Glencoe Algebra 2 Student Edition C2014
1st Edition
ISBN: 9780076639908
Author: McGraw-Hill Glencoe
Publisher: MCG
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Question
Chapter 12.4, Problem 46HP
To determine
To find: The side lengths of two different
Expert Solution & Answer
Answer to Problem 46HP
a=20,b=23.6,c=8.4
a=10,b=11.8,c=4.2
Explanation of Solution
Given information:
A=550C=200
Given
A=550C=200
We know
Sum of Angles of a triangle is 1800
Using that
We get
A+B+C=1800⇒550+B+200=1800⇒750+B=1800⇒B=1800−750⇒B=1050
Using law of sines
We get
sinAa=sinBb⇒sin550a=sin1050b⇒b=asin1050sin550⇒b=a(0.966)0.82⇒b=1.18a
Again, using law of sines
We get
sinAa=sinCc⇒sin550a=sin200c⇒c=asin200sin550⇒c=a(0.342)0.82⇒c=0.42a
Therefore,
The side lengths will be in the ratio
a:b:c=a:1.18a:0.42a⇒a:b:c=1:1.18:0.42
Therefore,
If a=10
Then
b=1.18a⇒b=1.18a×10⇒b=11.8
c=0.42a⇒c=0.42a×10⇒c=4.2
One possible set is
a=10,b=11.8,c=4.2
If a=20
Then
b=1.18a⇒b=1.18a×20⇒b=23.6
c=0.42a⇒c=0.42a×20⇒c=8.4
Another set is
a=20,b=23.6,c=8.4
Chapter 12 Solutions
Glencoe Algebra 2 Student Edition C2014
Ch. 12.1 - Prob. 1GPCh. 12.1 - Prob. 2GPCh. 12.1 - Prob. 3AGPCh. 12.1 - Prob. 3BGPCh. 12.1 - Prob. 4GPCh. 12.1 - Prob. 5AGPCh. 12.1 - Prob. 5BGPCh. 12.1 - Prob. 6AGPCh. 12.1 - Prob. 6BGPCh. 12.1 - Prob. 1CYU
Ch. 12.1 - Prob. 2CYUCh. 12.1 - Prob. 3CYUCh. 12.1 - Prob. 4CYUCh. 12.1 - Prob. 5CYUCh. 12.1 - Prob. 6CYUCh. 12.1 - Prob. 7CYUCh. 12.1 - Prob. 8CYUCh. 12.1 - Prob. 9CYUCh. 12.1 - Prob. 10CYUCh. 12.1 - Prob. 11CYUCh. 12.1 - Prob. 12CYUCh. 12.1 - Prob. 13PPSCh. 12.1 - Prob. 14PPSCh. 12.1 - Prob. 15PPSCh. 12.1 - Prob. 16PPSCh. 12.1 - Prob. 17PPSCh. 12.1 - Prob. 18PPSCh. 12.1 - Prob. 19PPSCh. 12.1 - Prob. 20PPSCh. 12.1 - Prob. 21PPSCh. 12.1 - Prob. 22PPSCh. 12.1 - Prob. 23PPSCh. 12.1 - Prob. 24PPSCh. 12.1 - Prob. 25PPSCh. 12.1 - Prob. 26PPSCh. 12.1 - Prob. 27PPSCh. 12.1 - Prob. 28PPSCh. 12.1 - Prob. 29PPSCh. 12.1 - Prob. 30PPSCh. 12.1 - Prob. 31PPSCh. 12.1 - Prob. 32PPSCh. 12.1 - Prob. 33PPSCh. 12.1 - Prob. 34PPSCh. 12.1 - Prob. 35PPSCh. 12.1 - Prob. 36PPSCh. 12.1 - Prob. 37PPSCh. 12.1 - Prob. 38PPSCh. 12.1 - Prob. 39PPSCh. 12.1 - Prob. 40PPSCh. 12.1 - Prob. 41PPSCh. 12.1 - Prob. 42PPSCh. 12.1 - Prob. 43PPSCh. 12.1 - Prob. 44PPSCh. 12.1 - Prob. 45PPSCh. 12.1 - Prob. 46PPSCh. 12.1 - Prob. 47PPSCh. 12.1 - Prob. 48PPSCh. 12.1 - Prob. 49PPSCh. 12.1 - Prob. 50PPSCh. 12.1 - Prob. 51PPSCh. 12.1 - Prob. 52PPSCh. 12.1 - Prob. 53PPSCh. 12.1 - Prob. 54HPCh. 12.1 - Prob. 55HPCh. 12.1 - Prob. 56HPCh. 12.1 - Prob. 57HPCh. 12.1 - Prob. 58STPCh. 12.1 - Prob. 59STPCh. 12.1 - Prob. 60STPCh. 12.1 - Prob. 61STPCh. 12.1 - Prob. 62SRCh. 12.1 - Prob. 63SRCh. 12.1 - Prob. 64SRCh. 12.1 - Prob. 65SRCh. 12.1 - Prob. 66SRCh. 12.1 - Prob. 67SCh. 12.1 - Prob. 68SCh. 12.1 - Prob. 69SCh. 12.1 - Prob. 70SCh. 12.1 - Prob. 71SCh. 12.1 - Prob. 72SCh. 12.2 - Prob. 1AGPCh. 12.2 - Prob. 1BGPCh. 12.2 - Prob. 2GPCh. 12.2 - Prob. 3AGPCh. 12.2 - Prob. 3BGPCh. 12.2 - Prob. 4AGPCh. 12.2 - Prob. 4BGPCh. 12.2 - Prob. 5GPCh. 12.2 - Prob. 1CYUCh. 12.2 - Prob. 2CYUCh. 12.2 - Prob. 3CYUCh. 12.2 - Prob. 4CYUCh. 12.2 - Prob. 5CYUCh. 12.2 - Prob. 6CYUCh. 12.2 - Prob. 7CYUCh. 12.2 - Prob. 8CYUCh. 12.2 - Prob. 9CYUCh. 12.2 - Prob. 10CYUCh. 12.2 - Prob. 11PPSCh. 12.2 - Prob. 12PPSCh. 12.2 - Prob. 13PPSCh. 12.2 - Prob. 14PPSCh. 12.2 - Prob. 15PPSCh. 12.2 - Prob. 16PPSCh. 12.2 - Prob. 17PPSCh. 12.2 - Prob. 18PPSCh. 12.2 - Prob. 19PPSCh. 12.2 - Prob. 20PPSCh. 12.2 - Prob. 21PPSCh. 12.2 - Prob. 22PPSCh. 12.2 - Prob. 23PPSCh. 12.2 - Prob. 24PPSCh. 12.2 - Prob. 25PPSCh. 12.2 - Prob. 26PPSCh. 12.2 - Prob. 27PPSCh. 12.2 - Prob. 28PPSCh. 12.2 - Prob. 29PPSCh. 12.2 - Prob. 30PPSCh. 12.2 - Prob. 31PPSCh. 12.2 - Prob. 32PPSCh. 12.2 - Prob. 33PPSCh. 12.2 - Prob. 34PPSCh. 12.2 - Prob. 35PPSCh. 12.2 - Prob. 36PPSCh. 12.2 - Prob. 37PPSCh. 12.2 - Prob. 38PPSCh. 12.2 - Prob. 39PPSCh. 12.2 - Prob. 40PPSCh. 12.2 - Prob. 41PPSCh. 12.2 - Prob. 42PPSCh. 12.2 - Prob. 43PPSCh. 12.2 - Prob. 44PPSCh. 12.2 - Prob. 45PPSCh. 12.2 - Prob. 46PPSCh. 12.2 - Prob. 47PPSCh. 12.2 - Prob. 48HPCh. 12.2 - Prob. 49HPCh. 12.2 - Prob. 50HPCh. 12.2 - Prob. 51HPCh. 12.2 - Prob. 52HPCh. 12.2 - Prob. 53HPCh. 12.2 - Prob. 54STPCh. 12.2 - Prob. 55STPCh. 12.2 - Prob. 56STPCh. 12.2 - Prob. 57STPCh. 12.2 - Prob. 58SRCh. 12.2 - Prob. 59SRCh. 12.2 - Prob. 60SRCh. 12.2 - Prob. 61SRCh. 12.2 - Prob. 62SRCh. 12.2 - Prob. 63SRCh. 12.2 - Prob. 64SRCh. 12.2 - Prob. 65SCh. 12.2 - Prob. 66SCh. 12.2 - Prob. 67SCh. 12.2 - Prob. 1ECh. 12.2 - Prob. 2ECh. 12.2 - Prob. 3ECh. 12.3 - Prob. 1GPCh. 12.3 - Prob. 2GPCh. 12.3 - Prob. 3AGPCh. 12.3 - Prob. 3BGPCh. 12.3 - Prob. 4AGPCh. 12.3 - Prob. 4BGPCh. 12.3 - Prob. 5GPCh. 12.3 - Prob. 1CYUCh. 12.3 - Prob. 2CYUCh. 12.3 - Prob. 3CYUCh. 12.3 - Prob. 4CYUCh. 12.3 - Prob. 5CYUCh. 12.3 - Prob. 6CYUCh. 12.3 - Prob. 7CYUCh. 12.3 - Prob. 8CYUCh. 12.3 - Prob. 9CYUCh. 12.3 - Prob. 10CYUCh. 12.3 - Prob. 11CYUCh. 12.3 - Prob. 12PPSCh. 12.3 - Prob. 13PPSCh. 12.3 - Prob. 14PPSCh. 12.3 - Prob. 15PPSCh. 12.3 - Prob. 16PPSCh. 12.3 - Prob. 17PPSCh. 12.3 - Prob. 18PPSCh. 12.3 - Prob. 19PPSCh. 12.3 - Prob. 20PPSCh. 12.3 - Prob. 21PPSCh. 12.3 - Prob. 22PPSCh. 12.3 - Prob. 23PPSCh. 12.3 - Prob. 24PPSCh. 12.3 - Prob. 25PPSCh. 12.3 - Prob. 26PPSCh. 12.3 - Prob. 27PPSCh. 12.3 - Prob. 28PPSCh. 12.3 - Prob. 29PPSCh. 12.3 - Prob. 30PPSCh. 12.3 - Prob. 31PPSCh. 12.3 - Prob. 32PPSCh. 12.3 - Prob. 33PPSCh. 12.3 - Prob. 34PPSCh. 12.3 - Prob. 35PPSCh. 12.3 - Prob. 36PPSCh. 12.3 - Prob. 37PPSCh. 12.3 - Prob. 38PPSCh. 12.3 - Prob. 39PPSCh. 12.3 - Prob. 40PPSCh. 12.3 - Prob. 41PPSCh. 12.3 - Prob. 42PPSCh. 12.3 - Prob. 43PPSCh. 12.3 - Prob. 44PPSCh. 12.3 - Prob. 45PPSCh. 12.3 - Prob. 46PPSCh. 12.3 - Prob. 47HPCh. 12.3 - Prob. 48HPCh. 12.3 - Prob. 49HPCh. 12.3 - Prob. 50HPCh. 12.3 - Prob. 51HPCh. 12.3 - Prob. 52STPCh. 12.3 - Prob. 53STPCh. 12.3 - Prob. 54STPCh. 12.3 - Prob. 55STPCh. 12.3 - Prob. 56SRCh. 12.3 - Prob. 57SRCh. 12.3 - Prob. 58SRCh. 12.3 - Prob. 59SRCh. 12.3 - Prob. 60SRCh. 12.3 - Prob. 61SRCh. 12.3 - Prob. 62SRCh. 12.3 - Prob. 63SRCh. 12.3 - Prob. 64SRCh. 12.3 - Prob. 65SRCh. 12.3 - Prob. 66SRCh. 12.3 - Prob. 67SRCh. 12.3 - Prob. 68SRCh. 12.3 - Prob. 69SRCh. 12.3 - Prob. 70SRCh. 12.3 - Prob. 71SRCh. 12.3 - Prob. 72SRCh. 12.3 - Prob. 73SRCh. 12.3 - Prob. 74SRCh. 12.3 - Prob. 75SRCh. 12.3 - Prob. 76SCh. 12.3 - Prob. 77SCh. 12.3 - Prob. 78SCh. 12.4 - Prob. 1GPCh. 12.4 - Prob. 2GPCh. 12.4 - Prob. 3AGPCh. 12.4 - Prob. 3BGPCh. 12.4 - Prob. 3CGPCh. 12.4 - Prob. 4GPCh. 12.4 - Prob. 1CYUCh. 12.4 - Prob. 2CYUCh. 12.4 - Prob. 3CYUCh. 12.4 - Prob. 4CYUCh. 12.4 - Prob. 5CYUCh. 12.4 - Prob. 6CYUCh. 12.4 - Prob. 7CYUCh. 12.4 - Prob. 8CYUCh. 12.4 - Prob. 9CYUCh. 12.4 - Prob. 10CYUCh. 12.4 - Prob. 11CYUCh. 12.4 - Prob. 12CYUCh. 12.4 - Prob. 13PPSCh. 12.4 - Prob. 14PPSCh. 12.4 - Prob. 15PPSCh. 12.4 - Prob. 16PPSCh. 12.4 - Prob. 17PPSCh. 12.4 - Prob. 18PPSCh. 12.4 - Prob. 19PPSCh. 12.4 - Prob. 20PPSCh. 12.4 - Prob. 21PPSCh. 12.4 - Prob. 22PPSCh. 12.4 - Prob. 23PPSCh. 12.4 - Prob. 24PPSCh. 12.4 - Prob. 25PPSCh. 12.4 - Prob. 26PPSCh. 12.4 - Prob. 27PPSCh. 12.4 - Prob. 28PPSCh. 12.4 - Prob. 29PPSCh. 12.4 - Prob. 30PPSCh. 12.4 - Prob. 31PPSCh. 12.4 - Prob. 32PPSCh. 12.4 - Prob. 33PPSCh. 12.4 - Prob. 34PPSCh. 12.4 - Prob. 35PPSCh. 12.4 - Prob. 36PPSCh. 12.4 - Prob. 37PPSCh. 12.4 - Prob. 38PPSCh. 12.4 - Prob. 39PPSCh. 12.4 - Prob. 40PPSCh. 12.4 - Prob. 41PPSCh. 12.4 - Prob. 42PPSCh. 12.4 - Prob. 43HPCh. 12.4 - Prob. 44HPCh. 12.4 - Prob. 45HPCh. 12.4 - Prob. 46HPCh. 12.4 - Prob. 47HPCh. 12.4 - Prob. 48HPCh. 12.4 - Prob. 49STPCh. 12.4 - Prob. 50STPCh. 12.4 - Prob. 51STPCh. 12.4 - Prob. 52STPCh. 12.4 - Prob. 53SRCh. 12.4 - Prob. 54SRCh. 12.4 - Prob. 55SRCh. 12.4 - Prob. 56SRCh. 12.4 - Prob. 57SRCh. 12.4 - Prob. 58SRCh. 12.4 - Prob. 59SRCh. 12.4 - Prob. 60SRCh. 12.4 - Prob. 61SRCh. 12.4 - Prob. 62SRCh. 12.4 - Prob. 63SRCh. 12.4 - Prob. 64SRCh. 12.4 - Prob. 65SRCh. 12.4 - Prob. 66SRCh. 12.4 - Prob. 67SCh. 12.4 - Prob. 68SCh. 12.4 - Prob. 69SCh. 12.5 - Prob. 1GPCh. 12.5 - Prob. 2GPCh. 12.5 - Prob. 3GPCh. 12.5 - Prob. 1CYUCh. 12.5 - Prob. 2CYUCh. 12.5 - Prob. 3CYUCh. 12.5 - Prob. 4CYUCh. 12.5 - Prob. 5CYUCh. 12.5 - Prob. 6CYUCh. 12.5 - Prob. 7CYUCh. 12.5 - Prob. 8CYUCh. 12.5 - Prob. 9PPSCh. 12.5 - Prob. 10PPSCh. 12.5 - Prob. 11PPSCh. 12.5 - Prob. 12PPSCh. 12.5 - Prob. 13PPSCh. 12.5 - Prob. 14PPSCh. 12.5 - Prob. 15PPSCh. 12.5 - Prob. 16PPSCh. 12.5 - Prob. 17PPSCh. 12.5 - Prob. 18PPSCh. 12.5 - Prob. 19PPSCh. 12.5 - Prob. 20PPSCh. 12.5 - Prob. 21PPSCh. 12.5 - Prob. 22PPSCh. 12.5 - Prob. 23PPSCh. 12.5 - Prob. 24PPSCh. 12.5 - Prob. 25PPSCh. 12.5 - Prob. 26PPSCh. 12.5 - Prob. 27PPSCh. 12.5 - Prob. 28PPSCh. 12.5 - Prob. 29PPSCh. 12.5 - Prob. 30PPSCh. 12.5 - Prob. 31PPSCh. 12.5 - Prob. 32PPSCh. 12.5 - Prob. 33PPSCh. 12.5 - Prob. 34HPCh. 12.5 - Prob. 35HPCh. 12.5 - Prob. 36HPCh. 12.5 - Prob. 37HPCh. 12.5 - Prob. 38STPCh. 12.5 - Prob. 39STPCh. 12.5 - Prob. 40STPCh. 12.5 - Prob. 41STPCh. 12.5 - Prob. 42SRCh. 12.5 - Prob. 43SRCh. 12.5 - Prob. 44SRCh. 12.5 - Prob. 45SRCh. 12.5 - Prob. 46SRCh. 12.5 - Prob. 47SRCh. 12.5 - Prob. 48SRCh. 12.5 - Prob. 49SRCh. 12.5 - Prob. 50SRCh. 12.5 - Prob. 51SRCh. 12.5 - Prob. 52SRCh. 12.5 - Prob. 53SCh. 12.5 - Prob. 54SCh. 12.5 - Prob. 55SCh. 12.5 - Prob. 1MCQCh. 12.5 - Prob. 2MCQCh. 12.5 - Prob. 3MCQCh. 12.5 - Prob. 4MCQCh. 12.5 - Prob. 5MCQCh. 12.5 - Prob. 6MCQCh. 12.5 - Prob. 7MCQCh. 12.5 - Prob. 8MCQCh. 12.5 - Prob. 9MCQCh. 12.5 - Prob. 10MCQCh. 12.5 - Prob. 11MCQCh. 12.5 - Prob. 12MCQCh. 12.5 - Prob. 13MCQCh. 12.5 - Prob. 14MCQCh. 12.5 - Prob. 15MCQCh. 12.5 - Prob. 16MCQCh. 12.5 - Prob. 17MCQCh. 12.5 - Prob. 18MCQCh. 12.5 - Prob. 19MCQCh. 12.5 - Prob. 20MCQCh. 12.5 - Prob. 21MCQCh. 12.6 - Prob. 1GPCh. 12.6 - Prob. 2GPCh. 12.6 - Prob. 3GPCh. 12.6 - Prob. 4AGPCh. 12.6 - Prob. 4BGPCh. 12.6 - Prob. 1CYUCh. 12.6 - Prob. 2CYUCh. 12.6 - Prob. 3CYUCh. 12.6 - Prob. 4CYUCh. 12.6 - Prob. 5CYUCh. 12.6 - Prob. 6CYUCh. 12.6 - Prob. 7CYUCh. 12.6 - Prob. 8CYUCh. 12.6 - Prob. 9PPSCh. 12.6 - Prob. 10PPSCh. 12.6 - Prob. 11PPSCh. 12.6 - Prob. 12PPSCh. 12.6 - Prob. 13PPSCh. 12.6 - Prob. 14PPSCh. 12.6 - Prob. 15PPSCh. 12.6 - Prob. 16PPSCh. 12.6 - Prob. 17PPSCh. 12.6 - Prob. 18PPSCh. 12.6 - Prob. 19PPSCh. 12.6 - Prob. 20PPSCh. 12.6 - Prob. 21PPSCh. 12.6 - Prob. 22PPSCh. 12.6 - Prob. 23PPSCh. 12.6 - Prob. 24PPSCh. 12.6 - Prob. 25PPSCh. 12.6 - Prob. 26PPSCh. 12.6 - Prob. 27PPSCh. 12.6 - Prob. 28PPSCh. 12.6 - Prob. 29PPSCh. 12.6 - Prob. 30PPSCh. 12.6 - Prob. 31PPSCh. 12.6 - Prob. 32PPSCh. 12.6 - Prob. 33PPSCh. 12.6 - Prob. 34PPSCh. 12.6 - Prob. 35PPSCh. 12.6 - Prob. 36PPSCh. 12.6 - Prob. 37HPCh. 12.6 - Prob. 38HPCh. 12.6 - Prob. 39HPCh. 12.6 - Prob. 40HPCh. 12.6 - Prob. 41HPCh. 12.6 - Prob. 42STPCh. 12.6 - Prob. 43STPCh. 12.6 - Prob. 44STPCh. 12.6 - Prob. 45STPCh. 12.6 - Prob. 46STPCh. 12.6 - Prob. 47SRCh. 12.6 - Prob. 48SRCh. 12.6 - Prob. 49SRCh. 12.6 - Prob. 50SRCh. 12.6 - Prob. 51SRCh. 12.6 - Prob. 52SRCh. 12.6 - Prob. 53SRCh. 12.6 - Prob. 54SRCh. 12.6 - Prob. 55SRCh. 12.6 - Prob. 56SRCh. 12.6 - Prob. 57SRCh. 12.6 - Prob. 58SRCh. 12.6 - Prob. 59SRCh. 12.6 - Prob. 60SCh. 12.6 - Prob. 61SCh. 12.6 - Prob. 62SCh. 12.7 - Prob. 1AGPCh. 12.7 - Prob. 1BGPCh. 12.7 - Prob. 2AGPCh. 12.7 - Prob. 2BGPCh. 12.7 - Prob. 3GPCh. 12.7 - Prob. 4GPCh. 12.7 - Prob. 5GPCh. 12.7 - Prob. 1CYUCh. 12.7 - Prob. 2CYUCh. 12.7 - Prob. 3CYUCh. 12.7 - Prob. 4CYUCh. 12.7 - Prob. 5CYUCh. 12.7 - Prob. 6CYUCh. 12.7 - Prob. 7CYUCh. 12.7 - Prob. 8CYUCh. 12.7 - Prob. 9PPSCh. 12.7 - Prob. 10PPSCh. 12.7 - Prob. 11PPSCh. 12.7 - Prob. 12PPSCh. 12.7 - Prob. 13PPSCh. 12.7 - Prob. 14PPSCh. 12.7 - Prob. 15PPSCh. 12.7 - Prob. 16PPSCh. 12.7 - Prob. 17PPSCh. 12.7 - Prob. 18PPSCh. 12.7 - Prob. 19PPSCh. 12.7 - Prob. 20PPSCh. 12.7 - Prob. 21PPSCh. 12.7 - Prob. 22PPSCh. 12.7 - Prob. 23PPSCh. 12.7 - Prob. 24PPSCh. 12.7 - Prob. 25PPSCh. 12.7 - Prob. 26PPSCh. 12.7 - Prob. 27PPSCh. 12.7 - Prob. 28PPSCh. 12.7 - Prob. 29PPSCh. 12.7 - Prob. 30PPSCh. 12.7 - Prob. 31PPSCh. 12.7 - Prob. 32PPSCh. 12.7 - Prob. 33PPSCh. 12.7 - Prob. 34PPSCh. 12.7 - Prob. 35PPSCh. 12.7 - Prob. 36PPSCh. 12.7 - Prob. 37PPSCh. 12.7 - Prob. 38PPSCh. 12.7 - Prob. 39PPSCh. 12.7 - Prob. 40PPSCh. 12.7 - Prob. 41HPCh. 12.7 - Prob. 42HPCh. 12.7 - Prob. 43HPCh. 12.7 - Prob. 44HPCh. 12.7 - Prob. 45STPCh. 12.7 - Prob. 46STPCh. 12.7 - Prob. 47STPCh. 12.7 - Prob. 48STPCh. 12.7 - Prob. 49SRCh. 12.7 - Prob. 50SRCh. 12.7 - Prob. 51SRCh. 12.7 - Prob. 52SRCh. 12.7 - Prob. 53SRCh. 12.7 - Prob. 54SRCh. 12.7 - Prob. 55SRCh. 12.7 - Prob. 56SRCh. 12.7 - 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Prob. 37PPSCh. 12.8 - Prob. 38PPSCh. 12.8 - Prob. 39PPSCh. 12.8 - Prob. 40PPSCh. 12.8 - Prob. 41PPSCh. 12.8 - Prob. 42PPSCh. 12.8 - Prob. 43PPSCh. 12.8 - Prob. 44PPSCh. 12.8 - Prob. 45PPSCh. 12.8 - Prob. 46PPSCh. 12.8 - Prob. 47PPSCh. 12.8 - Prob. 48PPSCh. 12.8 - Prob. 49PPSCh. 12.8 - Prob. 50PPSCh. 12.8 - Prob. 51PPSCh. 12.8 - Prob. 52PPSCh. 12.8 - Prob. 53PPSCh. 12.8 - Prob. 54PPSCh. 12.8 - Prob. 55PPSCh. 12.8 - Prob. 56PPSCh. 12.8 - Prob. 57PPSCh. 12.8 - Prob. 58PPSCh. 12.8 - Prob. 59PPSCh. 12.8 - Prob. 60HPCh. 12.8 - Prob. 61HPCh. 12.8 - Prob. 62HPCh. 12.8 - Prob. 63HPCh. 12.8 - Prob. 64HPCh. 12.8 - Prob. 65STPCh. 12.8 - Prob. 66STPCh. 12.8 - Prob. 67STPCh. 12.8 - Prob. 68STPCh. 12.8 - Prob. 69SRCh. 12.8 - Prob. 70SRCh. 12.8 - Prob. 71SRCh. 12.8 - Prob. 72SRCh. 12.8 - Prob. 73SRCh. 12.8 - Prob. 74SRCh. 12.8 - Prob. 75SRCh. 12.8 - Prob. 76SRCh. 12.8 - Prob. 77SRCh. 12.8 - Prob. 78SRCh. 12.8 - Prob. 79SRCh. 12.8 - Prob. 80SCh. 12.8 - Prob. 81SCh. 12.8 - Prob. 82SCh. 12.8 - Prob. 83SCh. 12.8 - Prob. 84SCh. 12.8 - Prob. 85SCh. 12.9 - Prob. 1AGPCh. 12.9 - Prob. 1BGPCh. 12.9 - Prob. 2AGPCh. 12.9 - Prob. 2BGPCh. 12.9 - Prob. 3GPCh. 12.9 - Prob. 4GPCh. 12.9 - Prob. 1CYUCh. 12.9 - Prob. 2CYUCh. 12.9 - Prob. 3CYUCh. 12.9 - Prob. 4CYUCh. 12.9 - Prob. 5CYUCh. 12.9 - Prob. 6CYUCh. 12.9 - Prob. 7CYUCh. 12.9 - Prob. 8CYUCh. 12.9 - Prob. 9CYUCh. 12.9 - Prob. 10CYUCh. 12.9 - Prob. 11CYUCh. 12.9 - Prob. 12PPSCh. 12.9 - Prob. 13PPSCh. 12.9 - Prob. 14PPSCh. 12.9 - Prob. 15PPSCh. 12.9 - Prob. 16PPSCh. 12.9 - Prob. 17PPSCh. 12.9 - Prob. 18PPSCh. 12.9 - Prob. 19PPSCh. 12.9 - Prob. 20PPSCh. 12.9 - Prob. 21PPSCh. 12.9 - Prob. 22PPSCh. 12.9 - Prob. 23PPSCh. 12.9 - Prob. 24PPSCh. 12.9 - Prob. 25PPSCh. 12.9 - Prob. 26PPSCh. 12.9 - Prob. 27PPSCh. 12.9 - Prob. 28PPSCh. 12.9 - Prob. 29PPSCh. 12.9 - Prob. 30PPSCh. 12.9 - Prob. 31PPSCh. 12.9 - Prob. 32PPSCh. 12.9 - Prob. 33PPSCh. 12.9 - Prob. 34PPSCh. 12.9 - Prob. 35PPSCh. 12.9 - Prob. 36PPSCh. 12.9 - Prob. 37PPSCh. 12.9 - Prob. 38PPSCh. 12.9 - Prob. 39PPSCh. 12.9 - Prob. 40PPSCh. 12.9 - Prob. 41HPCh. 12.9 - Prob. 42HPCh. 12.9 - Prob. 43HPCh. 12.9 - Prob. 44HPCh. 12.9 - Prob. 45HPCh. 12.9 - Prob. 46HPCh. 12.9 - Prob. 47STPCh. 12.9 - Prob. 48STPCh. 12.9 - Prob. 49STPCh. 12.9 - Prob. 50STPCh. 12.9 - Prob. 51SRCh. 12.9 - Prob. 52SRCh. 12.9 - Prob. 53SRCh. 12.9 - Prob. 54SRCh. 12.9 - Prob. 55SRCh. 12.9 - Prob. 56SRCh. 12.9 - Prob. 57SCh. 12.9 - Prob. 58SCh. 12.9 - Prob. 59SCh. 12.9 - Prob. 60SCh. 12 - Prob. 1QCCh. 12 - Prob. 2QCCh. 12 - Prob. 3QCCh. 12 - Prob. 4QCCh. 12 - Prob. 5QCCh. 12 - Prob. 6QCCh. 12 - Prob. 7QCCh. 12 - Prob. 8QCCh. 12 - Prob. 1SGRCh. 12 - Prob. 2SGRCh. 12 - Prob. 3SGRCh. 12 - Prob. 4SGRCh. 12 - Prob. 5SGRCh. 12 - Prob. 6SGRCh. 12 - Prob. 7SGRCh. 12 - Prob. 8SGRCh. 12 - Prob. 9SGRCh. 12 - Prob. 10SGRCh. 12 - Prob. 11SGRCh. 12 - Prob. 12SGRCh. 12 - Prob. 13SGRCh. 12 - Prob. 14SGRCh. 12 - Prob. 15SGRCh. 12 - Prob. 16SGRCh. 12 - Prob. 17SGRCh. 12 - Prob. 18SGRCh. 12 - Prob. 19SGRCh. 12 - Prob. 20SGRCh. 12 - Prob. 21SGRCh. 12 - Prob. 22SGRCh. 12 - Prob. 23SGRCh. 12 - Prob. 24SGRCh. 12 - Prob. 25SGRCh. 12 - Prob. 26SGRCh. 12 - Prob. 27SGRCh. 12 - Prob. 28SGRCh. 12 - Prob. 29SGRCh. 12 - Prob. 30SGRCh. 12 - Prob. 31SGRCh. 12 - Prob. 32SGRCh. 12 - Prob. 33SGRCh. 12 - Prob. 34SGRCh. 12 - Prob. 35SGRCh. 12 - Prob. 36SGRCh. 12 - Prob. 37SGRCh. 12 - Prob. 38SGRCh. 12 - Prob. 39SGRCh. 12 - Prob. 40SGRCh. 12 - Prob. 41SGRCh. 12 - Prob. 42SGRCh. 12 - Prob. 43SGRCh. 12 - Prob. 44SGRCh. 12 - Prob. 45SGRCh. 12 - Prob. 46SGRCh. 12 - Prob. 47SGRCh. 12 - Prob. 48SGRCh. 12 - Prob. 49SGRCh. 12 - Prob. 50SGRCh. 12 - Prob. 51SGRCh. 12 - Prob. 52SGRCh. 12 - Prob. 53SGRCh. 12 - Prob. 54SGRCh. 12 - Prob. 55SGRCh. 12 - Prob. 56SGRCh. 12 - Prob. 57SGRCh. 12 - Prob. 58SGRCh. 12 - Prob. 59SGRCh. 12 - Prob. 60SGRCh. 12 - Prob. 61SGRCh. 12 - Prob. 62SGRCh. 12 - Prob. 63SGRCh. 12 - Prob. 64SGRCh. 12 - Prob. 65SGRCh. 12 - Prob. 66SGRCh. 12 - Prob. 67SGRCh. 12 - Prob. 68SGRCh. 12 - Prob. 69SGRCh. 12 - Prob. 70SGRCh. 12 - Prob. 71SGRCh. 12 - Prob. 1PTCh. 12 - Prob. 2PTCh. 12 - Prob. 3PTCh. 12 - Prob. 4PTCh. 12 - Prob. 5PTCh. 12 - Prob. 6PTCh. 12 - Prob. 7PTCh. 12 - Prob. 8PTCh. 12 - Prob. 9PTCh. 12 - Prob. 10PTCh. 12 - Prob. 11PTCh. 12 - Prob. 12PTCh. 12 - Prob. 13PTCh. 12 - Prob. 14PTCh. 12 - Prob. 15PTCh. 12 - Prob. 16PTCh. 12 - Prob. 17PTCh. 12 - Prob. 18PTCh. 12 - Prob. 19PTCh. 12 - Prob. 20PTCh. 12 - Prob. 21PTCh. 12 - Prob. 22PTCh. 12 - Prob. 23PTCh. 12 - Prob. 24PTCh. 12 - Prob. 25PTCh. 12 - Prob. 1ECh. 12 - Prob. 2ECh. 12 - Prob. 1STPCh. 12 - Prob. 2STPCh. 12 - Prob. 3STPCh. 12 - Prob. 4STPCh. 12 - Prob. 5STPCh. 12 - Prob. 6STPCh. 12 - Prob. 7STPCh. 12 - Prob. 8STPCh. 12 - Prob. 9STPCh. 12 - Prob. 10STPCh. 12 - Prob. 11STPCh. 12 - Prob. 12STPCh. 12 - Prob. 13STPCh. 12 - Prob. 14STPCh. 12 - Prob. 15STPCh. 12 - Prob. 16STPCh. 12 - Prob. 17STP
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