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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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 7.2, Problem 63SPR
To determine

To find: The assumption that can be made to start the indirect proof.

Expert Solution & Answer
Check Mark

Answer to Problem 63SPR

The assumption that can be made to start as an indirect proof is x≤4 .

Explanation of Solution

Given:

The given proof is that if 3x>12 , then x>4 .

Calculation:

The first step to find the indirect proof is to find the negation of the conclusion.

Consider the conclusion of the given statement “if 3x>12 , then x>4 ” is that x>4 .

Thus, the assumption that can be made to start as an indirect proof is x≤4 .

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Chapter 7.2, Problem 62SPR
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Chapter 7.2, Problem 64SPR

Chapter 7 Solutions

Geometry, Student Edition

Ch. 7.1 - Prob. 1ACYPCh. 7.1 - Prob. 2CYPCh. 7.1 - Prob. 3ACYPCh. 7.1 - Prob. 3BCYPCh. 7.1 - Prob. 3CCYPCh. 7.1 - Prob. 4CYPCh. 7.1 - Prob. 1CYUCh. 7.1 - Prob. 2CYUCh. 7.1 - Prob. 3CYUCh. 7.1 - Prob. 4CYU
Ch. 7.1 - Prob. 5CYUCh. 7.1 - Prob. 6CYUCh. 7.1 - Prob. 7CYUCh. 7.1 - Prob. 8CYUCh. 7.1 - Prob. 9CYUCh. 7.1 - Prob. 10PPSCh. 7.1 - Prob. 11PPSCh. 7.1 - Prob. 12PPSCh. 7.1 - Prob. 13PPSCh. 7.1 - Prob. 14PPSCh. 7.1 - Prob. 15PPSCh. 7.1 - Prob. 16PPSCh. 7.1 - Prob. 17PPSCh. 7.1 - Prob. 18PPSCh. 7.1 - Prob. 19PPSCh. 7.1 - Prob. 20PPSCh. 7.1 - Prob. 21PPSCh. 7.1 - Prob. 22PPSCh. 7.1 - Prob. 23PPSCh. 7.1 - Prob. 24PPSCh. 7.1 - Prob. 25PPSCh. 7.1 - Prob. 26PPSCh. 7.1 - Prob. 27PPSCh. 7.1 - Prob. 28PPSCh. 7.1 - Prob. 29PPSCh. 7.1 - Prob. 30PPSCh. 7.1 - Prob. 31PPSCh. 7.1 - Prob. 32PPSCh. 7.1 - Prob. 33PPSCh. 7.1 - Prob. 34PPSCh. 7.1 - Prob. 35PPSCh. 7.1 - Prob. 36PPSCh. 7.1 - Prob. 37PPSCh. 7.1 - Prob. 38PPSCh. 7.1 - Prob. 39PPSCh. 7.1 - Prob. 40PPSCh. 7.1 - Prob. 41PPSCh. 7.1 - Prob. 42PPSCh. 7.1 - Prob. 43PPSCh. 7.1 - Prob. 44HPCh. 7.1 - Prob. 45HPCh. 7.1 - Prob. 46HPCh. 7.1 - Prob. 47HPCh. 7.1 - Prob. 48HPCh. 7.1 - Prob. 49HPCh. 7.1 - Prob. 50STPCh. 7.1 - Prob. 51STPCh. 7.1 - Prob. 52STPCh. 7.1 - Prob. 53STPCh. 7.1 - Prob. 54SPRCh. 7.1 - Prob. 55SPRCh. 7.1 - Prob. 56SPRCh. 7.1 - Prob. 57SPRCh. 7.1 - Prob. 58SPRCh. 7.1 - Prob. 59SPRCh. 7.1 - Prob. 60SPRCh. 7.1 - Prob. 61SPRCh. 7.1 - Prob. 62SPRCh. 7.1 - Prob. 63SPRCh. 7.1 - Prob. 64SPRCh. 7.1 - Prob. 65SRCh. 7.2 - Prob. 1CYPCh. 7.2 - Prob. 2CYPCh. 7.2 - Prob. 3ACYPCh. 7.2 - Prob. 3BCYPCh. 7.2 - Prob. 4CYPCh. 7.2 - Prob. 1CYUCh. 7.2 - Prob. 2CYUCh. 7.2 - Prob. 3CYUCh. 7.2 - Prob. 4CYUCh. 7.2 - Prob. 5CYUCh. 7.2 - Prob. 6CYUCh. 7.2 - Prob. 7CYUCh. 7.2 - Prob. 8PPSCh. 7.2 - Prob. 9PPSCh. 7.2 - Prob. 10PPSCh. 7.2 - Prob. 11PPSCh. 7.2 - Prob. 12PPSCh. 7.2 - Prob. 13PPSCh. 7.2 - Prob. 14PPSCh. 7.2 - Prob. 15PPSCh. 7.2 - Prob. 16PPSCh. 7.2 - Prob. 17PPSCh. 7.2 - Prob. 18PPSCh. 7.2 - Prob. 19PPSCh. 7.2 - Prob. 20PPSCh. 7.2 - Prob. 21PPSCh. 7.2 - Prob. 22PPSCh. 7.2 - Prob. 23PPSCh. 7.2 - Prob. 24PPSCh. 7.2 - Prob. 25PPSCh. 7.2 - Prob. 26PPSCh. 7.2 - Prob. 27PPSCh. 7.2 - Prob. 28PPSCh. 7.2 - Prob. 29PPSCh. 7.2 - Prob. 30PPSCh. 7.2 - Prob. 31PPSCh. 7.2 - Prob. 32PPSCh. 7.2 - Prob. 33PPSCh. 7.2 - Prob. 34PPSCh. 7.2 - Prob. 35PPSCh. 7.2 - Prob. 36PPSCh. 7.2 - Prob. 37PPSCh. 7.2 - Prob. 38PPSCh. 7.2 - Prob. 39PPSCh. 7.2 - Prob. 40PPSCh. 7.2 - Prob. 41PPSCh. 7.2 - Prob. 42PPSCh. 7.2 - Prob. 43PPSCh. 7.2 - Prob. 44PPSCh. 7.2 - Prob. 45PPSCh. 7.2 - Prob. 46PPSCh. 7.2 - Prob. 47PPSCh. 7.2 - Prob. 48PPSCh. 7.2 - Prob. 49PPSCh. 7.2 - Prob. 50PPSCh. 7.2 - Prob. 51HPCh. 7.2 - Prob. 52HPCh. 7.2 - Prob. 53HPCh. 7.2 - Prob. 54HPCh. 7.2 - Prob. 55HPCh. 7.2 - Prob. 56STPCh. 7.2 - Prob. 57STPCh. 7.2 - Prob. 58STPCh. 7.2 - Prob. 59STPCh. 7.2 - Prob. 60SPRCh. 7.2 - Prob. 61SPRCh. 7.2 - Prob. 62SPRCh. 7.2 - Prob. 63SPRCh. 7.2 - Prob. 64SPRCh. 7.2 - Prob. 65SPRCh. 7.2 - Prob. 66SPRCh. 7.2 - Prob. 67SPRCh. 7.2 - Prob. 68SPRCh. 7.2 - Prob. 69SPRCh. 7.2 - Prob. 70SRCh. 7.2 - Prob. 71SRCh. 7.2 - Prob. 72SRCh. 7.3 - Prob. 1ACYPCh. 7.3 - Prob. 1BCYPCh. 7.3 - Prob. 2ACYPCh. 7.3 - Prob. 2BCYPCh. 7.3 - Prob. 3CYPCh. 7.3 - Prob. 4ACYPCh. 7.3 - Prob. 4BCYPCh. 7.3 - Prob. 5CYPCh. 7.3 - Prob. 1CYUCh. 7.3 - Prob. 2CYUCh. 7.3 - Prob. 3CYUCh. 7.3 - Prob. 4CYUCh. 7.3 - Prob. 5CYUCh. 7.3 - Prob. 6CYUCh. 7.3 - Prob. 7CYUCh. 7.3 - Prob. 8CYUCh. 7.3 - Prob. 9PPSCh. 7.3 - Prob. 10PPSCh. 7.3 - Prob. 11PPSCh. 7.3 - Prob. 12PPSCh. 7.3 - Prob. 13PPSCh. 7.3 - Prob. 14PPSCh. 7.3 - Prob. 15PPSCh. 7.3 - Prob. 16PPSCh. 7.3 - Prob. 17PPSCh. 7.3 - Prob. 18PPSCh. 7.3 - Prob. 19PPSCh. 7.3 - Prob. 20PPSCh. 7.3 - Prob. 21PPSCh. 7.3 - Prob. 22PPSCh. 7.3 - Prob. 23PPSCh. 7.3 - Prob. 24PPSCh. 7.3 - Prob. 25PPSCh. 7.3 - Prob. 26PPSCh. 7.3 - Prob. 27PPSCh. 7.3 - Prob. 28PPSCh. 7.3 - Prob. 29PPSCh. 7.3 - Prob. 30PPSCh. 7.3 - Prob. 31PPSCh. 7.3 - Prob. 32PPSCh. 7.3 - Prob. 33PPSCh. 7.3 - Prob. 34PPSCh. 7.3 - Prob. 35PPSCh. 7.3 - Prob. 36PPSCh. 7.3 - Prob. 37HPCh. 7.3 - Prob. 38HPCh. 7.3 - Prob. 39HPCh. 7.3 - Prob. 40HPCh. 7.3 - Prob. 41HPCh. 7.3 - Prob. 42STPCh. 7.3 - Prob. 43STPCh. 7.3 - Prob. 44STPCh. 7.3 - Prob. 45STPCh. 7.3 - Prob. 46SPRCh. 7.3 - Prob. 47SPRCh. 7.3 - Prob. 48SPRCh. 7.3 - Prob. 49SPRCh. 7.3 - Prob. 50SPRCh. 7.3 - Prob. 51SPRCh. 7.3 - Prob. 52SPRCh. 7.3 - Prob. 53SPRCh. 7.3 - Prob. 54SPRCh. 7.3 - Prob. 55SPRCh. 7.3 - Prob. 56SPRCh. 7.3 - Prob. 57SRCh. 7.4 - Prob. 1CYPCh. 7.4 - Prob. 2CYPCh. 7.4 - Prob. 3ACYPCh. 7.4 - Prob. 3BCYPCh. 7.4 - Prob. 3CCYPCh. 7.4 - Prob. 4CYPCh. 7.4 - Prob. 5ACYPCh. 7.4 - Prob. 5BCYPCh. 7.4 - Prob. 1CYUCh. 7.4 - Prob. 2CYUCh. 7.4 - Prob. 3CYUCh. 7.4 - Prob. 4CYUCh. 7.4 - Prob. 5CYUCh. 7.4 - Prob. 6CYUCh. 7.4 - Prob. 7CYUCh. 7.4 - Prob. 8CYUCh. 7.4 - Prob. 9CYUCh. 7.4 - Prob. 10PPSCh. 7.4 - Prob. 11PPSCh. 7.4 - Prob. 12PPSCh. 7.4 - Prob. 13PPSCh. 7.4 - Prob. 14PPSCh. 7.4 - Prob. 15PPSCh. 7.4 - Prob. 16PPSCh. 7.4 - Prob. 17PPSCh. 7.4 - Prob. 18PPSCh. 7.4 - Prob. 19PPSCh. 7.4 - Prob. 20PPSCh. 7.4 - Prob. 21PPSCh. 7.4 - Prob. 22PPSCh. 7.4 - Prob. 23PPSCh. 7.4 - Prob. 24PPSCh. 7.4 - Prob. 25PPSCh. 7.4 - Prob. 26PPSCh. 7.4 - Prob. 27PPSCh. 7.4 - Prob. 28PPSCh. 7.4 - Prob. 29PPSCh. 7.4 - Prob. 30PPSCh. 7.4 - Prob. 31PPSCh. 7.4 - Prob. 32PPSCh. 7.4 - Prob. 33PPSCh. 7.4 - Prob. 34PPSCh. 7.4 - Prob. 35PPSCh. 7.4 - Prob. 36PPSCh. 7.4 - Prob. 37PPSCh. 7.4 - Prob. 38PPSCh. 7.4 - Prob. 39PPSCh. 7.4 - Prob. 40PPSCh. 7.4 - Prob. 41PPSCh. 7.4 - Prob. 42PPSCh. 7.4 - Prob. 43PPSCh. 7.4 - Prob. 44PPSCh. 7.4 - Prob. 45PPSCh. 7.4 - Prob. 46PPSCh. 7.4 - Prob. 47PPSCh. 7.4 - Prob. 48HPCh. 7.4 - Prob. 49HPCh. 7.4 - Prob. 50HPCh. 7.4 - Prob. 51HPCh. 7.4 - Prob. 52HPCh. 7.4 - Prob. 53STPCh. 7.4 - Prob. 54STPCh. 7.4 - Prob. 55STPCh. 7.4 - Prob. 56STPCh. 7.4 - Prob. 57SPRCh. 7.4 - Prob. 58SPRCh. 7.4 - Prob. 59SPRCh. 7.4 - Prob. 60SPRCh. 7.4 - Prob. 61SPRCh. 7.4 - Prob. 62SPRCh. 7.4 - Prob. 63SPRCh. 7.4 - Prob. 64SPRCh. 7.4 - Prob. 65SPRCh. 7.4 - Prob. 66SPRCh. 7.4 - Prob. 67SRCh. 7.4 - Prob. 68SRCh. 7.4 - Prob. 69SRCh. 7.4 - Prob. 70SRCh. 7.4 - Prob. 71SRCh. 7.5 - Prob. 1ACYPCh. 7.5 - Prob. 1BCYPCh. 7.5 - Prob. 2CYPCh. 7.5 - Prob. 3ACYPCh. 7.5 - Prob. 3BCYPCh. 7.5 - Prob. 1CYUCh. 7.5 - Prob. 2CYUCh. 7.5 - Prob. 3CYUCh. 7.5 - Prob. 4CYUCh. 7.5 - Prob. 5CYUCh. 7.5 - Prob. 6PPSCh. 7.5 - Prob. 7PPSCh. 7.5 - Prob. 8PPSCh. 7.5 - Prob. 9PPSCh. 7.5 - Prob. 10PPSCh. 7.5 - Prob. 11PPSCh. 7.5 - Prob. 12PPSCh. 7.5 - Prob. 13PPSCh. 7.5 - Prob. 14PPSCh. 7.5 - Prob. 15PPSCh. 7.5 - Prob. 16PPSCh. 7.5 - Prob. 17PPSCh. 7.5 - Prob. 18PPSCh. 7.5 - Prob. 19PPSCh. 7.5 - Prob. 20PPSCh. 7.5 - Prob. 21PPSCh. 7.5 - Prob. 22PPSCh. 7.5 - Prob. 23PPSCh. 7.5 - Prob. 24PPSCh. 7.5 - Prob. 25PPSCh. 7.5 - Prob. 26PPSCh. 7.5 - Prob. 27PPSCh. 7.5 - Prob. 28PPSCh. 7.5 - Prob. 29PPSCh. 7.5 - Prob. 30PPSCh. 7.5 - Prob. 31HPCh. 7.5 - Prob. 32HPCh. 7.5 - Prob. 33HPCh. 7.5 - Prob. 34HPCh. 7.5 - Prob. 35HPCh. 7.5 - Prob. 36STPCh. 7.5 - Prob. 37STPCh. 7.5 - Prob. 38STPCh. 7.5 - Prob. 39STPCh. 7.5 - Prob. 40SPRCh. 7.5 - Prob. 41SPRCh. 7.5 - Prob. 42SPRCh. 7.5 - Prob. 43SPRCh. 7.5 - Prob. 44SPRCh. 7.5 - Prob. 45SPRCh. 7.5 - Prob. 46SRCh. 7.5 - Prob. 47SRCh. 7.5 - Prob. 48SRCh. 7.5 - Prob. 49SRCh. 7.5 - Prob. 50SRCh. 7.5 - Prob. 51SRCh. 7.6 - Prob. 1ACYPCh. 7.6 - Prob. 1BCYPCh. 7.6 - Prob. 2CYPCh. 7.6 - Prob. 3ACYPCh. 7.6 - Prob. 3BCYPCh. 7.6 - Prob. 1CYUCh. 7.6 - Prob. 2CYUCh. 7.6 - Prob. 3CYUCh. 7.6 - Prob. 4CYUCh. 7.6 - Prob. 5CYUCh. 7.6 - Prob. 6PPSCh. 7.6 - Prob. 7PPSCh. 7.6 - Prob. 8PPSCh. 7.6 - Prob. 9PPSCh. 7.6 - Prob. 10PPSCh. 7.6 - Prob. 11PPSCh. 7.6 - Prob. 12PPSCh. 7.6 - Prob. 13PPSCh. 7.6 - Prob. 14PPSCh. 7.6 - Prob. 15PPSCh. 7.6 - Prob. 16PPSCh. 7.6 - Prob. 17PPSCh. 7.6 - Prob. 18PPSCh. 7.6 - Prob. 19PPSCh. 7.6 - Prob. 20PPSCh. 7.6 - Prob. 21PPSCh. 7.6 - Prob. 22HPCh. 7.6 - Prob. 23HPCh. 7.6 - Prob. 24HPCh. 7.6 - Prob. 25HPCh. 7.6 - Prob. 26HPCh. 7.6 - Prob. 27HPCh. 7.6 - Prob. 28STPCh. 7.6 - Prob. 29STPCh. 7.6 - Prob. 30STPCh. 7.6 - Prob. 31STPCh. 7.6 - Prob. 32SPRCh. 7.6 - Prob. 33SPRCh. 7.6 - Prob. 34SPRCh. 7.6 - Prob. 35SPRCh. 7.6 - Prob. 36SPRCh. 7.6 - Prob. 37SPRCh. 7.6 - Prob. 38SPRCh. 7.6 - Prob. 39SPRCh. 7.6 - Prob. 40SRCh. 7.6 - Prob. 41SRCh. 7.6 - Prob. 42SRCh. 7.6 - Prob. 43SRCh. 7.6 - Prob. 44SRCh. 7.6 - Prob. 45SRCh. 7.7 - Prob. 1CYPCh. 7.7 - Prob. 2CYPCh. 7.7 - Prob. 3CYPCh. 7.7 - Prob. 1CYUCh. 7.7 - Prob. 2CYUCh. 7.7 - Prob. 3CYUCh. 7.7 - Prob. 4CYUCh. 7.7 - Prob. 5PPSCh. 7.7 - Prob. 6PPSCh. 7.7 - Prob. 7PPSCh. 7.7 - Prob. 8PPSCh. 7.7 - Prob. 9PPSCh. 7.7 - Prob. 10PPSCh. 7.7 - Prob. 11PPSCh. 7.7 - Prob. 12PPSCh. 7.7 - Prob. 13PPSCh. 7.7 - Prob. 14PPSCh. 7.7 - Prob. 15PPSCh. 7.7 - Prob. 16PPSCh. 7.7 - Prob. 17PPSCh. 7.7 - Prob. 18PPSCh. 7.7 - Prob. 19PPSCh. 7.7 - Prob. 20PPSCh. 7.7 - Prob. 21HPCh. 7.7 - Prob. 22HPCh. 7.7 - Prob. 23HPCh. 7.7 - Prob. 24HPCh. 7.7 - Prob. 25HPCh. 7.7 - Prob. 26STPCh. 7.7 - Prob. 27STPCh. 7.7 - Prob. 28STPCh. 7.7 - Prob. 29STPCh. 7.7 - Prob. 30SPRCh. 7.7 - Prob. 31SPRCh. 7.7 - Prob. 32SPRCh. 7.7 - Prob. 33SPRCh. 7.7 - Prob. 34SPRCh. 7.7 - Prob. 35SPRCh. 7.7 - Prob. 36SPRCh. 7.7 - Prob. 37SPRCh. 7.7 - Prob. 38SPRCh. 7.7 - Prob. 39SPRCh. 7.7 - Prob. 40SPRCh. 7.7 - Prob. 41SPRCh. 7.7 - Prob. 42SPRCh. 7.7 - Prob. 43SPRCh. 7.7 - Prob. 44SPRCh. 7.7 - Prob. 45SRCh. 7.7 - Prob. 46SRCh. 7.7 - Prob. 47SRCh. 7.7 - Prob. 48SRCh. 7.7 - Prob. 49SRCh. 7 - Prob. 1GRFCCh. 7 - Prob. 2GRFCCh. 7 - Prob. 3GRFCCh. 7 - Prob. 4GRFCCh. 7 - Prob. 5GRFCCh. 7 - Prob. 6GRFCCh. 7 - Prob. 7GRFCCh. 7 - Prob. 8GRFCCh. 7 - Prob. 1MCQCh. 7 - Prob. 2MCQCh. 7 - Prob. 3MCQCh. 7 - Prob. 4MCQCh. 7 - Prob. 5MCQCh. 7 - Prob. 6MCQCh. 7 - Prob. 7MCQCh. 7 - Prob. 8MCQCh. 7 - Prob. 9MCQCh. 7 - Prob. 10MCQCh. 7 - Prob. 11MCQCh. 7 - Prob. 12MCQCh. 7 - Prob. 13MCQCh. 7 - Prob. 14MCQCh. 7 - Prob. 15MCQCh. 7 - Prob. 1SGRCh. 7 - Prob. 2SGRCh. 7 - Prob. 3SGRCh. 7 - Prob. 4SGRCh. 7 - Prob. 5SGRCh. 7 - Prob. 6SGRCh. 7 - Prob. 7SGRCh. 7 - Prob. 8SGRCh. 7 - Prob. 9SGRCh. 7 - Prob. 10SGRCh. 7 - Prob. 11SGRCh. 7 - Prob. 12SGRCh. 7 - Prob. 13SGRCh. 7 - Prob. 14SGRCh. 7 - Prob. 15SGRCh. 7 - Prob. 16SGRCh. 7 - Prob. 17SGRCh. 7 - Prob. 18SGRCh. 7 - Prob. 19SGRCh. 7 - Prob. 20SGRCh. 7 - Prob. 21SGRCh. 7 - Prob. 22SGRCh. 7 - Prob. 23SGRCh. 7 - Prob. 24SGRCh. 7 - Prob. 25SGRCh. 7 - Prob. 26SGRCh. 7 - Prob. 27SGRCh. 7 - Prob. 28SGRCh. 7 - Prob. 29SGRCh. 7 - Prob. 30SGRCh. 7 - Prob. 31SGRCh. 7 - Prob. 32SGRCh. 7 - Prob. 33SGRCh. 7 - Prob. 34SGRCh. 7 - Prob. 35SGRCh. 7 - Prob. 1PTCh. 7 - Prob. 2PTCh. 7 - Prob. 3PTCh. 7 - Prob. 4PTCh. 7 - Prob. 5PTCh. 7 - Prob. 6PTCh. 7 - Prob. 7PTCh. 7 - Prob. 8PTCh. 7 - Prob. 9PTCh. 7 - Prob. 10PTCh. 7 - Prob. 11PTCh. 7 - Prob. 12PTCh. 7 - Prob. 13PTCh. 7 - Prob. 14PTCh. 7 - Prob. 15PTCh. 7 - Prob. 16PTCh. 7 - Prob. 17PTCh. 7 - Prob. 1STPCh. 7 - Prob. 2STPCh. 7 - Prob. 3STPCh. 7 - Prob. 4STPCh. 7 - Prob. 5STPCh. 7 - Prob. 6STPCh. 7 - Prob. 7STPCh. 7 - Prob. 8STPCh. 7 - Prob. 9STPCh. 7 - Prob. 10STPCh. 7 - Prob. 11STPCh. 7 - Prob. 12STPCh. 7 - Prob. 13STPCh. 7 - Prob. 14STPCh. 7 - Prob. 15STP

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