Pre-Algebra Student Edition
Pre-Algebra Student Edition
1st Edition
ISBN: 9780078957734
Author: Glencoe/McGraw-Hill
Publisher: MCG
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Chapter 11.6, Problem 34PPS

a.

To determine

To sketch:A triangle with a base of 6 units and a height of 3 units.

a.

Expert Solution
Check Mark

Explanation of Solution

Given information:

The base of the triangle is 6 units and height of the triangle is 3 units.

Sketch:

  Pre-Algebra Student Edition, Chapter 11.6, Problem 34PPS

Interpretation:

ABC is a triangle with base 6 units and height 3 units.

b.

To determine

To fill:Area of triangles in the table,

b.

Expert Solution
Check Mark

Answer to Problem 34PPS

    Triangle Base (in.) Height (in.) Area (in2)
    1 6 3 9
    2 12 6 36
    3 18 9 81

Explanation of Solution

Given information:

The table with base and height of triangles,

    Triangle Base (in.) Height (in.) Area (in2)
    1 6 3
    2 12 6
    3 18 9

Formula used: Area of a triangle is given by the formula,

  A=12×b×h

Where A= area, b= base, h= height

Calculation:

Area of a triangle with base 6 in. and height 3 in. is given by,

  A=12×b×h=12×6×3=9

Area of a triangle with base 12 in. and height 6 in. is given by,

  A=12×b×h=12×12×6=36

Area of a triangle with base 18 in. and height 9 in. is given by,

  A=12×b×h=12×18×9=81

Thus, the table becomes,

    Triangle Base (in.) Height (in.) Area (in2)
    1 6 3 9
    2 12 6 36
    3 18 9 81

c.

To determine

To explain:The effect on the area of a triangle if the dimensions are doubled and if the dimensions are tripled.

c.

Expert Solution
Check Mark

Answer to Problem 34PPS

If the dimensions are doubled the area of the triangle becomes 4 times the original area and if the dimensions are tripled the area of the triangle becomes 9 times the original area.

Explanation of Solution

Let the base of a triangle be b and the height be h .

Then, area of the triangle is given by,

  A=12bh

Case 1:The dimensions of the triangle are doubled.

Then the base becomes 2b and the height becomes 2h .

Then the area of the new triangle =12×2b×2h=4×12bh=4A

Thus, the area of the triangle is 4 times the original area of the triangle when the dimensions are doubled.

Case 2: The dimensions of the triangle are tripled.

Then the base becomes 3b and the height becomes 3h .

Then the area of the new triangle =12×3b×3h=9×12bh=9A

Thus, the area of the triangle is 9 times the original area of the triangle when the dimensions are tripled.

Conclusion:

If the dimensions are doubled the area of the triangle becomes 4 times the original area and if the dimensions are tripled the area of the triangle becomes 9 times the original area.

Chapter 11 Solutions

Pre-Algebra Student Edition

Ch. 11.1 - Prob. 7CYUCh. 11.1 - Prob. 8CYUCh. 11.1 - Prob. 9CYUCh. 11.1 - Prob. 10PPSCh. 11.1 - Prob. 11PPSCh. 11.1 - Prob. 12PPSCh. 11.1 - Prob. 13PPSCh. 11.1 - Prob. 14PPSCh. 11.1 - Prob. 15PPSCh. 11.1 - Prob. 16PPSCh. 11.1 - Prob. 17PPSCh. 11.1 - Prob. 18PPSCh. 11.1 - Prob. 19PPSCh. 11.1 - Prob. 20PPSCh. 11.1 - Prob. 21PPSCh. 11.1 - Prob. 22PPSCh. 11.1 - Prob. 23PPSCh. 11.1 - Prob. 24PPSCh. 11.1 - Prob. 25PPSCh. 11.1 - Prob. 26PPSCh. 11.1 - Prob. 27PPSCh. 11.1 - Prob. 28PPSCh. 11.1 - Prob. 29PPSCh. 11.1 - Prob. 30PPSCh. 11.1 - Prob. 31PPSCh. 11.1 - Prob. 32PPSCh. 11.1 - Prob. 33HPCh. 11.1 - Prob. 34HPCh. 11.1 - Prob. 35HPCh. 11.1 - Prob. 36HPCh. 11.1 - Prob. 37STPCh. 11.1 - Prob. 38STPCh. 11.1 - Prob. 39STPCh. 11.1 - Prob. 40STPCh. 11.1 - Prob. 41SRCh. 11.1 - Prob. 42SRCh. 11.1 - Prob. 43SRCh. 11.1 - Prob. 44SRCh. 11.1 - Prob. 45SRCh. 11.1 - Prob. 46SRCh. 11.1 - Prob. 47SCh. 11.1 - Prob. 48SCh. 11.1 - Prob. 49SCh. 11.1 - Prob. 50SCh. 11.1 - Prob. 51SCh. 11.2 - Prob. 1AGPCh. 11.2 - Prob. 1BGPCh. 11.2 - Prob. 2GPCh. 11.2 - Prob. 3GPCh. 11.2 - Prob. 1CYUCh. 11.2 - Prob. 2CYUCh. 11.2 - Prob. 3CYUCh. 11.2 - Prob. 4CYUCh. 11.2 - Prob. 5CYUCh. 11.2 - Prob. 6PPSCh. 11.2 - Prob. 7PPSCh. 11.2 - Prob. 8PPSCh. 11.2 - Prob. 9PPSCh. 11.2 - Prob. 10PPSCh. 11.2 - Prob. 11PPSCh. 11.2 - Prob. 12PPSCh. 11.2 - Prob. 13PPSCh. 11.2 - Prob. 14PPSCh. 11.2 - Prob. 15PPSCh. 11.2 - Prob. 16PPSCh. 11.2 - Prob. 17PPSCh. 11.2 - Prob. 18PPSCh. 11.2 - Prob. 19PPSCh. 11.2 - Prob. 20PPSCh. 11.2 - Prob. 21PPSCh. 11.2 - Prob. 22PPSCh. 11.2 - Prob. 23PPSCh. 11.2 - Prob. 24HPCh. 11.2 - Prob. 25HPCh. 11.2 - Prob. 26HPCh. 11.2 - Prob. 27HPCh. 11.2 - Prob. 28HPCh. 11.2 - Prob. 29STPCh. 11.2 - Prob. 30STPCh. 11.2 - Prob. 31STPCh. 11.2 - Prob. 32STPCh. 11.2 - Prob. 33SRCh. 11.2 - Prob. 34SRCh. 11.2 - Prob. 35SRCh. 11.2 - Prob. 36SRCh. 11.2 - Prob. 37SCh. 11.2 - Prob. 38SCh. 11.2 - Prob. 39SCh. 11.2 - Prob. 40SCh. 11.3 - Prob. 1AGPCh. 11.3 - Prob. 1BGPCh. 11.3 - Prob. 2GPCh. 11.3 - Prob. 3GPCh. 11.3 - Prob. 4GPCh. 11.3 - Prob. 1CYUCh. 11.3 - Prob. 2CYUCh. 11.3 - Prob. 3CYUCh. 11.3 - Prob. 4CYUCh. 11.3 - Prob. 5PPSCh. 11.3 - Prob. 6PPSCh. 11.3 - Prob. 7PPSCh. 11.3 - Prob. 8PPSCh. 11.3 - Prob. 9PPSCh. 11.3 - Prob. 10PPSCh. 11.3 - Prob. 11PPSCh. 11.3 - Prob. 12PPSCh. 11.3 - Prob. 13PPSCh. 11.3 - Prob. 14PPSCh. 11.3 - Prob. 15PPSCh. 11.3 - Prob. 16PPSCh. 11.3 - Prob. 17HPCh. 11.3 - Prob. 18HPCh. 11.3 - Prob. 19HPCh. 11.3 - Prob. 20HPCh. 11.3 - Prob. 21HPCh. 11.3 - Prob. 22STPCh. 11.3 - Prob. 23STPCh. 11.3 - Prob. 24STPCh. 11.3 - Prob. 25STPCh. 11.3 - Prob. 26SRCh. 11.3 - Prob. 27SRCh. 11.3 - Prob. 28SRCh. 11.3 - Prob. 29SCh. 11.3 - Prob. 30SCh. 11.3 - Prob. 31SCh. 11.4 - Prob. 1GPCh. 11.4 - Prob. 2GPCh. 11.4 - Prob. 1CYUCh. 11.4 - Prob. 2CYUCh. 11.4 - Prob. 3CYUCh. 11.4 - Prob. 4CYUCh. 11.4 - Prob. 5CYUCh. 11.4 - Prob. 6PPSCh. 11.4 - Prob. 7PPSCh. 11.4 - Prob. 8PPSCh. 11.4 - Prob. 9PPSCh. 11.4 - Prob. 10PPSCh. 11.4 - Prob. 11PPSCh. 11.4 - Prob. 12PPSCh. 11.4 - Prob. 13PPSCh. 11.4 - Prob. 14PPSCh. 11.4 - Prob. 15PPSCh. 11.4 - Prob. 16PPSCh. 11.4 - Prob. 17PPSCh. 11.4 - Prob. 18PPSCh. 11.4 - Prob. 19PPSCh. 11.4 - Prob. 20PPSCh. 11.4 - Prob. 21PPSCh. 11.4 - Prob. 22PPSCh. 11.4 - Prob. 23PPSCh. 11.4 - Prob. 24PPSCh. 11.4 - Prob. 25PPSCh. 11.4 - Prob. 26HPCh. 11.4 - Prob. 27HPCh. 11.4 - Prob. 28HPCh. 11.4 - Prob. 29HPCh. 11.4 - Prob. 30STPCh. 11.4 - Prob. 31STPCh. 11.4 - Prob. 32STPCh. 11.4 - Prob. 33STPCh. 11.4 - Prob. 34SRCh. 11.4 - Prob. 35SRCh. 11.4 - Prob. 36SRCh. 11.4 - Prob. 37SRCh. 11.4 - Prob. 38SRCh. 11.4 - Prob. 39SRCh. 11.4 - Prob. 40SRCh. 11.4 - Prob. 41SRCh. 11.4 - Prob. 42SCh. 11.4 - Prob. 43SCh. 11.4 - Prob. 44SCh. 11.4 - Prob. 45SCh. 11.5 - Prob. 1AGPCh. 11.5 - Prob. 1BGPCh. 11.5 - Prob. 2GPCh. 11.5 - Prob. 3GPCh. 11.5 - Prob. 4AGPCh. 11.5 - Prob. 4BGPCh. 11.5 - Prob. 1CYUCh. 11.5 - Prob. 2CYUCh. 11.5 - Prob. 3CYUCh. 11.5 - Prob. 4CYUCh. 11.5 - Prob. 5CYUCh. 11.5 - Prob. 6CYUCh. 11.5 - Prob. 7PPSCh. 11.5 - Prob. 8PPSCh. 11.5 - Prob. 9PPSCh. 11.5 - Prob. 10PPSCh. 11.5 - Prob. 11PPSCh. 11.5 - Prob. 12PPSCh. 11.5 - Prob. 13PPSCh. 11.5 - Prob. 14PPSCh. 11.5 - Prob. 15PPSCh. 11.5 - Prob. 16PPSCh. 11.5 - Prob. 17PPSCh. 11.5 - Prob. 18PPSCh. 11.5 - Prob. 19PPSCh. 11.5 - Prob. 20PPSCh. 11.5 - Prob. 21PPSCh. 11.5 - Prob. 22PPSCh. 11.5 - Prob. 23PPSCh. 11.5 - Prob. 24PPSCh. 11.5 - Prob. 25PPSCh. 11.5 - Prob. 26PPSCh. 11.5 - Prob. 27PPSCh. 11.5 - Prob. 28PPSCh. 11.5 - Prob. 29PPSCh. 11.5 - Prob. 30PPSCh. 11.5 - Prob. 31PPSCh. 11.5 - Prob. 32PPSCh. 11.5 - Prob. 33PPSCh. 11.5 - Prob. 34PPSCh. 11.5 - Prob. 35HPCh. 11.5 - Prob. 36HPCh. 11.5 - Prob. 37HPCh. 11.5 - Prob. 38HPCh. 11.5 - Prob. 39HPCh. 11.5 - Prob. 40STPCh. 11.5 - Prob. 41STPCh. 11.5 - Prob. 42STPCh. 11.5 - Prob. 43STPCh. 11.5 - Prob. 44SRCh. 11.5 - Prob. 45SRCh. 11.5 - Prob. 46SRCh. 11.5 - Prob. 47SRCh. 11.5 - Prob. 48SRCh. 11.5 - Prob. 49SRCh. 11.5 - Prob. 50SRCh. 11.5 - Prob. 51SRCh. 11.5 - Prob. 52SRCh. 11.5 - Prob. 53SRCh. 11.5 - Prob. 54SRCh. 11.5 - Prob. 55SRCh. 11.5 - Prob. 56SCh. 11.5 - Prob. 57SCh. 11.5 - Prob. 58SCh. 11.5 - Prob. 59SCh. 11.6 - Prob. 1AGPCh. 11.6 - Prob. 1BGPCh. 11.6 - Prob. 2AGPCh. 11.6 - Prob. 2BGPCh. 11.6 - Prob. 3GPCh. 11.6 - Prob. 1CYUCh. 11.6 - Prob. 2CYUCh. 11.6 - Prob. 3CYUCh. 11.6 - Prob. 4CYUCh. 11.6 - Prob. 5CYUCh. 11.6 - Prob. 6CYUCh. 11.6 - Prob. 7PPSCh. 11.6 - Prob. 8PPSCh. 11.6 - Prob. 9PPSCh. 11.6 - Prob. 10PPSCh. 11.6 - Prob. 11PPSCh. 11.6 - Prob. 12PPSCh. 11.6 - Prob. 13PPSCh. 11.6 - Prob. 14PPSCh. 11.6 - Prob. 15PPSCh. 11.6 - Prob. 16PPSCh. 11.6 - Prob. 17PPSCh. 11.6 - Prob. 18PPSCh. 11.6 - Prob. 19PPSCh. 11.6 - Prob. 20PPSCh. 11.6 - Prob. 21PPSCh. 11.6 - Prob. 22PPSCh. 11.6 - Prob. 23PPSCh. 11.6 - Prob. 24PPSCh. 11.6 - Prob. 25PPSCh. 11.6 - Prob. 26PPSCh. 11.6 - Prob. 27PPSCh. 11.6 - Prob. 28PPSCh. 11.6 - Prob. 29PPSCh. 11.6 - Prob. 30PPSCh. 11.6 - Prob. 31PPSCh. 11.6 - Prob. 32PPSCh. 11.6 - Prob. 33PPSCh. 11.6 - Prob. 34PPSCh. 11.6 - Prob. 35HPCh. 11.6 - Prob. 36HPCh. 11.6 - Prob. 37HPCh. 11.6 - Prob. 38HPCh. 11.6 - Prob. 39HPCh. 11.6 - Prob. 40STPCh. 11.6 - Prob. 41STPCh. 11.6 - Prob. 42STPCh. 11.6 - Prob. 43STPCh. 11.6 - Prob. 44SRCh. 11.6 - Prob. 45SRCh. 11.6 - Prob. 46SRCh. 11.6 - Prob. 47SRCh. 11.6 - Prob. 48SRCh. 11.6 - Prob. 49SRCh. 11.6 - Prob. 50SRCh. 11.6 - Prob. 51SRCh. 11.6 - Prob. 52SRCh. 11.6 - Prob. 53SRCh. 11.6 - Prob. 54SCh. 11.6 - Prob. 55SCh. 11.6 - Prob. 56SCh. 11.6 - Prob. 57SCh. 11.7 - Prob. 1AGPCh. 11.7 - Prob. 1BGPCh. 11.7 - Prob. 2GPCh. 11.7 - Prob. 3GPCh. 11.7 - Prob. 1CYUCh. 11.7 - Prob. 2CYUCh. 11.7 - Prob. 3CYUCh. 11.7 - Prob. 4CYUCh. 11.7 - Prob. 5CYUCh. 11.7 - Prob. 6CYUCh. 11.7 - Prob. 7PPSCh. 11.7 - Prob. 8PPSCh. 11.7 - Prob. 9PPSCh. 11.7 - Prob. 10PPSCh. 11.7 - Prob. 11PPSCh. 11.7 - Prob. 12PPSCh. 11.7 - Prob. 13PPSCh. 11.7 - Prob. 14PPSCh. 11.7 - Prob. 15PPSCh. 11.7 - Prob. 16PPSCh. 11.7 - Prob. 17PPSCh. 11.7 - Prob. 18PPSCh. 11.7 - Prob. 19PPSCh. 11.7 - Prob. 20PPSCh. 11.7 - Prob. 21PPSCh. 11.7 - Prob. 22PPSCh. 11.7 - Prob. 23PPSCh. 11.7 - Prob. 24PPSCh. 11.7 - Prob. 25HPCh. 11.7 - Prob. 26HPCh. 11.7 - Prob. 27HPCh. 11.7 - Prob. 28HPCh. 11.7 - Prob. 29HPCh. 11.7 - Prob. 30STPCh. 11.7 - Prob. 31STPCh. 11.7 - Prob. 32STPCh. 11.7 - Prob. 33STPCh. 11.7 - Prob. 34SRCh. 11.7 - Prob. 35SRCh. 11.7 - Prob. 36SRCh. 11.7 - Prob. 37SRCh. 11.7 - Prob. 38SRCh. 11.7 - Prob. 39SRCh. 11.7 - Prob. 40SRCh. 11.7 - Prob. 41SRCh. 11.7 - Prob. 42SCh. 11.7 - Prob. 43SCh. 11.7 - Prob. 44SCh. 11.8 - Prob. 1AGPCh. 11.8 - Prob. 1BGPCh. 11.8 - Prob. 2GPCh. 11.8 - Prob. 3GPCh. 11.8 - Prob. 1CYUCh. 11.8 - Prob. 2CYUCh. 11.8 - Prob. 3CYUCh. 11.8 - Prob. 4CYUCh. 11.8 - Prob. 5CYUCh. 11.8 - Prob. 6CYUCh. 11.8 - Prob. 7CYUCh. 11.8 - Prob. 8CYUCh. 11.8 - Prob. 9PPSCh. 11.8 - Prob. 10PPSCh. 11.8 - Prob. 11PPSCh. 11.8 - Prob. 12PPSCh. 11.8 - Prob. 13PPSCh. 11.8 - Prob. 14PPSCh. 11.8 - Prob. 15PPSCh. 11.8 - Prob. 16PPSCh. 11.8 - Prob. 17PPSCh. 11.8 - Prob. 18PPSCh. 11.8 - Prob. 19PPSCh. 11.8 - Prob. 20PPSCh. 11.8 - Prob. 21PPSCh. 11.8 - Prob. 22PPSCh. 11.8 - Prob. 23PPSCh. 11.8 - Prob. 24PPSCh. 11.8 - Prob. 25PPSCh. 11.8 - Prob. 26PPSCh. 11.8 - Prob. 27PPSCh. 11.8 - Prob. 28PPSCh. 11.8 - Prob. 29PPSCh. 11.8 - Prob. 30PPSCh. 11.8 - Prob. 31PPSCh. 11.8 - Prob. 32HPCh. 11.8 - Prob. 33HPCh. 11.8 - Prob. 34HPCh. 11.8 - Prob. 35HPCh. 11.8 - Prob. 36HPCh. 11.8 - Prob. 37STPCh. 11.8 - Prob. 38STPCh. 11.8 - Prob. 39STPCh. 11.8 - Prob. 40STPCh. 11.8 - Prob. 41SRCh. 11.8 - Prob. 42SRCh. 11.8 - Prob. 43SRCh. 11.8 - Prob. 44SRCh. 11.8 - Prob. 45SRCh. 11.8 - Prob. 46SRCh. 11.8 - Prob. 47SRCh. 11.8 - Prob. 48SCh. 11.8 - Prob. 49SCh. 11.8 - Prob. 50SCh. 11.8 - Prob. 51SCh. 11.9 - Prob. 1AGPCh. 11.9 - Prob. 1BGPCh. 11.9 - Prob. 2GPCh. 11.9 - Prob. 1CYUCh. 11.9 - Prob. 2CYUCh. 11.9 - Prob. 3CYUCh. 11.9 - Prob. 4CYUCh. 11.9 - Prob. 5CYUCh. 11.9 - Prob. 6PPSCh. 11.9 - Prob. 7PPSCh. 11.9 - Prob. 8PPSCh. 11.9 - Prob. 9PPSCh. 11.9 - Prob. 10PPSCh. 11.9 - Prob. 11PPSCh. 11.9 - Prob. 12PPSCh. 11.9 - Prob. 13PPSCh. 11.9 - Prob. 14PPSCh. 11.9 - Prob. 15PPSCh. 11.9 - Prob. 16PPSCh. 11.9 - Prob. 17PPSCh. 11.9 - Prob. 18PPSCh. 11.9 - Prob. 19PPSCh. 11.9 - Prob. 20PPSCh. 11.9 - Prob. 21PPSCh. 11.9 - Prob. 22PPSCh. 11.9 - Prob. 23HPCh. 11.9 - Prob. 24HPCh. 11.9 - Prob. 25HPCh. 11.9 - Prob. 26HPCh. 11.9 - Prob. 27STPCh. 11.9 - Prob. 28STPCh. 11.9 - Prob. 29STPCh. 11.9 - Prob. 30STPCh. 11.9 - Prob. 31SRCh. 11.9 - Prob. 32SRCh. 11.9 - Prob. 33SRCh. 11.9 - Prob. 34SRCh. 11.9 - Prob. 35SRCh. 11.9 - Prob. 36SRCh. 11.9 - Prob. 37SCh. 11.9 - Prob. 38SCh. 11.9 - Prob. 39SCh. 11.9 - Prob. 40SCh. 11 - Prob. 1QCCh. 11 - Prob. 2QCCh. 11 - Prob. 3QCCh. 11 - Prob. 4QCCh. 11 - Prob. 5QCCh. 11 - Prob. 6QCCh. 11 - Prob. 7QCCh. 11 - Prob. 8QCCh. 11 - Prob. 9QCCh. 11 - Prob. 10QCCh. 11 - Prob. 11QCCh. 11 - Prob. 12QCCh. 11 - Prob. 13QCCh. 11 - Prob. 14QCCh. 11 - Prob. 15QCCh. 11 - Prob. 16QCCh. 11 - Prob. 17QCCh. 11 - Prob. 18QCCh. 11 - Prob. 19QCCh. 11 - Prob. 20QCCh. 11 - Prob. 21QCCh. 11 - Prob. 1MCQCh. 11 - Prob. 2MCQCh. 11 - Prob. 3MCQCh. 11 - Prob. 4MCQCh. 11 - Prob. 5MCQCh. 11 - Prob. 6MCQCh. 11 - Prob. 7MCQCh. 11 - Prob. 8MCQCh. 11 - Prob. 9MCQCh. 11 - Prob. 10MCQCh. 11 - Prob. 11MCQCh. 11 - Prob. 12MCQCh. 11 - Prob. 13MCQCh. 11 - Prob. 14MCQCh. 11 - Prob. 15MCQCh. 11 - Prob. 16MCQCh. 11 - Prob. 1SGRCh. 11 - Prob. 2SGRCh. 11 - Prob. 3SGRCh. 11 - Prob. 4SGRCh. 11 - Prob. 5SGRCh. 11 - Prob. 6SGRCh. 11 - Prob. 7SGRCh. 11 - Prob. 8SGRCh. 11 - Prob. 9SGRCh. 11 - Prob. 10SGRCh. 11 - Prob. 11SGRCh. 11 - Prob. 12SGRCh. 11 - Prob. 13SGRCh. 11 - Prob. 14SGRCh. 11 - Prob. 15SGRCh. 11 - Prob. 16SGRCh. 11 - Prob. 17SGRCh. 11 - Prob. 18SGRCh. 11 - Prob. 19SGRCh. 11 - Prob. 20SGRCh. 11 - Prob. 21SGRCh. 11 - Prob. 22SGRCh. 11 - Prob. 23SGRCh. 11 - Prob. 24SGRCh. 11 - Prob. 25SGRCh. 11 - Prob. 26SGRCh. 11 - Prob. 27SGRCh. 11 - Prob. 28SGRCh. 11 - Prob. 29SGRCh. 11 - Prob. 30SGRCh. 11 - Prob. 31SGRCh. 11 - Prob. 32SGRCh. 11 - Prob. 33SGRCh. 11 - Prob. 34SGRCh. 11 - Prob. 35SGRCh. 11 - Prob. 36SGRCh. 11 - Prob. 37SGRCh. 11 - Prob. 38SGRCh. 11 - Prob. 39SGRCh. 11 - Prob. 40SGRCh. 11 - Prob. 41SGRCh. 11 - Prob. 1PTCh. 11 - Prob. 2PTCh. 11 - Prob. 3PTCh. 11 - Prob. 4PTCh. 11 - Prob. 5PTCh. 11 - Prob. 6PTCh. 11 - Prob. 7PTCh. 11 - Prob. 8PTCh. 11 - Prob. 9PTCh. 11 - Prob. 10PTCh. 11 - Prob. 11PTCh. 11 - Prob. 12PTCh. 11 - Prob. 13PTCh. 11 - Prob. 14PTCh. 11 - Prob. 15PTCh. 11 - Prob. 16PTCh. 11 - Prob. 1ECh. 11 - Prob. 2ECh. 11 - Prob. 3ECh. 11 - Prob. 4ECh. 11 - Prob. 1STPCh. 11 - Prob. 2STPCh. 11 - Prob. 3STPCh. 11 - Prob. 4STPCh. 11 - Prob. 5STPCh. 11 - Prob. 6STPCh. 11 - Prob. 7STPCh. 11 - Prob. 8STPCh. 11 - Prob. 9STPCh. 11 - Prob. 10STPCh. 11 - Prob. 11STPCh. 11 - Prob. 12STPCh. 11 - Prob. 13STPCh. 11 - Prob. 14STP
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