PPS Ch. 3.4 - Prob. 21PPS Ch. 3.4 - Prob. 22PPS Ch. 3.4 - Prob. 23PPS Ch. 3.4 - Prob. 24PPS Ch. 3.4 - Prob. 25PPS Ch. 3.4 - Prob. 26PPS Ch. 3.4 - Prob. 27PPS Ch. 3.4 - Prob. 28PPS Ch. 3.4 - Prob. 29PPS Ch. 3.4 - Prob. 30PPS Ch. 3.4 - Prob. 31PPS Ch. 3.4 - Prob. 32PPS Ch. 3.4 - Prob. 33PPS Ch. 3.4 - Prob. 34PPS Ch. 3.4 - Prob. 35PPS Ch. 3.4 - Prob. 36PPS Ch. 3.4 - Prob. 37PPS Ch. 3.4 - Prob. 38PPS Ch. 3.4 - Prob. 39PPS Ch. 3.4 - Prob. 40PPS Ch. 3.4 - Prob. 41PPS Ch. 3.4 - Prob. 42PPS Ch. 3.4 - Prob. 43PPS Ch. 3.4 - Prob. 44PPS Ch. 3.4 - Prob. 45PPS Ch. 3.4 - Prob. 46PPS Ch. 3.4 - Prob. 47PPS Ch. 3.4 - Prob. 48PPS Ch. 3.4 - Prob. 49PPS Ch. 3.4 - Prob. 50PPS Ch. 3.4 - Prob. 51PPS Ch. 3.4 - Prob. 52PPS Ch. 3.4 - Prob. 53PPS Ch. 3.4 - Prob. 54PPS Ch. 3.4 - Prob. 55HP Ch. 3.4 - Prob. 56HP Ch. 3.4 - Prob. 57HP Ch. 3.4 - Prob. 58HP Ch. 3.4 - Prob. 59HP Ch. 3.4 - Prob. 60STP Ch. 3.4 - Prob. 61STP Ch. 3.4 - Prob. 62STP Ch. 3.4 - Prob. 63STP Ch. 3.4 - Prob. 64SPR Ch. 3.4 - Prob. 65SPR Ch. 3.4 - Prob. 66SPR Ch. 3.4 - Prob. 67SPR Ch. 3.4 - Prob. 68SPR Ch. 3.4 - Prob. 69SPR Ch. 3.4 - Prob. 70SR Ch. 3.4 - Prob. 71SR Ch. 3.4 - Prob. 72SR Ch. 3.4 - Prob. 73SR Ch. 3.5 - Prob. 1ACYP Ch. 3.5 - Prob. 1BCYP Ch. 3.5 - Prob. 1CCYP Ch. 3.5 - Prob. 1DCYP Ch. 3.5 - Prob. 1ECYP Ch. 3.5 - Prob. 1FCYP Ch. 3.5 - Prob. 2CYP Ch. 3.5 - Prob. 3CYP Ch. 3.5 - Prob. 1CYU Ch. 3.5 - Prob. 2CYU Ch. 3.5 - Prob. 3CYU Ch. 3.5 - Prob. 4CYU Ch. 3.5 - Prob. 5CYU Ch. 3.5 - Prob. 6CYU Ch. 3.5 - Prob. 7CYU Ch. 3.5 - Prob. 8PPS Ch. 3.5 - Prob. 9PPS Ch. 3.5 - Prob. 10PPS Ch. 3.5 - Prob. 11PPS Ch. 3.5 - Prob. 12PPS Ch. 3.5 - Prob. 13PPS Ch. 3.5 - Prob. 14PPS Ch. 3.5 - Prob. 15PPS Ch. 3.5 - Prob. 16PPS Ch. 3.5 - Prob. 17PPS Ch. 3.5 - Prob. 18PPS Ch. 3.5 - Prob. 19PPS Ch. 3.5 - Prob. 20PPS Ch. 3.5 - Prob. 21PPS Ch. 3.5 - Prob. 22PPS Ch. 3.5 - Prob. 23PPS Ch. 3.5 - Prob. 24PPS Ch. 3.5 - Prob. 25PPS Ch. 3.5 - Prob. 26PPS Ch. 3.5 - Prob. 27PPS Ch. 3.5 - Prob. 28PPS Ch. 3.5 - Prob. 29PPS Ch. 3.5 - Prob. 30PPS Ch. 3.5 - Prob. 31PPS Ch. 3.5 - Prob. 32PPS Ch. 3.5 - Prob. 33PPS Ch. 3.5 - Prob. 34PPS Ch. 3.5 - Prob. 35PPS Ch. 3.5 - Prob. 36PPS Ch. 3.5 - Prob. 37HP Ch. 3.5 - Prob. 38HP Ch. 3.5 - Prob. 39HP Ch. 3.5 - Prob. 40HP Ch. 3.5 - Prob. 41HP Ch. 3.5 - Prob. 42HP Ch. 3.5 - Prob. 43HP Ch. 3.5 - Prob. 44STP Ch. 3.5 - Prob. 45STP Ch. 3.5 - Prob. 46STP Ch. 3.5 - Prob. 47STP Ch. 3.5 - Prob. 48SPR Ch. 3.5 - Prob. 49SPR Ch. 3.5 - Prob. 50SPR Ch. 3.5 - Prob. 51SPR Ch. 3.5 - Prob. 52SPR Ch. 3.5 - Prob. 53SPR Ch. 3.5 - Prob. 54SPR Ch. 3.5 - Prob. 55SPR Ch. 3.5 - Prob. 56SPR Ch. 3.5 - Prob. 57SR Ch. 3.6 - Prob. 1CYP Ch. 3.6 - Prob. 2CYP Ch. 3.6 - Prob. 3ACYP Ch. 3.6 - Prob. 3BCYP Ch. 3.6 - Prob. 1CYU Ch. 3.6 - Prob. 2CYU Ch. 3.6 - Prob. 3CYU Ch. 3.6 - Prob. 4CYU Ch. 3.6 - Prob. 5CYU Ch. 3.6 - Prob. 6CYU Ch. 3.6 - Prob. 7CYU Ch. 3.6 - Prob. 8CYU Ch. 3.6 - Prob. 9PPS Ch. 3.6 - Prob. 10PPS Ch. 3.6 - Prob. 11PPS Ch. 3.6 - Prob. 12PPS Ch. 3.6 - Prob. 13PPS Ch. 3.6 - Prob. 14PPS Ch. 3.6 - Prob. 15PPS Ch. 3.6 - Prob. 16PPS Ch. 3.6 - Prob. 17PPS Ch. 3.6 - Prob. 18PPS Ch. 3.6 - Prob. 19PPS Ch. 3.6 - Prob. 20PPS Ch. 3.6 - Prob. 21PPS Ch. 3.6 - Prob. 22PPS Ch. 3.6 - Prob. 23PPS Ch. 3.6 - Prob. 24PPS Ch. 3.6 - Prob. 25PPS Ch. 3.6 - Prob. 26PPS Ch. 3.6 - Prob. 27PPS Ch. 3.6 - Prob. 28PPS Ch. 3.6 - Prob. 29PPS Ch. 3.6 - Prob. 30PPS Ch. 3.6 - Prob. 31PPS Ch. 3.6 - Prob. 32PPS Ch. 3.6 - Prob. 33PPS Ch. 3.6 - Prob. 34PPS Ch. 3.6 - Prob. 35PPS Ch. 3.6 - Prob. 36PPS Ch. 3.6 - Prob. 37PPS Ch. 3.6 - Prob. 38PPS Ch. 3.6 - Prob. 39PPS Ch. 3.6 - Prob. 40PPS Ch. 3.6 - Prob. 41HP Ch. 3.6 - Prob. 42HP Ch. 3.6 - Prob. 43HP Ch. 3.6 - Prob. 44HP Ch. 3.6 - Prob. 45HP Ch. 3.6 - Prob. 46HP Ch. 3.6 - Prob. 47HP Ch. 3.6 - Prob. 48STP Ch. 3.6 - Prob. 49STP Ch. 3.6 - Prob. 50STP Ch. 3.6 - Prob. 51STP Ch. 3.6 - Prob. 52SPR Ch. 3.6 - Prob. 53SPR Ch. 3.6 - Prob. 54SPR Ch. 3.6 - Prob. 55SPR Ch. 3.6 - Prob. 56SPR Ch. 3.6 - Prob. 57SPR Ch. 3.6 - Prob. 58SPR Ch. 3.6 - Prob. 59SPR Ch. 3.6 - Prob. 60SR Ch. 3.6 - Prob. 61SR Ch. 3.6 - Prob. 62SR Ch. 3.6 - Prob. 63SR Ch. 3.6 - Prob. 64SR Ch. 3.6 - Prob. 65SR Ch. 3 - Prob. 1GRFC Ch. 3 - Prob. 2GRFC Ch. 3 - Prob. 3GRFC Ch. 3 - Prob. 4GRFC Ch. 3 - Prob. 5GRFC Ch. 3 - Prob. 6GRFC Ch. 3 - Prob. 7GRFC Ch. 3 - Prob. 8GRFC Ch. 3 - Prob. 9GRFC Ch. 3 - Prob. 10GRFC Ch. 3 - Prob. 11GRFC Ch. 3 - Prob. 12GRFC Ch. 3 - Prob. 1MCQ Ch. 3 - Prob. 2MCQ Ch. 3 - Prob. 3MCQ Ch. 3 - Prob. 4MCQ Ch. 3 - Prob. 5MCQ Ch. 3 - Prob. 6MCQ Ch. 3 - Prob. 7MCQ Ch. 3 - Prob. 8MCQ Ch. 3 - Prob. 9MCQ Ch. 3 - Prob. 10MCQ Ch. 3 - Prob. 11MCQ Ch. 3 - Prob. 12MCQ Ch. 3 - Prob. 13MCQ Ch. 3 - Prob. 14MCQ Ch. 3 - Prob. 15MCQ Ch. 3 - Prob. 16MCQ Ch. 3 - Prob. 17MCQ Ch. 3 - Prob. 18MCQ Ch. 3 - Prob. 19MCQ Ch. 3 - Prob. 20MCQ Ch. 3 - Prob. 1SGR Ch. 3 - Prob. 2SGR Ch. 3 - Prob. 3SGR Ch. 3 - Prob. 4SGR Ch. 3 - Prob. 5SGR Ch. 3 - Prob. 6SGR Ch. 3 - Prob. 7SGR Ch. 3 - Prob. 8SGR Ch. 3 - Prob. 9SGR Ch. 3 - Prob. 10SGR Ch. 3 - Prob. 11SGR Ch. 3 - Prob. 12SGR Ch. 3 - Prob. 13SGR Ch. 3 - Prob. 14SGR Ch. 3 - Prob. 15SGR Ch. 3 - Prob. 16SGR Ch. 3 - Prob. 17SGR Ch. 3 - Prob. 18SGR Ch. 3 - Prob. 19SGR Ch. 3 - Prob. 20SGR Ch. 3 - Prob. 21SGR Ch. 3 - Prob. 22SGR Ch. 3 - Prob. 23SGR Ch. 3 - Prob. 24SGR Ch. 3 - Prob. 25SGR Ch. 3 - Prob. 26SGR Ch. 3 - Prob. 27SGR Ch. 3 - Prob. 28SGR Ch. 3 - Prob. 29SGR Ch. 3 - Prob. 30SGR Ch. 3 - Prob. 31SGR Ch. 3 - Prob. 32SGR Ch. 3 - Prob. 33SGR Ch. 3 - Prob. 34SGR Ch. 3 - Prob. 35SGR Ch. 3 - Prob. 36SGR Ch. 3 - Prob. 37SGR Ch. 3 - Prob. 38SGR Ch. 3 - Prob. 39SGR Ch. 3 - Prob. 40SGR Ch. 3 - Prob. 41SGR Ch. 3 - Prob. 42SGR Ch. 3 - Prob. 1PT Ch. 3 - Prob. 2PT Ch. 3 - Prob. 3PT Ch. 3 - Prob. 4PT Ch. 3 - Prob. 5PT Ch. 3 - Prob. 6PT Ch. 3 - Prob. 7PT Ch. 3 - Prob. 8PT Ch. 3 - Prob. 9PT Ch. 3 - Prob. 10PT Ch. 3 - Prob. 11PT Ch. 3 - Prob. 12PT Ch. 3 - Prob. 13PT Ch. 3 - Prob. 14PT Ch. 3 - Prob. 15PT Ch. 3 - Prob. 16PT Ch. 3 - Prob. 17PT Ch. 3 - Prob. 18PT Ch. 3 - Prob. 19PT Ch. 3 - Prob. 20PT Ch. 3 - Prob. 21PT Ch. 3 - Prob. 22PT Ch. 3 - Prob. 23PT Ch. 3 - Prob. 24PT Ch. 3 - Prob. 25PT Ch. 3 - Prob. 1STP Ch. 3 - Prob. 2STP Ch. 3 - Prob. 3STP Ch. 3 - Prob. 4STP Ch. 3 - Prob. 5STP Ch. 3 - Prob. 6STP Ch. 3 - Prob. 7STP Ch. 3 - Prob. 8STP Ch. 3 - Prob. 9STP Ch. 3 - Prob. 10STP Ch. 3 - Prob. 11STP Ch. 3 - Prob. 12STP Ch. 3 - Prob. 13STP

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