Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN: 9780079039897
Author: Carter
Publisher: McGraw Hill
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Equations and Inequations
Equations and inequalities describe the relationship between two mathematical expressions.
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A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.
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Chapter 2.4, Problem 52PFA

(a)

To determine

Write an equation to show the perimeter of the square and the Triangle is same.

(a)

Expert Solution
Check Mark

Answer to Problem 52PFA

  16x−12=  15x  −9

Explanation of Solution

Given:

The figure of square with side 4x−3 and an equilateral triangle 5x−3

Condition given: both the figure have same perimeter.

Concept Used:

Square is having all 4 sides are equal and the Equilateral Triangle has 3 equal sides.

Perimeter of the square is 4 times its one side and the perimeter of an equilateral triangle is 3 times its one side.

Calculation:

Perimeter of Square = 4  ·  side  =  4  ·  (4x−3)  =  16x  −12

Perimeter of Equilateral Triangle = 3  ·  side  =  3  ·  (5x−3)  =  15x  −9

According to the condition both the perimeters are same.

Perimeter of Square = Perimeter of Equilateral Triangle

Equation: 16x−12=  15x  −9

Thus, the required equation is 16x−12=  15x  −9

(b)

To determine

Write all the steps with explanation while solving the equation.

(b)

Expert Solution
Check Mark

Answer to Problem 52PFA

  x   =   3

Explanation of Solution

Given:

The figure of square with side 4x−3 and an equilateral triangle 5x−3

Condition given: both the figure have same perimeter.

Concept Used:

Square is having all 4 sides are equal and the Equilateral Triangle has 3 equal sides.

Perimeter of the square is 4 times its one side and the perimeter of an equilateral triangle is 3 times its one side.

Calculation:

Perimeter of Square = 4  ·  side  =  4  ·  (4x−3)  =  16x  −12

Perimeter of Equilateral Triangle = 3  ·  side  =  3  ·  (5x−3)  =  15x  −9

According to the condition both the perimeters are same.

Perimeter of Square = Perimeter of Equilateral Triangle

  4  ·  (4x−3)  =  3  ·  (5x−3)  

Equation: 16x−12=  15x  −9

  4  ·  (4x−3)  =  3  ·  (5x−3)  16x−12=  15x  −9  [  open  the  parenthesis  ]16x−15x−12=15x−15x−9  [ Subtract  15x  from  both  sides ]            x  −  12  =  −9          x  −  12  =  −9  +  12            x   =   3

Thus, the solution of the equation 16x−12=  15x  −9 is x   =   3

(c)

To determine

Find the length of the side of the square.

(c)

Expert Solution
Check Mark

Answer to Problem 52PFA

  9  unit

Explanation of Solution

Given:

The figure of square with side Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018, Chapter 2.4, Problem 52PFA , additional homework tip 1and an equilateral triangle Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018, Chapter 2.4, Problem 52PFA , additional homework tip 2

Condition given: both the figure have same perimeter.

Concept Used:

Square is having all 4 sides are equal and the Equilateral Triangle has 3 equal sides.

Perimeter of the square is 4 times its one side and the perimeter of an equilateral triangle is 3 times its one side.

Calculation:

The side of the square: 4x−3=4  · 3  −  3  =  12  −  3  =  9 

Thus, the length of the side of the square is 9  unit

(d)

To determine

Find the length of the side of the Triangle.

(d)

Expert Solution
Check Mark

Answer to Problem 52PFA

  12 unit

Explanation of Solution

Given:

The figure of square with side Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018, Chapter 2.4, Problem 52PFA , additional homework tip 3and an equilateral triangle Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018, Chapter 2.4, Problem 52PFA , additional homework tip 4

Condition given: both the figure have same perimeter.

Concept Used:

Square is having all 4 sides are equal and the Equilateral Triangle has 3 equal sides.

Perimeter of the square is 4 times its one side and the perimeter of an equilateral triangle is 3 times its one side.

Calculation:

Length of the side of the Triangle: 5x−3=5  · 3  −  3  =  15  −  3  =  12 

Thus, the length of the side of the Triangle is 12 unit

(e)

To determine

Find the area of the square.

(e)

Expert Solution
Check Mark

Answer to Problem 52PFA

   81 sq unit

Explanation of Solution

Given:

The figure of square with side Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018, Chapter 2.4, Problem 52PFA , additional homework tip 5and an equilateral triangle Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018, Chapter 2.4, Problem 52PFA , additional homework tip 6

Concept Used:

Square is having all 4 sides are equal

Area of the square is side times side: side  ·  side

Calculation:

The length of the side of the square is 9  unit

Area of the square = side  ·  side  =   9  ·  9   =   81 sq unit

Thus, the area of the square is  81 sq unit

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Chapter 2.4, Problem 51PFA
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Chapter 2.4, Problem 53PFA

Chapter 2 Solutions

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

Ch. 2.1 - Prob. 1AGPCh. 2.1 - Prob. 1BGPCh. 2.1 - Prob. 2GPCh. 2.1 - Prob. 3GPCh. 2.1 - Prob. 4AGPCh. 2.1 - Prob. 4BGPCh. 2.1 - Prob. 5GPCh. 2.1 - Prob. 1CYUCh. 2.1 - Prob. 2CYUCh. 2.1 - Prob. 3CYU
Ch. 2.1 - Prob. 4CYUCh. 2.1 - Prob. 5CYUCh. 2.1 - Prob. 6CYUCh. 2.1 - Prob. 7CYUCh. 2.1 - Prob. 8CYUCh. 2.1 - Prob. 9CYUCh. 2.1 - Prob. 10CYUCh. 2.1 - Prob. 11CYUCh. 2.1 - Prob. 12CYUCh. 2.1 - Prob. 13CYUCh. 2.1 - Prob. 14CYUCh. 2.1 - Prob. 15CYUCh. 2.1 - Prob. 16CYUCh. 2.1 - Prob. 17CYUCh. 2.1 - Prob. 18CYUCh. 2.1 - Prob. 19CYUCh. 2.1 - Prob. 20CYUCh. 2.1 - Prob. 21PPSCh. 2.1 - Prob. 22PPSCh. 2.1 - Prob. 23PPSCh. 2.1 - Prob. 24PPSCh. 2.1 - Prob. 25PPSCh. 2.1 - Prob. 26PPSCh. 2.1 - Prob. 27PPSCh. 2.1 - Prob. 28PPSCh. 2.1 - Prob. 29PPSCh. 2.1 - Prob. 30PPSCh. 2.1 - Prob. 31PPSCh. 2.1 - Prob. 32PPSCh. 2.1 - Prob. 33PPSCh. 2.1 - Prob. 34PPSCh. 2.1 - Prob. 35PPSCh. 2.1 - Prob. 36PPSCh. 2.1 - Prob. 37PPSCh. 2.1 - Prob. 38PPSCh. 2.1 - Prob. 39PPSCh. 2.1 - Prob. 40PPSCh. 2.1 - Prob. 41PPSCh. 2.1 - Prob. 42PPSCh. 2.1 - Prob. 43PPSCh. 2.1 - Prob. 44PPSCh. 2.1 - Prob. 45PPSCh. 2.1 - Prob. 46PPSCh. 2.1 - Prob. 47HPCh. 2.1 - Prob. 48HPCh. 2.1 - Prob. 49HPCh. 2.1 - Prob. 50HPCh. 2.1 - Prob. 51PFACh. 2.1 - Prob. 52PFACh. 2.1 - Prob. 53PFACh. 2.1 - Prob. 54PFACh. 2.1 - Prob. 55PFACh. 2.1 - Prob. 56PFACh. 2.2 - Prob. 1AGPCh. 2.2 - Prob. 1BGPCh. 2.2 - Prob. 2AGPCh. 2.2 - Prob. 2BGPCh. 2.2 - Prob. 3AGPCh. 2.2 - Prob. 3BGPCh. 2.2 - Prob. 4GPCh. 2.2 - Prob. 1CYUCh. 2.2 - Prob. 2CYUCh. 2.2 - Prob. 3CYUCh. 2.2 - Prob. 4CYUCh. 2.2 - Prob. 5CYUCh. 2.2 - Prob. 6CYUCh. 2.2 - Prob. 7CYUCh. 2.2 - Prob. 8CYUCh. 2.2 - Prob. 9CYUCh. 2.2 - Prob. 10CYUCh. 2.2 - Prob. 11CYUCh. 2.2 - Prob. 12CYUCh. 2.2 - Prob. 13CYUCh. 2.2 - Prob. 14CYUCh. 2.2 - Prob. 15CYUCh. 2.2 - Prob. 16CYUCh. 2.2 - Prob. 17CYUCh. 2.2 - Prob. 18PPSCh. 2.2 - Prob. 19PPSCh. 2.2 - Prob. 20PPSCh. 2.2 - Prob. 21PPSCh. 2.2 - Prob. 22PPSCh. 2.2 - Prob. 23PPSCh. 2.2 - Prob. 24PPSCh. 2.2 - Prob. 25PPSCh. 2.2 - Prob. 26PPSCh. 2.2 - Prob. 27PPSCh. 2.2 - Prob. 28PPSCh. 2.2 - Prob. 29PPSCh. 2.2 - Prob. 30PPSCh. 2.2 - Prob. 31PPSCh. 2.2 - Prob. 32PPSCh. 2.2 - Prob. 33PPSCh. 2.2 - Prob. 34PPSCh. 2.2 - Prob. 35PPSCh. 2.2 - Prob. 36PPSCh. 2.2 - Prob. 37PPSCh. 2.2 - Prob. 38PPSCh. 2.2 - Prob. 39PPSCh. 2.2 - Prob. 40PPSCh. 2.2 - Prob. 41PPSCh. 2.2 - Prob. 42PPSCh. 2.2 - Prob. 43PPSCh. 2.2 - Prob. 44PPSCh. 2.2 - Prob. 45PPSCh. 2.2 - Prob. 46PPSCh. 2.2 - Prob. 47PPSCh. 2.2 - Prob. 48PPSCh. 2.2 - Prob. 49PPSCh. 2.2 - Prob. 50PPSCh. 2.2 - Prob. 51PPSCh. 2.2 - Prob. 52PPSCh. 2.2 - Prob. 53PPSCh. 2.2 - Prob. 54PPSCh. 2.2 - Prob. 55PPSCh. 2.2 - Prob. 56PPSCh. 2.2 - Prob. 57PPSCh. 2.2 - Prob. 58PPSCh. 2.2 - Prob. 59PPSCh. 2.2 - Prob. 60PPSCh. 2.2 - Prob. 61PPSCh. 2.2 - Prob. 62PPSCh. 2.2 - Prob. 63PPSCh. 2.2 - Prob. 64PPSCh. 2.2 - Prob. 65PPSCh. 2.2 - Prob. 66PPSCh. 2.2 - Prob. 67PPSCh. 2.2 - Prob. 68PPSCh. 2.2 - Prob. 69PPSCh. 2.2 - Prob. 70PPSCh. 2.2 - Prob. 71PPSCh. 2.2 - Prob. 72HPCh. 2.2 - Prob. 73HPCh. 2.2 - Prob. 74HPCh. 2.2 - Prob. 75HPCh. 2.2 - Prob. 76HPCh. 2.2 - Prob. 77HPCh. 2.2 - Prob. 78HPCh. 2.2 - Prob. 79PFACh. 2.2 - Prob. 80PFACh. 2.2 - Prob. 81PFACh. 2.2 - Prob. 82PFACh. 2.2 - Prob. 83PFACh. 2.3 - Prob. 1AGPCh. 2.3 - Prob. 1BGPCh. 2.3 - Prob. 2AGPCh. 2.3 - Prob. 2BGPCh. 2.3 - Prob. 3GPCh. 2.3 - Prob. 1CYUCh. 2.3 - Prob. 2CYUCh. 2.3 - Prob. 3CYUCh. 2.3 - Prob. 4CYUCh. 2.3 - Prob. 5CYUCh. 2.3 - Prob. 6CYUCh. 2.3 - Prob. 7CYUCh. 2.3 - Prob. 8CYUCh. 2.3 - Prob. 9CYUCh. 2.3 - Prob. 10CYUCh. 2.3 - Prob. 11PPSCh. 2.3 - Prob. 12PPSCh. 2.3 - Prob. 13PPSCh. 2.3 - Prob. 14PPSCh. 2.3 - Prob. 15PPSCh. 2.3 - Prob. 16PPSCh. 2.3 - Prob. 17PPSCh. 2.3 - Prob. 18PPSCh. 2.3 - Prob. 19PPSCh. 2.3 - Prob. 20PPSCh. 2.3 - Prob. 21PPSCh. 2.3 - Prob. 22PPSCh. 2.3 - Prob. 23PPSCh. 2.3 - Prob. 24PPSCh. 2.3 - Prob. 25PPSCh. 2.3 - Prob. 26PPSCh. 2.3 - Prob. 27PPSCh. 2.3 - Prob. 28PPSCh. 2.3 - Prob. 29PPSCh. 2.3 - Prob. 30PPSCh. 2.3 - Prob. 31PPSCh. 2.3 - Prob. 32PPSCh. 2.3 - Prob. 33PPSCh. 2.3 - Prob. 34PPSCh. 2.3 - Prob. 35PPSCh. 2.3 - Prob. 36PPSCh. 2.3 - Prob. 37PPSCh. 2.3 - Prob. 38PPSCh. 2.3 - Prob. 39PPSCh. 2.3 - Prob. 40PPSCh. 2.3 - Prob. 41PPSCh. 2.3 - Prob. 42PPSCh. 2.3 - Prob. 43PPSCh. 2.3 - Prob. 44PPSCh. 2.3 - Prob. 45PPSCh. 2.3 - Prob. 46PPSCh. 2.3 - Prob. 47PPSCh. 2.3 - Prob. 48PPSCh. 2.3 - Prob. 49PPSCh. 2.3 - Prob. 50PPSCh. 2.3 - Prob. 51PPSCh. 2.3 - Prob. 52PPSCh. 2.3 - Prob. 53HPCh. 2.3 - Prob. 54HPCh. 2.3 - Prob. 55HPCh. 2.3 - Prob. 56HPCh. 2.3 - Prob. 57HPCh. 2.3 - Prob. 58PFACh. 2.3 - Prob. 59PFACh. 2.3 - Prob. 60PFACh. 2.3 - Prob. 61PFACh. 2.3 - Prob. 62PFACh. 2.3 - Prob. 63PFACh. 2.3 - Prob. 64PFACh. 2.4 - Prob. 1AGPCh. 2.4 - Prob. 1BGPCh. 2.4 - Prob. 1CGPCh. 2.4 - Prob. 1DGPCh. 2.4 - Prob. 2AGPCh. 2.4 - Prob. 2BGPCh. 2.4 - Prob. 3AGPCh. 2.4 - Prob. 3BGPCh. 2.4 - Prob. 4GPCh. 2.4 - Prob. 1CYUCh. 2.4 - Prob. 2CYUCh. 2.4 - Prob. 3CYUCh. 2.4 - Prob. 4CYUCh. 2.4 - Prob. 5CYUCh. 2.4 - Prob. 6CYUCh. 2.4 - Prob. 7CYUCh. 2.4 - Prob. 8CYUCh. 2.4 - Prob. 9CYUCh. 2.4 - Prob. 10PPSCh. 2.4 - Prob. 11PPSCh. 2.4 - Prob. 12PPSCh. 2.4 - Prob. 13PPSCh. 2.4 - Prob. 14PPSCh. 2.4 - Prob. 15PPSCh. 2.4 - Prob. 16PPSCh. 2.4 - Prob. 17PPSCh. 2.4 - Prob. 18PPSCh. 2.4 - Prob. 19PPSCh. 2.4 - Prob. 20PPSCh. 2.4 - Prob. 21PPSCh. 2.4 - Prob. 22PPSCh. 2.4 - Prob. 23PPSCh. 2.4 - Prob. 24PPSCh. 2.4 - Prob. 25PPSCh. 2.4 - Prob. 26PPSCh. 2.4 - Prob. 27PPSCh. 2.4 - Prob. 28PPSCh. 2.4 - Prob. 29PPSCh. 2.4 - Prob. 30PPSCh. 2.4 - Prob. 31PPSCh. 2.4 - Prob. 32PPSCh. 2.4 - Prob. 33PPSCh. 2.4 - Prob. 34PPSCh. 2.4 - Prob. 35PPSCh. 2.4 - Prob. 36PPSCh. 2.4 - Prob. 37PPSCh. 2.4 - Prob. 38PPSCh. 2.4 - Prob. 39PPSCh. 2.4 - Prob. 40PPSCh. 2.4 - Prob. 41PPSCh. 2.4 - Prob. 42HPCh. 2.4 - Prob. 43HPCh. 2.4 - Prob. 44HPCh. 2.4 - Prob. 45HPCh. 2.4 - Prob. 46HPCh. 2.4 - Prob. 47HPCh. 2.4 - Prob. 48PFACh. 2.4 - Prob. 49PFACh. 2.4 - Prob. 50PFACh. 2.4 - Prob. 51PFACh. 2.4 - Prob. 52PFACh. 2.4 - Prob. 53PFACh. 2.4 - Prob. 54PFACh. 2.4 - Prob. 55PFACh. 2.4 - Prob. 56PFACh. 2.5 - Prob. 1GPCh. 2.5 - Prob. 2AGPCh. 2.5 - Prob. 2BGPCh. 2.5 - Prob. 3GPCh. 2.5 - Prob. 4GPCh. 2.5 - Prob. 1CYUCh. 2.5 - Prob. 2CYUCh. 2.5 - Prob. 3CYUCh. 2.5 - Prob. 4CYUCh. 2.5 - Prob. 5CYUCh. 2.5 - Prob. 6CYUCh. 2.5 - Prob. 7CYUCh. 2.5 - Prob. 8CYUCh. 2.5 - Prob. 9CYUCh. 2.5 - Prob. 10CYUCh. 2.5 - Prob. 11CYUCh. 2.5 - Prob. 12CYUCh. 2.5 - Prob. 13PPSCh. 2.5 - Prob. 14PPSCh. 2.5 - Prob. 15PPSCh. 2.5 - Prob. 16PPSCh. 2.5 - Prob. 17PPSCh. 2.5 - Prob. 18PPSCh. 2.5 - Prob. 19PPSCh. 2.5 - Prob. 20PPSCh. 2.5 - Prob. 21PPSCh. 2.5 - Prob. 22PPSCh. 2.5 - Prob. 23PPSCh. 2.5 - Prob. 24PPSCh. 2.5 - Prob. 25PPSCh. 2.5 - Prob. 26PPSCh. 2.5 - Prob. 27PPSCh. 2.5 - Prob. 28PPSCh. 2.5 - Prob. 29PPSCh. 2.5 - Prob. 30PPSCh. 2.5 - Prob. 31PPSCh. 2.5 - Prob. 32PPSCh. 2.5 - Prob. 33PPSCh. 2.5 - Prob. 34PPSCh. 2.5 - Prob. 35PPSCh. 2.5 - Prob. 36PPSCh. 2.5 - Prob. 37PPSCh. 2.5 - Prob. 38PPSCh. 2.5 - Prob. 39PPSCh. 2.5 - Prob. 40PPSCh. 2.5 - Prob. 41PPSCh. 2.5 - Prob. 42PPSCh. 2.5 - Prob. 43PPSCh. 2.5 - Prob. 44PPSCh. 2.5 - Prob. 45PPSCh. 2.5 - Prob. 46PPSCh. 2.5 - Prob. 47PPSCh. 2.5 - Prob. 48PPSCh. 2.5 - Prob. 49PPSCh. 2.5 - Prob. 50PPSCh. 2.5 - Prob. 51PPSCh. 2.5 - Prob. 52PPSCh. 2.5 - Prob. 53PPSCh. 2.5 - Prob. 54PPSCh. 2.5 - Prob. 55PPSCh. 2.5 - Prob. 56HPCh. 2.5 - Prob. 57HPCh. 2.5 - Prob. 58HPCh. 2.5 - Prob. 59HPCh. 2.5 - Prob. 60HPCh. 2.5 - Prob. 61HPCh. 2.5 - Prob. 62HPCh. 2.5 - Prob. 63HPCh. 2.5 - Prob. 64HPCh. 2.5 - Prob. 65PFACh. 2.5 - Prob. 66PFACh. 2.5 - Prob. 67PFACh. 2.5 - Prob. 68PFACh. 2.5 - Prob. 69PFACh. 2.5 - Prob. 70PFACh. 2.5 - Prob. 71PFACh. 2.5 - Prob. 72PFACh. 2.5 - Prob. 73PFACh. 2.5 - Prob. 74PFACh. 2.6 - Prob. 1AGPCh. 2.6 - Prob. 1BGPCh. 2.6 - Prob. 2AGPCh. 2.6 - Prob. 2BGPCh. 2.6 - Prob. 3AGPCh. 2.6 - Prob. 3BGPCh. 2.6 - Prob. 4GPCh. 2.6 - Prob. 5GPCh. 2.6 - Prob. 1CYUCh. 2.6 - Prob. 2CYUCh. 2.6 - Prob. 3CYUCh. 2.6 - Prob. 4CYUCh. 2.6 - Prob. 5CYUCh. 2.6 - Prob. 6CYUCh. 2.6 - Prob. 7CYUCh. 2.6 - Prob. 8CYUCh. 2.6 - Prob. 9PPSCh. 2.6 - Prob. 10PPSCh. 2.6 - Prob. 11PPSCh. 2.6 - Prob. 12PPSCh. 2.6 - Prob. 13PPSCh. 2.6 - Prob. 14PPSCh. 2.6 - Prob. 15PPSCh. 2.6 - Prob. 16PPSCh. 2.6 - Prob. 17PPSCh. 2.6 - Prob. 18PPSCh. 2.6 - Prob. 19PPSCh. 2.6 - Prob. 20PPSCh. 2.6 - Prob. 21PPSCh. 2.6 - Prob. 22PPSCh. 2.6 - Prob. 23PPSCh. 2.6 - Prob. 24PPSCh. 2.6 - Prob. 25PPSCh. 2.6 - Prob. 26PPSCh. 2.6 - Prob. 27PPSCh. 2.6 - Prob. 28PPSCh. 2.6 - Prob. 29PPSCh. 2.6 - Prob. 30PPSCh. 2.6 - Prob. 31PPSCh. 2.6 - Prob. 32PPSCh. 2.6 - Prob. 33PPSCh. 2.6 - Prob. 34PPSCh. 2.6 - Prob. 35PPSCh. 2.6 - Prob. 36PPSCh. 2.6 - Prob. 37PPSCh. 2.6 - Prob. 38PPSCh. 2.6 - Prob. 39PPSCh. 2.6 - Prob. 40PPSCh. 2.6 - Prob. 41PPSCh. 2.6 - Prob. 42PPSCh. 2.6 - Prob. 43PPSCh. 2.6 - Prob. 44PPSCh. 2.6 - Prob. 45PPSCh. 2.6 - Prob. 46HPCh. 2.6 - Prob. 47HPCh. 2.6 - Prob. 48HPCh. 2.6 - Prob. 49HPCh. 2.6 - Prob. 50HPCh. 2.6 - Prob. 51PFACh. 2.6 - Prob. 52PFACh. 2.6 - Prob. 53PFACh. 2.6 - Prob. 54PFACh. 2.6 - Prob. 55PFACh. 2.6 - Prob. 56PFACh. 2.6 - Prob. 57PFACh. 2.6 - Prob. 58PFACh. 2.6 - Prob. 59PFACh. 2.6 - Prob. 60PFACh. 2.7 - Prob. 1AGPCh. 2.7 - Prob. 1BGPCh. 2.7 - Prob. 1CGPCh. 2.7 - Prob. 1DGPCh. 2.7 - Prob. 2AGPCh. 2.7 - Prob. 2BGPCh. 2.7 - Prob. 3GPCh. 2.7 - Prob. 4GPCh. 2.7 - Prob. 1CYUCh. 2.7 - Prob. 2CYUCh. 2.7 - Prob. 3CYUCh. 2.7 - Prob. 4CYUCh. 2.7 - Prob. 5CYUCh. 2.7 - Prob. 6CYUCh. 2.7 - Prob. 7CYUCh. 2.7 - Prob. 8PPSCh. 2.7 - Prob. 9PPSCh. 2.7 - Prob. 10PPSCh. 2.7 - Prob. 11PPSCh. 2.7 - Prob. 12PPSCh. 2.7 - Prob. 13PPSCh. 2.7 - Prob. 14PPSCh. 2.7 - Prob. 15PPSCh. 2.7 - Prob. 16PPSCh. 2.7 - Prob. 17PPSCh. 2.7 - Prob. 18PPSCh. 2.7 - Prob. 19PPSCh. 2.7 - Prob. 20PPSCh. 2.7 - Prob. 21PPSCh. 2.7 - Prob. 22PPSCh. 2.7 - Prob. 23PPSCh. 2.7 - Prob. 24PPSCh. 2.7 - Prob. 25PPSCh. 2.7 - Prob. 26PPSCh. 2.7 - Prob. 27PPSCh. 2.7 - Prob. 28PPSCh. 2.7 - Prob. 29PPSCh. 2.7 - Prob. 30PPSCh. 2.7 - Prob. 31PPSCh. 2.7 - Prob. 32PPSCh. 2.7 - Prob. 33PPSCh. 2.7 - Prob. 34PPSCh. 2.7 - Prob. 35HPCh. 2.7 - Prob. 36HPCh. 2.7 - Prob. 37HPCh. 2.7 - Prob. 38HPCh. 2.7 - Prob. 39HPCh. 2.7 - Prob. 40HPCh. 2.7 - Prob. 41PFACh. 2.7 - Prob. 42PFACh. 2.7 - Prob. 43PFACh. 2.7 - Prob. 44PFACh. 2.7 - Prob. 45PFACh. 2.7 - Prob. 46PFACh. 2.7 - Prob. 47PFACh. 2.7 - Prob. 48PFACh. 2.7 - Prob. 49PFACh. 2 - Prob. 1SGRCh. 2 - Prob. 2SGRCh. 2 - Prob. 3SGRCh. 2 - Prob. 4SGRCh. 2 - Prob. 5SGRCh. 2 - Prob. 6SGRCh. 2 - Prob. 7SGRCh. 2 - Prob. 8SGRCh. 2 - Prob. 9SGRCh. 2 - Prob. 10SGRCh. 2 - Prob. 11SGRCh. 2 - Prob. 12SGRCh. 2 - Prob. 13SGRCh. 2 - Prob. 14SGRCh. 2 - Prob. 15SGRCh. 2 - Prob. 16SGRCh. 2 - Prob. 17SGRCh. 2 - Prob. 18SGRCh. 2 - Prob. 19SGRCh. 2 - Prob. 20SGRCh. 2 - Prob. 21SGRCh. 2 - Prob. 22SGRCh. 2 - Prob. 23SGRCh. 2 - Prob. 24SGRCh. 2 - Prob. 25SGRCh. 2 - Prob. 26SGRCh. 2 - Prob. 27SGRCh. 2 - Prob. 28SGRCh. 2 - Prob. 29SGRCh. 2 - Prob. 30SGRCh. 2 - Prob. 31SGRCh. 2 - Prob. 32SGRCh. 2 - Prob. 33SGRCh. 2 - Prob. 34SGRCh. 2 - Prob. 35SGRCh. 2 - Prob. 36SGRCh. 2 - Prob. 37SGRCh. 2 - Prob. 38SGRCh. 2 - Prob. 39SGRCh. 2 - Prob. 40SGRCh. 2 - Prob. 41SGRCh. 2 - Prob. 42SGRCh. 2 - Prob. 43SGRCh. 2 - Prob. 44SGRCh. 2 - Prob. 45SGRCh. 2 - Prob. 46SGRCh. 2 - Prob. 47SGRCh. 2 - Prob. 48SGRCh. 2 - Prob. 49SGRCh. 2 - Prob. 50SGRCh. 2 - Prob. 51SGRCh. 2 - Prob. 52SGRCh. 2 - Prob. 53SGRCh. 2 - Prob. 54SGRCh. 2 - Prob. 55SGRCh. 2 - Prob. 56SGRCh. 2 - Prob. 57SGRCh. 2 - Prob. 58SGRCh. 2 - Prob. 59SGRCh. 2 - Prob. 60SGRCh. 2 - Prob. 61SGRCh. 2 - Prob. 62SGRCh. 2 - Prob. 63SGRCh. 2 - Prob. 64SGRCh. 2 - Prob. 65SGRCh. 2 - Prob. 66SGRCh. 2 - Prob. 67SGRCh. 2 - Prob. 68SGRCh. 2 - Prob. 69SGRCh. 2 - Prob. 70SGRCh. 2 - Prob. 71SGRCh. 2 - Prob. 72SGRCh. 2 - Prob. 73SGRCh. 2 - Prob. 74SGRCh. 2 - Prob. 75SGRCh. 2 - Prob. 76SGRCh. 2 - Prob. 77SGRCh. 2 - Prob. 78SGRCh. 2 - Prob. 79SGRCh. 2 - Prob. 1PTCh. 2 - Prob. 2PTCh. 2 - Prob. 3PTCh. 2 - Prob. 4PTCh. 2 - Prob. 5PTCh. 2 - Prob. 6PTCh. 2 - Prob. 7PTCh. 2 - Prob. 8PTCh. 2 - Prob. 9PTCh. 2 - Prob. 10PTCh. 2 - Prob. 11PTCh. 2 - Prob. 12PTCh. 2 - Prob. 13PTCh. 2 - Prob. 14PTCh. 2 - Prob. 15PTCh. 2 - Prob. 16PTCh. 2 - Prob. 17PTCh. 2 - Prob. 18PTCh. 2 - Prob. 19PTCh. 2 - Prob. 20PTCh. 2 - Prob. 21PTCh. 2 - Prob. 22PTCh. 2 - Prob. 23PTCh. 2 - Prob. 24PTCh. 2 - Prob. 25PTCh. 2 - Prob. 1PFACh. 2 - Prob. 2PFACh. 2 - Prob. 3PFACh. 2 - Prob. 4PFACh. 2 - Prob. 5PFACh. 2 - Prob. 6PFACh. 2 - Prob. 7PFACh. 2 - Prob. 8PFACh. 2 - Prob. 9PFACh. 2 - Prob. 10PFACh. 2 - Prob. 11PFACh. 2 - Prob. 12PFACh. 2 - Prob. 13PFACh. 2 - Prob. 14PFACh. 2 - Prob. 15PFA

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