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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Chapter 10.5, Problem 32PPS
To determine

Toprove: that the line is tangent to the circle and it is perpendicular to the radius of the circle.

Expert Solution & Answer
Check Mark

Answer to Problem 32PPS

It is clear that l⊥ST¯ .

Explanation of Solution

Given:

Geometry, Student Edition, Chapter 10.5, Problem 32PPS , additional homework tip 1

  l is tangent to circle s at T;ST¯ is a radius of circle s .

Concept used:

Side,side, side (SSS):

Two triangles having same all three sides equal.

Side, angle, side (SAS):

Two triangles having two sides equal and one angle equal.

angle, side, angle (ASA):

Two triangles where two angles and one side is equal.

Calculation:

Assume l is not ⊥ to ST¯ . If l is not ⊥ to ST¯ .

Some other segment SQ¯ must be ⊥ to l .

Also, there is a point R on TR¯ such that QT¯≅QR¯ .

  ∠SQT and ∠SQR are right angles by the definition of perpendicular.

  ∠SQT≅∠SQR and SQ¯≅SQ¯.ΔSQT≅ΔSQR by SAS.ST¯≅SR¯ by CPCTC.

Thus both T and R are on a circle S . For two points of l to also be on circle S contradicts the given fact that l is tangent to a circle S and T .

Geometry, Student Edition, Chapter 10.5, Problem 32PPS , additional homework tip 2

Hence, it is clear that l⊥ST¯ .

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Chapter 10.5, Problem 31PPS
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Chapter 10.5, Problem 33PPS

Chapter 10 Solutions

Geometry, Student Edition

Ch. 10.1 - Prob. 1CYPCh. 10.1 - Prob. 2ACYPCh. 10.1 - Prob. 2BCYPCh. 10.1 - Prob. 3CYPCh. 10.1 - Prob. 4ACYPCh. 10.1 - Prob. 4BCYPCh. 10.1 - Prob. 5CYPCh. 10.1 - Prob. 6ACYPCh. 10.1 - Prob. 6BCYPCh. 10.1 - Prob. 1CYU
Ch. 10.1 - Prob. 2CYUCh. 10.1 - Prob. 3CYUCh. 10.1 - Prob. 4CYUCh. 10.1 - Prob. 5CYUCh. 10.1 - Prob. 6CYUCh. 10.1 - Prob. 7CYUCh. 10.1 - Prob. 8CYUCh. 10.1 - Prob. 9CYUCh. 10.1 - Prob. 10PPSCh. 10.1 - Prob. 11PPSCh. 10.1 - Prob. 12PPSCh. 10.1 - Prob. 13PPSCh. 10.1 - Prob. 14PPSCh. 10.1 - Prob. 15PPSCh. 10.1 - Prob. 16PPSCh. 10.1 - Prob. 17PPSCh. 10.1 - Prob. 18PPSCh. 10.1 - Prob. 19PPSCh. 10.1 - Prob. 20PPSCh. 10.1 - Prob. 21PPSCh. 10.1 - Prob. 22PPSCh. 10.1 - Prob. 23PPSCh. 10.1 - Prob. 24PPSCh. 10.1 - Prob. 25PPSCh. 10.1 - Prob. 26PPSCh. 10.1 - Prob. 27PPSCh. 10.1 - Prob. 28PPSCh. 10.1 - Prob. 29PPSCh. 10.1 - Prob. 30PPSCh. 10.1 - Prob. 31PPSCh. 10.1 - Prob. 32PPSCh. 10.1 - Prob. 33PPSCh. 10.1 - Prob. 34PPSCh. 10.1 - Prob. 35PPSCh. 10.1 - Prob. 36PPSCh. 10.1 - Prob. 37PPSCh. 10.1 - Prob. 38PPSCh. 10.1 - Prob. 39PPSCh. 10.1 - Prob. 40PPSCh. 10.1 - Prob. 41PPSCh. 10.1 - Prob. 42PPSCh. 10.1 - Prob. 43PPSCh. 10.1 - Prob. 44PPSCh. 10.1 - Prob. 45PPSCh. 10.1 - Prob. 46PPSCh. 10.1 - Prob. 47PPSCh. 10.1 - Prob. 48HPCh. 10.1 - Prob. 49HPCh. 10.1 - Prob. 50HPCh. 10.1 - Prob. 51HPCh. 10.1 - Prob. 52HPCh. 10.1 - Prob. 53HPCh. 10.1 - Prob. 54HPCh. 10.1 - Prob. 55STPCh. 10.1 - Prob. 56STPCh. 10.1 - Prob. 57STPCh. 10.1 - Prob. 58STPCh. 10.1 - Prob. 59SPRCh. 10.1 - Prob. 60SPRCh. 10.1 - Prob. 61SPRCh. 10.1 - Prob. 62SPRCh. 10.1 - Prob. 63SPRCh. 10.1 - Prob. 64SPRCh. 10.1 - Prob. 65SPRCh. 10.1 - Prob. 66SPRCh. 10.1 - Prob. 67SPRCh. 10.1 - Prob. 68SPRCh. 10.1 - Prob. 69SRCh. 10.1 - Prob. 70SRCh. 10.1 - Prob. 71SRCh. 10.1 - Prob. 72SRCh. 10.2 - Prob. 1ACYPCh. 10.2 - Prob. 1BCYPCh. 10.2 - Prob. 2ACYPCh. 10.2 - Prob. 2BCYPCh. 10.2 - Prob. 2CCYPCh. 10.2 - Prob. 3ACYPCh. 10.2 - Prob. 3BCYPCh. 10.2 - Prob. 4ACYPCh. 10.2 - Prob. 4BCYPCh. 10.2 - Prob. 5ACYPCh. 10.2 - Prob. 5BCYPCh. 10.2 - Prob. 5CCYPCh. 10.2 - Prob. 1CYUCh. 10.2 - Prob. 2CYUCh. 10.2 - Prob. 3CYUCh. 10.2 - Prob. 4CYUCh. 10.2 - Prob. 5CYUCh. 10.2 - Prob. 6CYUCh. 10.2 - Prob. 7CYUCh. 10.2 - Prob. 8CYUCh. 10.2 - Prob. 9CYUCh. 10.2 - Prob. 10CYUCh. 10.2 - Prob. 11CYUCh. 10.2 - Prob. 12PPSCh. 10.2 - Prob. 13PPSCh. 10.2 - Prob. 14PPSCh. 10.2 - Prob. 15PPSCh. 10.2 - Prob. 16PPSCh. 10.2 - Prob. 17PPSCh. 10.2 - Prob. 18PPSCh. 10.2 - Prob. 19PPSCh. 10.2 - Prob. 20PPSCh. 10.2 - Prob. 21PPSCh. 10.2 - Prob. 22PPSCh. 10.2 - Prob. 23PPSCh. 10.2 - Prob. 24PPSCh. 10.2 - Prob. 25PPSCh. 10.2 - Prob. 26PPSCh. 10.2 - Prob. 27PPSCh. 10.2 - Prob. 28PPSCh. 10.2 - Prob. 29PPSCh. 10.2 - Prob. 30PPSCh. 10.2 - Prob. 31PPSCh. 10.2 - Prob. 32PPSCh. 10.2 - Prob. 33PPSCh. 10.2 - Prob. 34PPSCh. 10.2 - Prob. 35PPSCh. 10.2 - Prob. 36PPSCh. 10.2 - Prob. 37PPSCh. 10.2 - Prob. 38PPSCh. 10.2 - Prob. 39PPSCh. 10.2 - Prob. 40PPSCh. 10.2 - Prob. 41PPSCh. 10.2 - Prob. 42PPSCh. 10.2 - Prob. 43PPSCh. 10.2 - Prob. 44PPSCh. 10.2 - Prob. 45PPSCh. 10.2 - Prob. 46PPSCh. 10.2 - Prob. 47PPSCh. 10.2 - Prob. 48PPSCh. 10.2 - Prob. 49PPSCh. 10.2 - Prob. 50PPSCh. 10.2 - Prob. 51PPSCh. 10.2 - Prob. 52PPSCh. 10.2 - Prob. 53PPSCh. 10.2 - Prob. 55HPCh. 10.2 - Prob. 56HPCh. 10.2 - Prob. 57HPCh. 10.2 - Prob. 58HPCh. 10.2 - Prob. 59HPCh. 10.2 - Prob. 60HPCh. 10.2 - Prob. 61HPCh. 10.2 - Prob. 62HPCh. 10.2 - Prob. 63STPCh. 10.2 - Prob. 64STPCh. 10.2 - Prob. 65STPCh. 10.2 - Prob. 66STPCh. 10.2 - Prob. 67SPRCh. 10.2 - Prob. 68SPRCh. 10.2 - Prob. 69SPRCh. 10.2 - Prob. 70SPRCh. 10.2 - Prob. 71SPRCh. 10.2 - Prob. 72SPRCh. 10.2 - Prob. 73SPRCh. 10.2 - Prob. 74SPRCh. 10.2 - Prob. 75SRCh. 10.2 - Prob. 76SRCh. 10.2 - Prob. 77SRCh. 10.3 - Prob. 1CYPCh. 10.3 - Prob. 2CYPCh. 10.3 - Prob. 3CYPCh. 10.3 - Prob. 4CYPCh. 10.3 - Prob. 5CYPCh. 10.3 - Prob. 1CYUCh. 10.3 - Prob. 2CYUCh. 10.3 - Prob. 3CYUCh. 10.3 - Prob. 4CYUCh. 10.3 - Prob. 5CYUCh. 10.3 - Prob. 6CYUCh. 10.3 - Prob. 7PPSCh. 10.3 - Prob. 8PPSCh. 10.3 - Prob. 9PPSCh. 10.3 - Prob. 10PPSCh. 10.3 - Prob. 11PPSCh. 10.3 - Prob. 12PPSCh. 10.3 - Prob. 13PPSCh. 10.3 - Prob. 14PPSCh. 10.3 - Prob. 15PPSCh. 10.3 - Prob. 16PPSCh. 10.3 - Prob. 17PPSCh. 10.3 - Prob. 18PPSCh. 10.3 - Prob. 19PPSCh. 10.3 - Prob. 20PPSCh. 10.3 - Prob. 21PPSCh. 10.3 - Prob. 22PPSCh. 10.3 - Prob. 23PPSCh. 10.3 - Prob. 24PPSCh. 10.3 - Prob. 25PPSCh. 10.3 - Prob. 26PPSCh. 10.3 - Prob. 27PPSCh. 10.3 - Prob. 28PPSCh. 10.3 - Prob. 29PPSCh. 10.3 - Prob. 30PPSCh. 10.3 - Prob. 31PPSCh. 10.3 - Prob. 32PPSCh. 10.3 - Prob. 33PPSCh. 10.3 - Prob. 34PPSCh. 10.3 - Prob. 35HPCh. 10.3 - Prob. 36HPCh. 10.3 - Prob. 37HPCh. 10.3 - Prob. 38HPCh. 10.3 - Prob. 39HPCh. 10.3 - Prob. 40STPCh. 10.3 - Prob. 41STPCh. 10.3 - Prob. 42STPCh. 10.3 - Prob. 43STPCh. 10.3 - Prob. 44SPRCh. 10.3 - Prob. 45SPRCh. 10.3 - Prob. 46SPRCh. 10.3 - Prob. 47SPRCh. 10.3 - Prob. 48SPRCh. 10.3 - Prob. 49SPRCh. 10.3 - Prob. 50SPRCh. 10.3 - Prob. 51SRCh. 10.3 - Prob. 52SRCh. 10.4 - Prob. 1ACYPCh. 10.4 - Prob. 1BCYPCh. 10.4 - Prob. 2CYPCh. 10.4 - Prob. 3CYPCh. 10.4 - Prob. 4CYPCh. 10.4 - Prob. 5CYPCh. 10.4 - Prob. 1CYUCh. 10.4 - Prob. 2CYUCh. 10.4 - Prob. 3CYUCh. 10.4 - Prob. 4CYUCh. 10.4 - Prob. 5CYUCh. 10.4 - Prob. 6CYUCh. 10.4 - Prob. 7CYUCh. 10.4 - Prob. 8CYUCh. 10.4 - Prob. 9CYUCh. 10.4 - Prob. 10CYUCh. 10.4 - Prob. 11PPSCh. 10.4 - Prob. 12PPSCh. 10.4 - Prob. 13PPSCh. 10.4 - Prob. 14PPSCh. 10.4 - Prob. 15PPSCh. 10.4 - Prob. 16PPSCh. 10.4 - Prob. 17PPSCh. 10.4 - Prob. 18PPSCh. 10.4 - Prob. 19PPSCh. 10.4 - Prob. 20PPSCh. 10.4 - Prob. 21PPSCh. 10.4 - Prob. 22PPSCh. 10.4 - Prob. 23PPSCh. 10.4 - Prob. 24PPSCh. 10.4 - Prob. 25PPSCh. 10.4 - Prob. 26PPSCh. 10.4 - Prob. 27PPSCh. 10.4 - Prob. 28PPSCh. 10.4 - Prob. 29PPSCh. 10.4 - Prob. 30PPSCh. 10.4 - Prob. 31PPSCh. 10.4 - Prob. 32PPSCh. 10.4 - Prob. 33PPSCh. 10.4 - Prob. 34PPSCh. 10.4 - Prob. 35PPSCh. 10.4 - Prob. 36PPSCh. 10.4 - Prob. 37PPSCh. 10.4 - Prob. 38PPSCh. 10.4 - Prob. 39PPSCh. 10.4 - Prob. 40PPSCh. 10.4 - Prob. 41PPSCh. 10.4 - Prob. 42HPCh. 10.4 - Prob. 43HPCh. 10.4 - Prob. 44HPCh. 10.4 - Prob. 45HPCh. 10.4 - Prob. 46HPCh. 10.4 - Prob. 47HPCh. 10.4 - Prob. 48HPCh. 10.4 - Prob. 49HPCh. 10.4 - Prob. 50HPCh. 10.4 - Prob. 51STPCh. 10.4 - Prob. 52STPCh. 10.4 - Prob. 53STPCh. 10.4 - Prob. 54STPCh. 10.4 - Prob. 55SPRCh. 10.4 - Prob. 56SPRCh. 10.4 - Prob. 57SPRCh. 10.4 - Prob. 58SPRCh. 10.4 - Prob. 59SPRCh. 10.4 - Prob. 60SPRCh. 10.4 - Prob. 61SPRCh. 10.4 - Prob. 62SPRCh. 10.4 - Prob. 63SRCh. 10.4 - Prob. 64SRCh. 10.4 - Prob. 65SRCh. 10.4 - Prob. 66SRCh. 10.5 - Prob. 1ACYPCh. 10.5 - Prob. 1BCYPCh. 10.5 - Prob. 2CYPCh. 10.5 - Prob. 3ACYPCh. 10.5 - Prob. 3BCYPCh. 10.5 - Prob. 4ACYPCh. 10.5 - Prob. 4BCYPCh. 10.5 - Prob. 5CYPCh. 10.5 - Prob. 1CYUCh. 10.5 - Prob. 2CYUCh. 10.5 - Prob. 3CYUCh. 10.5 - Prob. 4CYUCh. 10.5 - Prob. 5CYUCh. 10.5 - Prob. 6CYUCh. 10.5 - Prob. 7CYUCh. 10.5 - Prob. 8CYUCh. 10.5 - Prob. 9PPSCh. 10.5 - Prob. 10PPSCh. 10.5 - Prob. 11PPSCh. 10.5 - Prob. 12PPSCh. 10.5 - Prob. 13PPSCh. 10.5 - Prob. 14PPSCh. 10.5 - Prob. 15PPSCh. 10.5 - Prob. 16PPSCh. 10.5 - Prob. 17PPSCh. 10.5 - Prob. 18PPSCh. 10.5 - Prob. 19PPSCh. 10.5 - Prob. 20PPSCh. 10.5 - Prob. 21PPSCh. 10.5 - Prob. 22PPSCh. 10.5 - Prob. 23PPSCh. 10.5 - Prob. 24PPSCh. 10.5 - Prob. 25PPSCh. 10.5 - Prob. 26PPSCh. 10.5 - Prob. 27PPSCh. 10.5 - Prob. 28PPSCh. 10.5 - Prob. 29PPSCh. 10.5 - Prob. 30PPSCh. 10.5 - Prob. 31PPSCh. 10.5 - Prob. 32PPSCh. 10.5 - Prob. 33PPSCh. 10.5 - Prob. 34PPSCh. 10.5 - Prob. 35HPCh. 10.5 - Prob. 36HPCh. 10.5 - Prob. 37HPCh. 10.5 - Prob. 38HPCh. 10.5 - Prob. 39HPCh. 10.5 - Prob. 40STPCh. 10.5 - Prob. 41STPCh. 10.5 - Prob. 42STPCh. 10.5 - Prob. 43STPCh. 10.5 - Prob. 44SPRCh. 10.5 - Prob. 45SPRCh. 10.5 - Prob. 46SPRCh. 10.5 - Prob. 47SPRCh. 10.5 - Prob. 48SPRCh. 10.5 - Prob. 49SPRCh. 10.5 - Prob. 50SPRCh. 10.5 - Prob. 51SPRCh. 10.5 - Prob. 52SPRCh. 10.5 - Prob. 53SRCh. 10.5 - Prob. 54SRCh. 10.5 - Prob. 55SRCh. 10.6 - Prob. 1ACYPCh. 10.6 - Prob. 1BCYPCh. 10.6 - Prob. 1CCYPCh. 10.6 - Prob. 2ACYPCh. 10.6 - Prob. 2BCYPCh. 10.6 - Prob. 3ACYPCh. 10.6 - Prob. 3BCYPCh. 10.6 - Prob. 4CYPCh. 10.6 - Prob. 1CYUCh. 10.6 - Prob. 2CYUCh. 10.6 - Prob. 3CYUCh. 10.6 - Prob. 4CYUCh. 10.6 - Prob. 5CYUCh. 10.6 - Prob. 6CYUCh. 10.6 - Prob. 7CYUCh. 10.6 - Prob. 8PPSCh. 10.6 - Prob. 9PPSCh. 10.6 - Prob. 10PPSCh. 10.6 - Prob. 11PPSCh. 10.6 - Prob. 12PPSCh. 10.6 - Prob. 13PPSCh. 10.6 - Prob. 14PPSCh. 10.6 - Prob. 15PPSCh. 10.6 - Prob. 16PPSCh. 10.6 - Prob. 17PPSCh. 10.6 - Prob. 18PPSCh. 10.6 - Prob. 19PPSCh. 10.6 - Prob. 20PPSCh. 10.6 - Prob. 21PPSCh. 10.6 - Prob. 22PPSCh. 10.6 - Prob. 23PPSCh. 10.6 - Prob. 24PPSCh. 10.6 - Prob. 25PPSCh. 10.6 - Prob. 26PPSCh. 10.6 - Prob. 27PPSCh. 10.6 - Prob. 28PPSCh. 10.6 - Prob. 29PPSCh. 10.6 - Prob. 30PPSCh. 10.6 - Prob. 31PPSCh. 10.6 - Prob. 32PPSCh. 10.6 - Prob. 33PPSCh. 10.6 - Prob. 34PPSCh. 10.6 - Prob. 35PPSCh. 10.6 - Prob. 36HPCh. 10.6 - Prob. 37HPCh. 10.6 - Prob. 38HPCh. 10.6 - Prob. 39HPCh. 10.6 - Prob. 40HPCh. 10.6 - Prob. 41HPCh. 10.6 - Prob. 42STPCh. 10.6 - Prob. 43STPCh. 10.6 - Prob. 44STPCh. 10.6 - Prob. 45STPCh. 10.6 - Prob. 46SPRCh. 10.6 - Prob. 47SPRCh. 10.6 - Prob. 48SPRCh. 10.6 - Prob. 49SPRCh. 10.6 - Prob. 50SPRCh. 10.6 - Prob. 51SPRCh. 10.6 - Prob. 52SPRCh. 10.6 - Prob. 53SRCh. 10.6 - Prob. 54SRCh. 10.6 - Prob. 55SRCh. 10.6 - Prob. 56SRCh. 10.6 - Prob. 57SRCh. 10.6 - Prob. 58SRCh. 10.7 - Prob. 1ACYPCh. 10.7 - Prob. 1BCYPCh. 10.7 - Prob. 2CYPCh. 10.7 - Prob. 3ACYPCh. 10.7 - Prob. 3BCYPCh. 10.7 - Prob. 4CYPCh. 10.7 - Prob. 1CYUCh. 10.7 - Prob. 2CYUCh. 10.7 - Prob. 3CYUCh. 10.7 - Prob. 4CYUCh. 10.7 - Prob. 5CYUCh. 10.7 - Prob. 6PPSCh. 10.7 - Prob. 7PPSCh. 10.7 - Prob. 8PPSCh. 10.7 - Prob. 9PPSCh. 10.7 - Prob. 10PPSCh. 10.7 - Prob. 11PPSCh. 10.7 - Prob. 12PPSCh. 10.7 - Prob. 13PPSCh. 10.7 - Prob. 14PPSCh. 10.7 - Prob. 15PPSCh. 10.7 - Prob. 16PPSCh. 10.7 - Prob. 17PPSCh. 10.7 - Prob. 18PPSCh. 10.7 - Prob. 19PPSCh. 10.7 - Prob. 20PPSCh. 10.7 - Prob. 21PPSCh. 10.7 - Prob. 22PPSCh. 10.7 - Prob. 23PPSCh. 10.7 - Prob. 24PPSCh. 10.7 - Prob. 25PPSCh. 10.7 - Prob. 26HPCh. 10.7 - Prob. 27HPCh. 10.7 - Prob. 28HPCh. 10.7 - Prob. 29HPCh. 10.7 - Prob. 30HPCh. 10.7 - Prob. 31HPCh. 10.7 - Prob. 32STPCh. 10.7 - Prob. 33STPCh. 10.7 - Prob. 34STPCh. 10.7 - Prob. 35STPCh. 10.7 - Prob. 36SPRCh. 10.7 - Prob. 37SPRCh. 10.7 - Prob. 38SPRCh. 10.7 - Prob. 39SPRCh. 10.7 - Prob. 40SPRCh. 10.7 - Prob. 41SPRCh. 10.7 - Prob. 42SPRCh. 10.7 - Prob. 43SPRCh. 10.7 - Prob. 44SRCh. 10.7 - Prob. 45SRCh. 10.7 - Prob. 46SRCh. 10.7 - Prob. 47SRCh. 10.7 - Prob. 48SRCh. 10.7 - Prob. 49SRCh. 10.8 - Prob. 1ACYPCh. 10.8 - Prob. 1BCYPCh. 10.8 - Prob. 2ACYPCh. 10.8 - Prob. 2BCYPCh. 10.8 - Prob. 3ACYPCh. 10.8 - Prob. 3BCYPCh. 10.8 - Prob. 4CYPCh. 10.8 - Prob. 1CYUCh. 10.8 - Prob. 2CYUCh. 10.8 - Prob. 3CYUCh. 10.8 - Prob. 4CYUCh. 10.8 - Prob. 5CYUCh. 10.8 - Prob. 6CYUCh. 10.8 - Prob. 7CYUCh. 10.8 - Prob. 8CYUCh. 10.8 - Prob. 9CYUCh. 10.8 - Prob. 10CYUCh. 10.8 - Prob. 11PPSCh. 10.8 - Prob. 12PPSCh. 10.8 - Prob. 13PPSCh. 10.8 - Prob. 14PPSCh. 10.8 - Prob. 15PPSCh. 10.8 - Prob. 16PPSCh. 10.8 - Prob. 17PPSCh. 10.8 - Prob. 18PPSCh. 10.8 - Prob. 19PPSCh. 10.8 - Prob. 20PPSCh. 10.8 - Prob. 21PPSCh. 10.8 - Prob. 22PPSCh. 10.8 - Prob. 23PPSCh. 10.8 - Prob. 24PPSCh. 10.8 - Prob. 25PPSCh. 10.8 - Prob. 26PPSCh. 10.8 - Prob. 27PPSCh. 10.8 - Prob. 28PPSCh. 10.8 - Prob. 29PPSCh. 10.8 - Prob. 30PPSCh. 10.8 - Prob. 31PPSCh. 10.8 - Prob. 32PPSCh. 10.8 - Prob. 33PPSCh. 10.8 - Prob. 34PPSCh. 10.8 - Prob. 35PPSCh. 10.8 - Prob. 36HPCh. 10.8 - Prob. 37HPCh. 10.8 - Prob. 38HPCh. 10.8 - Prob. 39HPCh. 10.8 - Prob. 40HPCh. 10.8 - Prob. 41STPCh. 10.8 - Prob. 42STPCh. 10.8 - Prob. 43STPCh. 10.8 - Prob. 44STPCh. 10.8 - Prob. 45SPRCh. 10.8 - Prob. 46SPRCh. 10.8 - Prob. 47SPRCh. 10.8 - Prob. 48SPRCh. 10.8 - Prob. 49SPRCh. 10.8 - Prob. 50SPRCh. 10.8 - Prob. 51SPRCh. 10.8 - Prob. 52SRCh. 10.8 - Prob. 53SRCh. 10.8 - Prob. 54SRCh. 10 - Prob. 1GRFCCh. 10 - Prob. 2GRFCCh. 10 - Prob. 3GRFCCh. 10 - Prob. 4GRFCCh. 10 - Prob. 5GRFCCh. 10 - Prob. 6GRFCCh. 10 - Prob. 7GRFCCh. 10 - Prob. 8GRFCCh. 10 - Prob. 9GRFCCh. 10 - Prob. 10GRFCCh. 10 - Prob. 11GRFCCh. 10 - Prob. 12GRFCCh. 10 - Prob. 1MCQCh. 10 - Prob. 2MCQCh. 10 - Prob. 3MCQCh. 10 - Prob. 4MCQCh. 10 - Prob. 5MCQCh. 10 - Prob. 6MCQCh. 10 - Prob. 7MCQCh. 10 - Prob. 8MCQCh. 10 - Prob. 9MCQCh. 10 - Prob. 10MCQCh. 10 - Prob. 11MCQCh. 10 - Prob. 12MCQCh. 10 - Prob. 13MCQCh. 10 - Prob. 14MCQCh. 10 - Prob. 15MCQCh. 10 - Prob. 1SGRCh. 10 - Prob. 2SGRCh. 10 - Prob. 3SGRCh. 10 - Prob. 4SGRCh. 10 - Prob. 5SGRCh. 10 - Prob. 6SGRCh. 10 - Prob. 7SGRCh. 10 - Prob. 8SGRCh. 10 - Prob. 9SGRCh. 10 - Prob. 10SGRCh. 10 - Prob. 11SGRCh. 10 - Prob. 12SGRCh. 10 - Prob. 13SGRCh. 10 - Prob. 14SGRCh. 10 - Prob. 15SGRCh. 10 - Prob. 16SGRCh. 10 - Prob. 17SGRCh. 10 - Prob. 18SGRCh. 10 - Prob. 19SGRCh. 10 - Prob. 20SGRCh. 10 - Prob. 21SGRCh. 10 - Prob. 22SGRCh. 10 - Prob. 23SGRCh. 10 - Prob. 24SGRCh. 10 - Prob. 25SGRCh. 10 - Prob. 26SGRCh. 10 - Prob. 27SGRCh. 10 - Prob. 28SGRCh. 10 - Prob. 29SGRCh. 10 - Prob. 30SGRCh. 10 - Prob. 31SGRCh. 10 - Prob. 32SGRCh. 10 - Prob. 33SGRCh. 10 - Prob. 34SGRCh. 10 - Prob. 35SGRCh. 10 - Prob. 36SGRCh. 10 - Prob. 37SGRCh. 10 - Prob. 1PTCh. 10 - Prob. 2PTCh. 10 - Prob. 3PTCh. 10 - Prob. 4PTCh. 10 - Prob. 5PTCh. 10 - Prob. 6PTCh. 10 - Prob. 7PTCh. 10 - Prob. 8PTCh. 10 - Prob. 9PTCh. 10 - Prob. 10PTCh. 10 - Prob. 11PTCh. 10 - Prob. 12PTCh. 10 - Prob. 13PTCh. 10 - Prob. 14PTCh. 10 - Prob. 15PTCh. 10 - Prob. 1STPCh. 10 - Prob. 2STPCh. 10 - Prob. 3STPCh. 10 - Prob. 4STPCh. 10 - Prob. 5STPCh. 10 - Prob. 6STPCh. 10 - Prob. 7STPCh. 10 - Prob. 8STPCh. 10 - Prob. 9STPCh. 10 - Prob. 10STPCh. 10 - Prob. 11STPCh. 10 - Prob. 12STPCh. 10 - Prob. 13STP

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