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

Minimization
In mathematics, traditional optimization problems are typically expressed in terms of minimization. When we talk about minimizing or maximizing a function, we refer to the maximum and minimum possible values of that function. This can be expressed in ter…
Maxima and Minima
The extreme points of a function are the maximum and the minimum points of the function. A maximum is attained when the function takes the maximum value and a minimum is attained when the function takes the minimum value.
Derivatives
A derivative means a change. Geometrically it can be represented as a line with some steepness. Imagine climbing a mountain which is very steep and 500 meters high. Is it easier to climb? Definitely not! Suppose walking on the road for 500 meters. Which …
Concavity
In calculus, concavity is a descriptor of mathematics that tells about the shape of the graph. It is the parameter that helps to estimate the maximum and minimum value of any of the functions and the concave nature using the graphical method. We use the …
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Question
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Chapter 7.3, Problem 34PPS

a.

To determine

To find: the area related to scale factor of ΔABC to ΔJKL .

a.

Expert Solution
Check Mark

Answer to Problem 34PPS

  4:1 .

Explanation of Solution

Given:

  Geometry, Student Edition, Chapter 7.3, Problem 34PPS , additional homework tip 1

Calculation:

Here are two right triangles that fit the description in the problem.

The area of the smaller triangle is 12×4×5=10 sq units .

The scaler factor of 2:1 is related to the ratio of the area 22:12=4:1 .

Hence, the scaler factor of the ratio of the area is 4:1 .

b.

To determine

To find: the area related to scale factor of ΔABC to ΔJKL .

b.

Expert Solution
Check Mark

Answer to Problem 34PPS

  9:1 .

Explanation of Solution

Given:

  Geometry, Student Edition, Chapter 7.3, Problem 34PPS , additional homework tip 2

Calculation:

Here are two right triangles that fit the description in the problem.

The area of the smaller triangle is 12×2×7=7 sq units .

The scaler factor of 3:1 is related to the ratio of the area 32:12=9:1 .

Hence, the scaler factor of the ratio of the area is 9:1 .

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Chapter 7.3, Problem 33PPS
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Chapter 7.3, Problem 35PPS

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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