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

Optimization
Optimization comes from the same root as "optimal". "Optimal" means the highest. When you do the optimization process, that is when you are "making it best" to maximize everything and to achieve optimal results, a set of parameters is the base for the se…
Integration
Integration means to sum the things. In mathematics, it is the branch of Calculus which is used to find the area under the curve. The operation subtraction is the inverse of addition, division is the inverse of multiplication. In the same way, integratio…
Application of Integration
In mathematics, the process of integration is used to compute complex area related problems. With the application of integration, solving area related problems, whether they are a curve, or a curve between lines, can be done easily.
Volume
In mathematics, we describe the term volume as a quantity that can express the total space that an object occupies at any point in time. Usually, volumes can only be calculated for 3-dimensional objects. By 3-dimensional or 3D objects, we mean objects th…
Area
Area refers to the amount of space a figure encloses and the number of square units that cover a shape. It is two-dimensional and is measured in square units.
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Chapter 1.3, Problem 59PPS
To determine

To write a formula

Expert Solution & Answer
Check Mark

Answer to Problem 59PPS

  ym=y1+y22

Explanation of Solution

Given information:

y value of midpoint of segment.

  (x1,y1)(x2,y2)

Let the y value be ym .

The y value of midpoint of the segment is

  ym=y1+y22

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Chapter 1.3, Problem 58PPS
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Chapter 1.3, Problem 60PPS

Chapter 1 Solutions

Geometry, Student Edition

Ch. 1.1 - Prob. 1ACYPCh. 1.1 - Prob. 1BCYPCh. 1.1 - Prob. 2ACYPCh. 1.1 - Prob. 2BCYPCh. 1.1 - Prob. 3ACYPCh. 1.1 - Prob. 3BCYPCh. 1.1 - Prob. 4ACYPCh. 1.1 - Prob. 4BCYPCh. 1.1 - Prob. 1CYUCh. 1.1 - Prob. 2CYU
Ch. 1.1 - Prob. 3CYUCh. 1.1 - Prob. 4CYUCh. 1.1 - Prob. 5CYUCh. 1.1 - Prob. 6CYUCh. 1.1 - Prob. 7CYUCh. 1.1 - Prob. 8CYUCh. 1.1 - Prob. 9CYUCh. 1.1 - Prob. 10CYUCh. 1.1 - Prob. 11CYUCh. 1.1 - Prob. 12CYUCh. 1.1 - Prob. 13PPSCh. 1.1 - Prob. 14PPSCh. 1.1 - Prob. 15PPSCh. 1.1 - Prob. 16PPSCh. 1.1 - Prob. 17PPSCh. 1.1 - Prob. 18PPSCh. 1.1 - Prob. 19PPSCh. 1.1 - Prob. 20PPSCh. 1.1 - Prob. 21PPSCh. 1.1 - Prob. 22PPSCh. 1.1 - Prob. 23PPSCh. 1.1 - Prob. 24PPSCh. 1.1 - Prob. 25PPSCh. 1.1 - Prob. 26PPSCh. 1.1 - Prob. 27PPSCh. 1.1 - Prob. 28PPSCh. 1.1 - Prob. 29PPSCh. 1.1 - Prob. 30PPSCh. 1.1 - Prob. 31PPSCh. 1.1 - Prob. 32PPSCh. 1.1 - Prob. 33PPSCh. 1.1 - Prob. 34PPSCh. 1.1 - Prob. 35PPSCh. 1.1 - Prob. 36PPSCh. 1.1 - Prob. 37PPSCh. 1.1 - Prob. 38PPSCh. 1.1 - Prob. 39PPSCh. 1.1 - Prob. 40PPSCh. 1.1 - Prob. 41PPSCh. 1.1 - Prob. 42PPSCh. 1.1 - Prob. 43PPSCh. 1.1 - Prob. 44PPSCh. 1.1 - Prob. 45PPSCh. 1.1 - Prob. 46PPSCh. 1.1 - Prob. 47PPSCh. 1.1 - Prob. 48PPSCh. 1.1 - Prob. 49PPSCh. 1.1 - Prob. 50PPSCh. 1.1 - Prob. 51PPSCh. 1.1 - Prob. 52PPSCh. 1.1 - Prob. 53PPSCh. 1.1 - Prob. 54PPSCh. 1.1 - Prob. 55PPSCh. 1.1 - Prob. 56PPSCh. 1.1 - Prob. 57HPCh. 1.1 - Prob. 58HPCh. 1.1 - Prob. 59HPCh. 1.1 - Prob. 60HPCh. 1.1 - Prob. 61HPCh. 1.1 - Prob. 62STPCh. 1.1 - Prob. 63STPCh. 1.1 - Prob. 64STPCh. 1.1 - Prob. 65STPCh. 1.1 - Prob. 66SPRCh. 1.1 - Prob. 67SPRCh. 1.1 - Prob. 68SPRCh. 1.1 - Prob. 69SPRCh. 1.1 - Prob. 70SPRCh. 1.1 - Prob. 71SPRCh. 1.1 - Prob. 72SPRCh. 1.1 - Prob. 73SPRCh. 1.1 - Prob. 74SPRCh. 1.1 - Prob. 75SPRCh. 1.1 - Prob. 76SPRCh. 1.1 - Prob. 77SPRCh. 1.1 - Prob. 78SPRCh. 1.1 - Prob. 79SPRCh. 1.1 - Prob. 80SRCh. 1.1 - Prob. 81SRCh. 1.1 - Prob. 82SRCh. 1.1 - Prob. 83SRCh. 1.1 - Prob. 84SRCh. 1.1 - Prob. 85SRCh. 1.1 - Prob. 1ECh. 1.1 - Prob. 2ECh. 1.1 - Prob. 3ECh. 1.1 - Prob. 4ECh. 1.2 - Prob. 1ACYPCh. 1.2 - Prob. 1BCYPCh. 1.2 - Prob. 1CCYPCh. 1.2 - Prob. 2ACYPCh. 1.2 - Prob. 2BCYPCh. 1.2 - Prob. 3CYPCh. 1.2 - Prob. 4CYPCh. 1.2 - Prob. 5CYPCh. 1.2 - Prob. 6ACYPCh. 1.2 - Prob. 6BCYPCh. 1.2 - Prob. 1CYUCh. 1.2 - Prob. 2CYUCh. 1.2 - Prob. 3CYUCh. 1.2 - Prob. 4CYUCh. 1.2 - Prob. 5CYUCh. 1.2 - Prob. 6CYUCh. 1.2 - Prob. 7CYUCh. 1.2 - Prob. 8CYUCh. 1.2 - Prob. 9CYUCh. 1.2 - Prob. 10PPSCh. 1.2 - Prob. 11PPSCh. 1.2 - Prob. 12PPSCh. 1.2 - Prob. 13PPSCh. 1.2 - Prob. 14PPSCh. 1.2 - Prob. 15PPSCh. 1.2 - Prob. 16PPSCh. 1.2 - Prob. 17PPSCh. 1.2 - Prob. 18PPSCh. 1.2 - Prob. 19PPSCh. 1.2 - Prob. 20PPSCh. 1.2 - Prob. 21PPSCh. 1.2 - Prob. 22PPSCh. 1.2 - Prob. 23PPSCh. 1.2 - Prob. 24PPSCh. 1.2 - Prob. 25PPSCh. 1.2 - Prob. 26PPSCh. 1.2 - Prob. 27PPSCh. 1.2 - Prob. 28PPSCh. 1.2 - Prob. 29PPSCh. 1.2 - Prob. 30PPSCh. 1.2 - Prob. 31PPSCh. 1.2 - Prob. 32PPSCh. 1.2 - Prob. 33PPSCh. 1.2 - Prob. 34PPSCh. 1.2 - Prob. 35PPSCh. 1.2 - Prob. 36PPSCh. 1.2 - Prob. 37HPCh. 1.2 - Prob. 38HPCh. 1.2 - Prob. 39HPCh. 1.2 - Prob. 40HPCh. 1.2 - Prob. 41HPCh. 1.2 - Prob. 42STPCh. 1.2 - Prob. 43STPCh. 1.2 - Prob. 44STPCh. 1.2 - Prob. 45STPCh. 1.2 - Prob. 46SPRCh. 1.2 - Prob. 47SPRCh. 1.2 - Prob. 48SPRCh. 1.2 - Prob. 49SPRCh. 1.2 - Prob. 50SPRCh. 1.2 - Prob. 51SPRCh. 1.2 - Prob. 52SPRCh. 1.2 - Prob. 53SPRCh. 1.2 - Prob. 54SPRCh. 1.2 - Prob. 55SPRCh. 1.2 - Prob. 56SRCh. 1.2 - Prob. 57SRCh. 1.2 - Prob. 58SRCh. 1.2 - Prob. 59SRCh. 1.2 - Prob. 60SRCh. 1.2 - Prob. 61SRCh. 1.3 - Prob. 1ACYPCh. 1.3 - Prob. 1BCYPCh. 1.3 - Prob. 1CCYPCh. 1.3 - Prob. 2ACYPCh. 1.3 - Prob. 2BCYPCh. 1.3 - Prob. 3CYPCh. 1.3 - Prob. 4ACYPCh. 1.3 - Prob. 4BCYPCh. 1.3 - Prob. 5ACYPCh. 1.3 - Prob. 5BCYPCh. 1.3 - Prob. 6ACYPCh. 1.3 - Prob. 6BCYPCh. 1.3 - Prob. 1CYUCh. 1.3 - Prob. 2CYUCh. 1.3 - Prob. 3CYUCh. 1.3 - Prob. 4CYUCh. 1.3 - Prob. 5CYUCh. 1.3 - Prob. 6CYUCh. 1.3 - Prob. 7CYUCh. 1.3 - Prob. 8CYUCh. 1.3 - Prob. 9CYUCh. 1.3 - Prob. 10CYUCh. 1.3 - Prob. 11CYUCh. 1.3 - Prob. 12CYUCh. 1.3 - Prob. 13PPSCh. 1.3 - Prob. 14PPSCh. 1.3 - Prob. 15PPSCh. 1.3 - Prob. 16PPSCh. 1.3 - Prob. 17PPSCh. 1.3 - Prob. 18PPSCh. 1.3 - Prob. 19PPSCh. 1.3 - Prob. 20PPSCh. 1.3 - Prob. 21PPSCh. 1.3 - Prob. 22PPSCh. 1.3 - Prob. 23PPSCh. 1.3 - Prob. 24PPSCh. 1.3 - Prob. 25PPSCh. 1.3 - Prob. 26PPSCh. 1.3 - Prob. 27PPSCh. 1.3 - Prob. 28PPSCh. 1.3 - Prob. 29PPSCh. 1.3 - Prob. 30PPSCh. 1.3 - Prob. 31PPSCh. 1.3 - Prob. 32PPSCh. 1.3 - Prob. 33PPSCh. 1.3 - Prob. 34PPSCh. 1.3 - Prob. 35PPSCh. 1.3 - Prob. 36PPSCh. 1.3 - Prob. 37PPSCh. 1.3 - Prob. 38PPSCh. 1.3 - Prob. 39PPSCh. 1.3 - Prob. 40PPSCh. 1.3 - Prob. 41PPSCh. 1.3 - Prob. 42PPSCh. 1.3 - Prob. 43PPSCh. 1.3 - Prob. 44PPSCh. 1.3 - Prob. 45PPSCh. 1.3 - Prob. 46PPSCh. 1.3 - Prob. 47PPSCh. 1.3 - Prob. 48PPSCh. 1.3 - Prob. 49PPSCh. 1.3 - Prob. 50PPSCh. 1.3 - Prob. 51PPSCh. 1.3 - Prob. 52PPSCh. 1.3 - Prob. 53PPSCh. 1.3 - Prob. 54PPSCh. 1.3 - Prob. 55PPSCh. 1.3 - Prob. 56PPSCh. 1.3 - Prob. 57PPSCh. 1.3 - Prob. 58PPSCh. 1.3 - Prob. 59PPSCh. 1.3 - Prob. 60PPSCh. 1.3 - Prob. 61PPSCh. 1.3 - Prob. 62PPSCh. 1.3 - Prob. 63PPSCh. 1.3 - Prob. 64PPSCh. 1.3 - Prob. 65PPSCh. 1.3 - Prob. 66PPSCh. 1.3 - Prob. 67PPSCh. 1.3 - Prob. 68HPCh. 1.3 - Prob. 69HPCh. 1.3 - Prob. 70HPCh. 1.3 - Prob. 71HPCh. 1.3 - Prob. 72HPCh. 1.3 - Prob. 73STPCh. 1.3 - Prob. 74STPCh. 1.3 - Prob. 75STPCh. 1.3 - Prob. 76STPCh. 1.3 - Prob. 77SPRCh. 1.3 - Prob. 78SPRCh. 1.3 - Prob. 79SPRCh. 1.3 - Prob. 80SPRCh. 1.3 - Prob. 81SPRCh. 1.3 - Prob. 82SRCh. 1.3 - Prob. 83SRCh. 1.3 - Prob. 84SRCh. 1.3 - Prob. 85SRCh. 1.3 - Prob. 86SRCh. 1.3 - Prob. 87SRCh. 1.4 - Prob. 1ACYPCh. 1.4 - Prob. 1BCYPCh. 1.4 - Prob. 1CCYPCh. 1.4 - Prob. 1DCYPCh. 1.4 - Prob. 2ACYPCh. 1.4 - Prob. 2BCYPCh. 1.4 - Prob. 2CCYPCh. 1.4 - Prob. 2DCYPCh. 1.4 - Prob. 3CYPCh. 1.4 - Prob. 1CYUCh. 1.4 - Prob. 2CYUCh. 1.4 - Prob. 3CYUCh. 1.4 - Prob. 4CYUCh. 1.4 - Prob. 5CYUCh. 1.4 - Prob. 6CYUCh. 1.4 - Prob. 7CYUCh. 1.4 - Prob. 8CYUCh. 1.4 - Prob. 9CYUCh. 1.4 - Prob. 10CYUCh. 1.4 - Prob. 11CYUCh. 1.4 - Prob. 12PPSCh. 1.4 - Prob. 13PPSCh. 1.4 - Prob. 14PPSCh. 1.4 - Prob. 15PPSCh. 1.4 - Prob. 16PPSCh. 1.4 - Prob. 17PPSCh. 1.4 - Prob. 18PPSCh. 1.4 - Prob. 19PPSCh. 1.4 - Prob. 20PPSCh. 1.4 - Prob. 21PPSCh. 1.4 - Prob. 22PPSCh. 1.4 - Prob. 23PPSCh. 1.4 - Prob. 24PPSCh. 1.4 - Prob. 25PPSCh. 1.4 - Prob. 26PPSCh. 1.4 - Prob. 27PPSCh. 1.4 - Prob. 28PPSCh. 1.4 - Prob. 29PPSCh. 1.4 - Prob. 30PPSCh. 1.4 - Prob. 31PPSCh. 1.4 - Prob. 32PPSCh. 1.4 - Prob. 33PPSCh. 1.4 - Prob. 34PPSCh. 1.4 - Prob. 35PPSCh. 1.4 - Prob. 36PPSCh. 1.4 - Prob. 37PPSCh. 1.4 - Prob. 38PPSCh. 1.4 - Prob. 39PPSCh. 1.4 - Prob. 40PPSCh. 1.4 - Prob. 41PPSCh. 1.4 - Prob. 42PPSCh. 1.4 - Prob. 43PPSCh. 1.4 - Prob. 44PPSCh. 1.4 - Prob. 45PPSCh. 1.4 - Prob. 46PPSCh. 1.4 - Prob. 47PPSCh. 1.4 - Prob. 48PPSCh. 1.4 - Prob. 49HPCh. 1.4 - Prob. 50HPCh. 1.4 - Prob. 51HPCh. 1.4 - Prob. 52HPCh. 1.4 - Prob. 53HPCh. 1.4 - Prob. 54STPCh. 1.4 - Prob. 55STPCh. 1.4 - Prob. 56STPCh. 1.4 - Prob. 57STPCh. 1.4 - Prob. 58SPRCh. 1.4 - Prob. 59SPRCh. 1.4 - Prob. 60SPRCh. 1.4 - Prob. 61SPRCh. 1.4 - Prob. 62SPRCh. 1.4 - Prob. 63SPRCh. 1.4 - Prob. 64SPRCh. 1.4 - Prob. 65SPRCh. 1.4 - Prob. 66SPRCh. 1.4 - Prob. 67SPRCh. 1.4 - Prob. 68SPRCh. 1.4 - Prob. 69SPRCh. 1.4 - Prob. 70SRCh. 1.4 - Prob. 71SRCh. 1.4 - Prob. 72SRCh. 1.4 - Prob. 73SRCh. 1.4 - Prob. 74SRCh. 1.4 - Prob. 75SRCh. 1.5 - Prob. 1ACYPCh. 1.5 - Prob. 1BCYPCh. 1.5 - Prob. 2CYPCh. 1.5 - Prob. 3CYPCh. 1.5 - Prob. 4ACYPCh. 1.5 - Prob. 4BCYPCh. 1.5 - Prob. 1CYUCh. 1.5 - Prob. 2CYUCh. 1.5 - Prob. 3CYUCh. 1.5 - Prob. 4CYUCh. 1.5 - Prob. 5CYUCh. 1.5 - Prob. 6CYUCh. 1.5 - Prob. 7CYUCh. 1.5 - Prob. 8PPSCh. 1.5 - Prob. 9PPSCh. 1.5 - Prob. 10PPSCh. 1.5 - Prob. 11PPSCh. 1.5 - Prob. 12PPSCh. 1.5 - Prob. 13PPSCh. 1.5 - Prob. 14PPSCh. 1.5 - Prob. 15PPSCh. 1.5 - Prob. 16PPSCh. 1.5 - Prob. 17PPSCh. 1.5 - Prob. 18PPSCh. 1.5 - Prob. 19PPSCh. 1.5 - Prob. 20PPSCh. 1.5 - Prob. 21PPSCh. 1.5 - Prob. 22PPSCh. 1.5 - Prob. 23PPSCh. 1.5 - Prob. 24PPSCh. 1.5 - Prob. 25PPSCh. 1.5 - Prob. 26PPSCh. 1.5 - Prob. 27PPSCh. 1.5 - Prob. 28PPSCh. 1.5 - Prob. 29PPSCh. 1.5 - Prob. 30PPSCh. 1.5 - Prob. 31PPSCh. 1.5 - Prob. 32PPSCh. 1.5 - Prob. 33PPSCh. 1.5 - Prob. 34PPSCh. 1.5 - Prob. 35PPSCh. 1.5 - Prob. 36PPSCh. 1.5 - Prob. 37PPSCh. 1.5 - Prob. 38PPSCh. 1.5 - Prob. 39PPSCh. 1.5 - Prob. 40PPSCh. 1.5 - Prob. 41PPSCh. 1.5 - Prob. 42PPSCh. 1.5 - Prob. 43PPSCh. 1.5 - Prob. 44PPSCh. 1.5 - Prob. 45PPSCh. 1.5 - Prob. 46PPSCh. 1.5 - Prob. 47PPSCh. 1.5 - Prob. 48PPSCh. 1.5 - Prob. 49HPCh. 1.5 - Prob. 50HPCh. 1.5 - Prob. 51HPCh. 1.5 - Prob. 52HPCh. 1.5 - Prob. 53STPCh. 1.5 - Prob. 54STPCh. 1.5 - Prob. 55STPCh. 1.5 - Prob. 56STPCh. 1.5 - Prob. 57SPRCh. 1.5 - Prob. 58SPRCh. 1.5 - Prob. 59SPRCh. 1.5 - Prob. 60SPRCh. 1.5 - Prob. 61SPRCh. 1.5 - Prob. 62SPRCh. 1.5 - Prob. 63SPRCh. 1.5 - Prob. 64SRCh. 1.5 - Prob. 65SRCh. 1.5 - Prob. 66SRCh. 1.5 - Prob. 67SRCh. 1.6 - Prob. 1ACYPCh. 1.6 - Prob. 1BCYPCh. 1.6 - Prob. 1CCYPCh. 1.6 - Prob. 2ACYPCh. 1.6 - Prob. 2BCYPCh. 1.6 - Prob. 2CCYPCh. 1.6 - Prob. 3CYPCh. 1.6 - Prob. 4CYPCh. 1.6 - Prob. 1CYUCh. 1.6 - Prob. 2CYUCh. 1.6 - Prob. 3CYUCh. 1.6 - Prob. 4CYUCh. 1.6 - Prob. 5CYUCh. 1.6 - Prob. 6CYUCh. 1.6 - Prob. 7CYUCh. 1.6 - Prob. 8CYUCh. 1.6 - Prob. 9CYUCh. 1.6 - Prob. 10CYUCh. 1.6 - Prob. 11PPSCh. 1.6 - Prob. 12PPSCh. 1.6 - Prob. 13PPSCh. 1.6 - Prob. 14PPSCh. 1.6 - Prob. 15PPSCh. 1.6 - Prob. 16PPSCh. 1.6 - Prob. 17PPSCh. 1.6 - Prob. 18PPSCh. 1.6 - Prob. 19PPSCh. 1.6 - Prob. 20PPSCh. 1.6 - Prob. 21PPSCh. 1.6 - Prob. 22PPSCh. 1.6 - Prob. 23PPSCh. 1.6 - Prob. 24PPSCh. 1.6 - Prob. 25PPSCh. 1.6 - Prob. 26PPSCh. 1.6 - Prob. 27PPSCh. 1.6 - Prob. 28PPSCh. 1.6 - Prob. 29PPSCh. 1.6 - Prob. 30PPSCh. 1.6 - Prob. 31PPSCh. 1.6 - Prob. 32PPSCh. 1.6 - Prob. 33PPSCh. 1.6 - Prob. 34PPSCh. 1.6 - Prob. 35PPSCh. 1.6 - Prob. 36PPSCh. 1.6 - Prob. 37PPSCh. 1.6 - Prob. 38PPSCh. 1.6 - Prob. 39PPSCh. 1.6 - Prob. 40PPSCh. 1.6 - Prob. 41PPSCh. 1.6 - Prob. 42PPSCh. 1.6 - Prob. 43PPSCh. 1.6 - Prob. 44HPCh. 1.6 - Prob. 45HPCh. 1.6 - Prob. 46HPCh. 1.6 - Prob. 47HPCh. 1.6 - Prob. 48HPCh. 1.6 - Prob. 49HPCh. 1.6 - Prob. 50STPCh. 1.6 - Prob. 51STPCh. 1.6 - Prob. 52STPCh. 1.6 - Prob. 53STPCh. 1.6 - Prob. 54SPRCh. 1.6 - Prob. 55SPRCh. 1.6 - Prob. 56SPRCh. 1.6 - Prob. 57SPRCh. 1.6 - Prob. 58SPRCh. 1.6 - Prob. 59SPRCh. 1.6 - Prob. 60SPRCh. 1.6 - Prob. 61SPRCh. 1.6 - Prob. 62SRCh. 1.6 - Prob. 63SRCh. 1.6 - Prob. 64SRCh. 1.6 - Prob. 65SRCh. 1.7 - Prob. 1ACYPCh. 1.7 - Prob. 1BCYPCh. 1.7 - Prob. 2ACYPCh. 1.7 - Prob. 2BCYPCh. 1.7 - Prob. 2CCYPCh. 1.7 - Prob. 3CYPCh. 1.7 - Prob. 1CYUCh. 1.7 - Prob. 2CYUCh. 1.7 - Prob. 3CYUCh. 1.7 - Prob. 4CYUCh. 1.7 - Prob. 5CYUCh. 1.7 - Prob. 6PPSCh. 1.7 - Prob. 7PPSCh. 1.7 - Prob. 8PPSCh. 1.7 - Prob. 9PPSCh. 1.7 - Prob. 10PPSCh. 1.7 - Prob. 11PPSCh. 1.7 - Prob. 12PPSCh. 1.7 - Prob. 13PPSCh. 1.7 - Prob. 14PPSCh. 1.7 - Prob. 15PPSCh. 1.7 - Prob. 16PPSCh. 1.7 - Prob. 17PPSCh. 1.7 - Prob. 18PPSCh. 1.7 - Prob. 19PPSCh. 1.7 - Prob. 20PPSCh. 1.7 - Prob. 21PPSCh. 1.7 - Prob. 22PPSCh. 1.7 - Prob. 23PPSCh. 1.7 - Prob. 24PPSCh. 1.7 - Prob. 25PPSCh. 1.7 - Prob. 26PPSCh. 1.7 - Prob. 27PPSCh. 1.7 - Prob. 28PPSCh. 1.7 - Prob. 29PPSCh. 1.7 - Prob. 30PPSCh. 1.7 - Prob. 31PPSCh. 1.7 - Prob. 32PPSCh. 1.7 - Prob. 33PPSCh. 1.7 - Prob. 34PPSCh. 1.7 - Prob. 35PPSCh. 1.7 - Prob. 36PPSCh. 1.7 - Prob. 37HPCh. 1.7 - Prob. 38HPCh. 1.7 - Prob. 39HPCh. 1.7 - Prob. 40HPCh. 1.7 - Prob. 41HPCh. 1.7 - Prob. 42HPCh. 1.7 - Prob. 43STPCh. 1.7 - Prob. 44STPCh. 1.7 - Prob. 45STPCh. 1.7 - Prob. 46STPCh. 1.7 - Prob. 47SPRCh. 1.7 - Prob. 48SPRCh. 1.7 - Prob. 49SPRCh. 1.7 - Prob. 50SPRCh. 1.7 - Prob. 51SPRCh. 1.7 - Prob. 52SPRCh. 1.7 - Prob. 53SPRCh. 1.7 - Prob. 54SPRCh. 1.7 - Prob. 55SPRCh. 1.7 - Prob. 56SRCh. 1.7 - Prob. 57SRCh. 1.7 - Prob. 58SRCh. 1.7 - Prob. 59SRCh. 1 - Prob. 1GRFCCh. 1 - Prob. 2GRFCCh. 1 - Prob. 3GRFCCh. 1 - Prob. 4GRFCCh. 1 - Prob. 5GRFCCh. 1 - Prob. 6GRFCCh. 1 - Prob. 7GRFCCh. 1 - Prob. 8GRFCCh. 1 - Prob. 9GRFCCh. 1 - Prob. 10GRFCCh. 1 - Prob. 11GRFCCh. 1 - Prob. 12GRFCCh. 1 - Prob. 13GRFCCh. 1 - Prob. 14GRFCCh. 1 - Prob. 15GRFCCh. 1 - Prob. 1MCQCh. 1 - Prob. 2MCQCh. 1 - Prob. 3MCQCh. 1 - Prob. 4MCQCh. 1 - Prob. 5MCQCh. 1 - Prob. 6MCQCh. 1 - Prob. 7MCQCh. 1 - Prob. 8MCQCh. 1 - Prob. 9MCQCh. 1 - Prob. 10MCQCh. 1 - Prob. 11MCQCh. 1 - Prob. 12MCQCh. 1 - Prob. 13MCQCh. 1 - Prob. 14MCQCh. 1 - Prob. 15MCQCh. 1 - Prob. 16MCQCh. 1 - Prob. 1SGRCh. 1 - Prob. 2SGRCh. 1 - Prob. 3SGRCh. 1 - Prob. 4SGRCh. 1 - Prob. 5SGRCh. 1 - Prob. 6SGRCh. 1 - Prob. 7SGRCh. 1 - Prob. 8SGRCh. 1 - Prob. 9SGRCh. 1 - Prob. 10SGRCh. 1 - Prob. 11SGRCh. 1 - Prob. 12SGRCh. 1 - Prob. 13SGRCh. 1 - Prob. 14SGRCh. 1 - Prob. 15SGRCh. 1 - Prob. 16SGRCh. 1 - Prob. 17SGRCh. 1 - Prob. 18SGRCh. 1 - Prob. 19SGRCh. 1 - Prob. 20SGRCh. 1 - Prob. 21SGRCh. 1 - Prob. 22SGRCh. 1 - Prob. 23SGRCh. 1 - Prob. 24SGRCh. 1 - Prob. 25SGRCh. 1 - Prob. 26SGRCh. 1 - Prob. 27SGRCh. 1 - Prob. 28SGRCh. 1 - Prob. 29SGRCh. 1 - Prob. 30SGRCh. 1 - Prob. 31SGRCh. 1 - Prob. 32SGRCh. 1 - Prob. 33SGRCh. 1 - Prob. 34SGRCh. 1 - Prob. 35SGRCh. 1 - Prob. 36SGRCh. 1 - Prob. 37SGRCh. 1 - Prob. 38SGRCh. 1 - Prob. 39SGRCh. 1 - Prob. 40SGRCh. 1 - Prob. 41SGRCh. 1 - Prob. 42SGRCh. 1 - Prob. 43SGRCh. 1 - Prob. 1PTCh. 1 - Prob. 2PTCh. 1 - Prob. 3PTCh. 1 - Prob. 4PTCh. 1 - Prob. 5PTCh. 1 - Prob. 6PTCh. 1 - Prob. 7PTCh. 1 - Prob. 8PTCh. 1 - Prob. 9PTCh. 1 - Prob. 10PTCh. 1 - Prob. 11PTCh. 1 - Prob. 12PTCh. 1 - Prob. 13PTCh. 1 - Prob. 14PTCh. 1 - Prob. 15PTCh. 1 - Prob. 16PTCh. 1 - Prob. 17PTCh. 1 - Prob. 18PTCh. 1 - Prob. 19PTCh. 1 - Prob. 20PTCh. 1 - Prob. 21PTCh. 1 - Prob. 22PTCh. 1 - Prob. 23PTCh. 1 - Prob. 24PTCh. 1 - Prob. 25PTCh. 1 - Prob. 1PSTCh. 1 - Prob. 2PSTCh. 1 - Prob. 1STPCh. 1 - Prob. 2STPCh. 1 - Prob. 3STPCh. 1 - Prob. 4STPCh. 1 - Prob. 5STPCh. 1 - Prob. 6STPCh. 1 - Prob. 7STPCh. 1 - Prob. 8STPCh. 1 - Prob. 9STPCh. 1 - Prob. 10STPCh. 1 - Prob. 11STPCh. 1 - Prob. 12STPCh. 1 - Prob. 13STPCh. 1 - Prob. 14STP

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