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Math Geometry Elementary Geometry for College Students

State the conclusion for the following deductive argument. (1) If you study geometry, then you will develop reasoning skills. (2) Kianna is studying geometry this semester.

State the conclusion for the following deductive argument. (1) If you study geometry, then you will develop reasoning skills. (2) Kianna is studying geometry this semester.

Solution Summary: The author explains that if a given condition is hold, then it is called hypothesis. If the result is based on that condition, the conclusion is that Kianna will develop reasoning skills.

Elementary Geometry for College Students

Elementary Geometry for College Students

6th Edition

ISBN: 9781285195698

Author: Daniel C. Alexander, Geralyn M. Koeberlein

Publisher: Cengage Learning

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Textbook Question

Chapter 1.CT, Problem 9CT

State the conclusion for the following deductive argument.

(1) If you study geometry, then you will develop reasoning skills.

(2) Kianna is studying geometry this semester.

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Chapter 1.CT, Problem 8CT

Chapter 1.CT, Problem 10CT

Chapter 1 Solutions

Elementary Geometry for College Students

Ch. 1.1 - In Exercises 1 and 2, which sentences are...Ch. 1.1 - In Exercises 1 and 2, which sentences are...Ch. 1.1 - In Exercises 3 and 4, give the negation of each...Ch. 1.1 - In Exercises 3 and 4, give the negation of each...Ch. 1.1 - In Exercises 5 to 10, classify each statement as...Ch. 1.1 - In Exercises 5 to 10, classify each statement as...Ch. 1.1 - In Exercises 5 to 10, classify each statement as...Ch. 1.1 - In Exercises 5 to 10, classify each statement as...Ch. 1.1 - In Exercises 5 to 10, classify each statement as...Ch. 1.1 - In Exercises 5 to 10, classify each statement as...

Ch. 1.1 - In Exercises 11 to 18, state the hypothesis and...Ch. 1.1 - In Exercises 11 to 18, state the hypothesis and...Ch. 1.1 - In Exercises 11 to 18, state the hypothesis and...Ch. 1.1 - Prob. 14E Ch. 1.1 - In Exercises 11 to 18, state the hypothesis and...Ch. 1.1 - In Exercises 11 to 18, state the hypothesis and...Ch. 1.1 - In Exercises 11 to 18, state the hypothesis and...Ch. 1.1 - In Exercises 11 to 18, state the hypothesis and...Ch. 1.1 - In Exercises 19 to 24, classify each statement as...Ch. 1.1 - In Exercises 19 to 24, classify each statement as...Ch. 1.1 - In Exercises 19 to 24, classify each statement as...Ch. 1.1 - In Exercises 19 to 24, classify each statement as...Ch. 1.1 - In Exercises 19 to 24, classify each statement as...Ch. 1.1 - In Exercises 19 to 24, classify each statement as...Ch. 1.1 - In Exercises 25 to 32, name the type of reasoning...Ch. 1.1 - In Exercises 25 to 32, name the type of reasoning...Ch. 1.1 - In Exercises 25 to 32, name the type of reasoning...Ch. 1.1 - In Exercises 25 to 32, name the type of reasoning...Ch. 1.1 - In Exercises 25 to 32, name the type of reasoning...Ch. 1.1 - In Exercises 25 to 32, name the type of reasoning...Ch. 1.1 - In Exercises 25 to 32, name the type of reasoning...Ch. 1.1 - Prob. 32E Ch. 1.1 - In Exercises 33 to 36, use intuition to state a...Ch. 1.1 - Prob. 34E Ch. 1.1 - In Exercises 33 to 36, use intuition to state a...Ch. 1.1 - In Exercises 33 to 36, use intuition to state a...Ch. 1.1 - Prob. 37E Ch. 1.1 - In Exercises 37 to 40, use induction to state a...Ch. 1.1 - Prob. 39E Ch. 1.1 - In Exercises 37 to 40, use induction to state a...Ch. 1.1 - In Exercises 41 to 50, use deduction to state a...Ch. 1.1 - In Exercises 41 to 50, use deduction to state a...Ch. 1.1 - In Exercises 41 to 50, use deduction to state a...Ch. 1.1 - In Exercises 41 to 50, use deduction to state a...Ch. 1.1 - In Exercises 41 to 50, use deduction to state a...Ch. 1.1 - In Exercises 41 to 50, use deduction to state a...Ch. 1.1 - Prob. 47E Ch. 1.1 - In Exercises 41 to 50, use deduction to state a...Ch. 1.1 - In Exercises 41 to 50, use deduction to state a...Ch. 1.1 - In Exercises 41 to 50, use deduction to state a...Ch. 1.1 - In Exercises 51 to 54, use Venn diagrams to...Ch. 1.1 - In Exercises 51 to 54, use Venn diagrams to...Ch. 1.1 - In Exercises 51 to 54, use Venn diagrams to...Ch. 1.1 - In Exercises 51 to 54, use Venn diagrams to...Ch. 1.1 - Prob. 55E Ch. 1.1 - In Exercises 55 and 56, P is a true statement,...Ch. 1.1 - In Exercises 55 and 56, P is a true statement,...Ch. 1.2 - If line segment AB and line segment CD are drawn...Ch. 1.2 - If angles ABC and DEF were measured with a...Ch. 1.2 - How many endpoints does a line segment have? How...Ch. 1.2 - Do the points A, B, and C appear to be collinear?Ch. 1.2 - How many lines can be drawn that contain both...Ch. 1.2 - Consider noncollinear points A, B, and C. If each...Ch. 1.2 - Name all the angles in the figure.Ch. 1.2 - Which of the following measures can an angle have?...Ch. 1.2 - Must two different points be collinear? Must three...Ch. 1.2 - Which symbols correctly expresses the order in...Ch. 1.2 - Which symbols correctly name the angle shown?ABC,...Ch. 1.2 - A triangle is named ABC. Can it also be named ACB?...Ch. 1.2 - Consider rectangle MNQ. Can it also be named...Ch. 1.2 - Suppose ABC and DEF have the same measure. Which...Ch. 1.2 - Suppose AB and CD have the same length. Which...Ch. 1.2 - When two lines cross intersect, they have exactly...Ch. 1.2 - Judging from the ruler shown not to scale,...Ch. 1.2 - Judging from the ruler, estimate the measure of...Ch. 1.2 - Prob. 19E Ch. 1.2 - Prob. 20E Ch. 1.2 - Consider the square at the right, RSTV. It has...Ch. 1.2 - Square RSTV has diagonals RT and SV not shown. If...Ch. 1.2 - Use a compass to draw a circle. Draw a radius, a...Ch. 1.2 - Use a compass to draw a circle of radius 1 inch....Ch. 1.2 - The sides of the pair of angles are parallel. Are...Ch. 1.2 - The sides of the pair of angles are parallel. Are...Ch. 1.2 - The sides of the pair of angles are perpendicular....Ch. 1.2 - The sides of the pair of angles are perpendicular....Ch. 1.2 - On a piece of paper, use your compass to construct...Ch. 1.2 - On a piece of paper, use your protractor to draw a...Ch. 1.2 - A trapezoid is a four-sided figure that contains...Ch. 1.2 - In the rectangle shown, what is true of the...Ch. 1.2 - Prob. 33E Ch. 1.2 - An angle is bisected if its two parts have the...Ch. 1.2 - Prob. 35E Ch. 1.2 - Prob. 36E Ch. 1.2 - Prob. 37E Ch. 1.2 - Prob. 38E Ch. 1.2 - ABC is straight angle. Using your protractor, you...Ch. 1.2 - Prob. 40E Ch. 1.2 - Prob. 41E Ch. 1.2 - In Exercises 41 to 44,m1+m2=mABC. Find m1 if...Ch. 1.2 - Prob. 43E Ch. 1.2 - Prob. 44E Ch. 1.2 - A compass was used to mark off three congruent...Ch. 1.2 - Use your compass and straightedge to bisect EF.Ch. 1.2 - In the figure, m1=x and m2=y. If x-y=24, find x...Ch. 1.2 - In the drawing, m1=x and m2=y. If mRSV=67 and...Ch. 1.2 - For Exercises 49 to 50, use the following...Ch. 1.2 - For Exercises 49 to 50, use the following...Ch. 1.3 - In Exercises 1 and 2, complete the statement....Ch. 1.3 - In Exercises 1 and 2, complete the statement....Ch. 1.3 - In Exercises 3 and 4, use the fact that...Ch. 1.3 - Prob. 4E Ch. 1.3 - Prob. 5E Ch. 1.3 - In Exercises 5 and 6, use the fact that...Ch. 1.3 - Prob. 7E Ch. 1.3 - A cross-country runner jogs at a rate of 15 feet...Ch. 1.3 - In Exercises 9 to 28, use the drawings as needed...Ch. 1.3 - In Exercises 9 to 28, use the drawings as needed...Ch. 1.3 - In Exercises 9 to 28, use the drawings as needed...Ch. 1.3 - In Exercises 9 to 28, use the drawings as needed...Ch. 1.3 - In Exercises 9 to 28, use the drawings as needed...Ch. 1.3 - In Exercises 9 to 28, use the drawings as needed...Ch. 1.3 - In Exercises 9 to 28, use the drawings as needed...Ch. 1.3 - In Exercises 9 to 28, use the drawings as needed...Ch. 1.3 - In Exercises 9 to 28, use the drawings as needed...Ch. 1.3 - In Exercises 9 to 28, use the drawings as needed...Ch. 1.3 - In Exercises 9 to 28, use the drawings as needed...Ch. 1.3 - Prob. 20E Ch. 1.3 - In Exercises 9 to 28, use the drawings as needed...Ch. 1.3 - Prob. 22E Ch. 1.3 - Prob. 23E Ch. 1.3 - Prob. 24E Ch. 1.3 - In Exercises 9 to 28, use the drawings as needed...Ch. 1.3 - In Exercises 9 to 28, use the drawings as needed...Ch. 1.3 - Prob. 27E Ch. 1.3 - In Exercises 9 to 28, use the drawings as needed...Ch. 1.3 - Prob. 29E Ch. 1.3 - In Exercises 29 to 32, use only a compass and a...Ch. 1.3 - In Exercises 29 to 32, use only a compass and a...Ch. 1.3 - Prob. 32E Ch. 1.3 - Can you use the construction for the midpoint of a...Ch. 1.3 - Generalize your findings in Exercise 33. 33. Can...Ch. 1.3 - Consider points A, B, C, and D, no three of which...Ch. 1.3 - Consider noncoplanar points A, B, C, and D. Using...Ch. 1.3 - Line l is parallel to plane P that is, it will not...Ch. 1.3 - AB and EF are said to be skew lines because they...Ch. 1.3 - Exercises 3840 In the box shown for Exercise 38,...Ch. 1.3 - Exercises 3940 In the box shown for Exercise 38,...Ch. 1.3 - Let AB=a and BC=b. Point M is the midpoint of BC....Ch. 1.4 - What type of angle has the given measure? a 47 b...Ch. 1.4 - What type of angle has the given measure? a 115 b...Ch. 1.4 - What relationship, if any, exists between two...Ch. 1.4 - What relationship, if any, exists between two...Ch. 1.4 - In Exercises 5 to 8, describe in one word the...Ch. 1.4 - In Exercises 5 to 8, describe in one word the...Ch. 1.4 - In Exercises 5 to 8, describe in one word the...Ch. 1.4 - In Exercises 5 to 8, describe in one word the...Ch. 1.4 - Use drawings as needed to answer each of the...Ch. 1.4 - Suppose that AB,AC,AD,AE, and AF are coplanar,...Ch. 1.4 - Exercises 10-13 Without using a protractor, name...Ch. 1.4 - Exercises 10-13 What, if anything, is wrong with...Ch. 1.4 - Exercises 10-13 FAC and CAD are adjacent and AF...Ch. 1.4 - For Exercises 14 and 15, let m1=x and m2=y. Using...Ch. 1.4 - For Exercises 14 and 15, let m1=x and m2=y. Using...Ch. 1.4 - Given: mRST=39 mTSV=23 Find: mRSV Exercises 1624 Ch. 1.4 - Exercises 1624 Given: mRSV=59 mTSV=17 Find: mRST Ch. 1.4 - Exercises 1624 Given: mRST=2x+9 mTSV=3x2 mRSV=67...Ch. 1.4 - Exercises 1624 Given: mRST=2x10 mTSV=x+6...Ch. 1.4 - Exercises 1624 Given: mRST=5(x+1)3 mTSV=4(x2)+3...Ch. 1.4 - Exercises 1624 Given: mRST=x2 mTSV=x4 mRSV=45...Ch. 1.4 - Exercises 1624 Given: mRST=2x3 mTSV=x2 mRSV=49...Ch. 1.4 - Exercises 1624 Given: STbisectsRSV mRST=x+y...Ch. 1.4 - Exercises 1624 Given: STbisectsRSV mRST=2x+3y...Ch. 1.4 - Given: AB and AC in plane P as shown AD intersects...Ch. 1.4 - Two angles are complementary. One angle is 12...Ch. 1.4 - Two angles are supplementary. One angle is 24 more...Ch. 1.4 - For two complementary angles, find an expression...Ch. 1.4 - Suppose that the two angles are supplementary....Ch. 1.4 - On the protractor shown, NP bisects MNQ. Find x....Ch. 1.4 - Exercises 30,31 On the protractor shown for...Ch. 1.4 - Classify as true or false: a If points P and Q lie...Ch. 1.4 - Prob. 33E Ch. 1.4 - Prob. 34E Ch. 1.4 - In Exercises 33 to 40, use only a compass and a...Ch. 1.4 - Prob. 36E Ch. 1.4 - Draw a triangle with three acute angles. Construct...Ch. 1.4 - Prob. 38E Ch. 1.4 - Prob. 39E Ch. 1.4 - Prob. 40E Ch. 1.4 - Prob. 41E Ch. 1.4 - If mTSV=38,mUSW=40, and mTSW=61, find mUSV....Ch. 1.4 - Exercises 44, 45 If mTSU=x+2z,mUSV=xz, and...Ch. 1.4 - Prob. 44E Ch. 1.4 - Prob. 45E Ch. 1.4 - With 0x90, an acute angle has a measure x. Find...Ch. 1.5 - In Exercises 1 to 6, which property justifies the...Ch. 1.5 - In Exercises 1 to 6, which property justifies the...Ch. 1.5 - In Exercises 1 to 6, which property justifies the...Ch. 1.5 - Prob. 4E Ch. 1.5 - Prob. 5E Ch. 1.5 - In Exercises 1 to 6, which property justifies the...Ch. 1.5 - In Exercises 7 10, state the property or...Ch. 1.5 - In Exercises 7 10, state the property or...Ch. 1.5 - Prob. 9E Ch. 1.5 - In Exercises 7 10, state the property or...Ch. 1.5 - Prob. 11E Ch. 1.5 - Prob. 12E Ch. 1.5 - Prob. 13E Ch. 1.5 - Prob. 14E Ch. 1.5 - Prob. 15E Ch. 1.5 - Prob. 16E Ch. 1.5 - In Exercises 11 to 22, use the Given information...Ch. 1.5 - Prob. 18E Ch. 1.5 - Prob. 19E Ch. 1.5 - Prob. 20E Ch. 1.5 - In Exercises 11 to 22, use the Given information...Ch. 1.5 - Prob. 22E Ch. 1.5 - In Exercises 23 to 24, fill in the missing reasons...Ch. 1.5 - In Exercises 23 to 24, fill in the missing reasons...Ch. 1.5 - Prob. 25E Ch. 1.5 - Prob. 26E Ch. 1.5 - Prob. 27E Ch. 1.5 - In Exercises 27 to 30, fill in the missing reasons...Ch. 1.5 - In Exercises 27 to 30, fill in the missing reasons...Ch. 1.5 - In Exercises 27 to 30, fill in the missing reasons...Ch. 1.5 - In Exercises 31 and 32, fill in the missing...Ch. 1.5 - In Exercises 31 and 32, fill in the missing...Ch. 1.5 - Prob. 33E Ch. 1.5 - Prob. 34E Ch. 1.5 - Prob. 35E Ch. 1.5 - The Division Property of Inequality requires that...Ch. 1.5 - Prob. 37E Ch. 1.5 - Write a proof for: If a=b and c=d, then ac=bd....Ch. 1.6 - In Exercise 1 and 2, supply reasons. Given: 13...Ch. 1.6 - In Exercise 1 and 2, supply reasons. Given: AB...Ch. 1.6 - In Exercise 3 and 4, supply statements. Given: 12...Ch. 1.6 - In Exercise 3 and 4, supply statements. Given:...Ch. 1.6 - In Exercise 5 to 9, use a compass and a...Ch. 1.6 - In Exercises 5 to 9, use a compass and a...Ch. 1.6 - In Exercise 5 to 9, use a compass and a...Ch. 1.6 - Prob. 8E Ch. 1.6 - Prob. 9E Ch. 1.6 - Prob. 10E Ch. 1.6 - In Exercise 11 and 12, provide the missing...Ch. 1.6 - In Exercise 11 and 12, provide the missing...Ch. 1.6 - Does the relation is perpendicular to have a...Ch. 1.6 - Does the relation is greater than have a reflexive...Ch. 1.6 - Does the relation is complementary to for angles...Ch. 1.6 - Does the relation is less than for a numbers have...Ch. 1.6 - Does the relation is a brother of have a reflexive...Ch. 1.6 - Does the relation is in love with have a reflexive...Ch. 1.6 - Prob. 19E Ch. 1.6 - Prob. 20E Ch. 1.6 - Prob. 21E Ch. 1.6 - Prob. 22E Ch. 1.6 - Prove the Extended Segment Addition Property by...Ch. 1.6 - The Segment-Addition Postulate can be generalized...Ch. 1.6 - Prove the Extended Angle Addition Property by...Ch. 1.6 - The Angle-Addition Postulate can be generalized as...Ch. 1.6 - Prob. 27E Ch. 1.6 - In the proof below, provide the missing reasons....Ch. 1.6 - Prob. 29E Ch. 1.6 - Prob. 30E Ch. 1.7 - In Exercises 1 to 6, state the hypothesis H and...Ch. 1.7 - In Exercises 1 to 6, state the hypothesis H and...Ch. 1.7 - In Exercises 1 to 6, state the hypothesis H and...Ch. 1.7 - In Exercises 1 to 6, state the hypothesis H and...Ch. 1.7 - Prob. 5E Ch. 1.7 - In Exercises 1 to 6, state the hypothesis H and...Ch. 1.7 - Name, in order, the five parts of the formal proof...Ch. 1.7 - Which part hypothesis or conclusion of a theorem...Ch. 1.7 - Which part Given or Prove of the proof depends...Ch. 1.7 - Which of the following can be cited as a reason in...Ch. 1.7 - When can a theorem be cited as a reason reason in...Ch. 1.7 - Based upon the hypothesis of a theorem, do the...Ch. 1.7 - Prob. 13E Ch. 1.7 - Prob. 14E Ch. 1.7 - For each theorem stated in Exercises 13 to 18,...Ch. 1.7 - Prob. 16E Ch. 1.7 - For each theorem stated in Exercises 13 to 18,...Ch. 1.7 - Prob. 18E Ch. 1.7 - Prob. 19E Ch. 1.7 - Prob. 20E Ch. 1.7 - Prob. 21E Ch. 1.7 - Prob. 22E Ch. 1.7 - Prob. 23E Ch. 1.7 - Prob. 24E Ch. 1.7 - In Exercises 19 to 26, use the drawing in which AC...Ch. 1.7 - In Exercises 19 to 26, use the drawing in which AC...Ch. 1.7 - Prob. 27E Ch. 1.7 - Prob. 28E Ch. 1.7 - In Exercises 27 to 35, complete the formal proof...Ch. 1.7 - Prob. 30E Ch. 1.7 - Prob. 31E Ch. 1.7 - Prob. 32E Ch. 1.7 - In Exercises 27 to 35, complete the formal proof...Ch. 1.7 - In Exercises 27 to 35, complete the formal proof...Ch. 1.7 - In Exercises 27 to 35, complete the formal proof...Ch. 1.CR - Name the four components of a mathematical system.Ch. 1.CR - Name three types of reasoning.Ch. 1.CR - Name the four characteristics of a good...Ch. 1.CR - In Review Exercises 4 to 6, name the type of...Ch. 1.CR - In Review Exercises 4 to 6, name the type of...Ch. 1.CR - In Review Exercises 4 to 6, name the type of...Ch. 1.CR - In Review Exercises 7 and 8, state the hypothesis...Ch. 1.CR - In Review Exercises 7 and 8, state the hypothesis...Ch. 1.CR - Prob. 9CR Ch. 1.CR - Prob. 10CR Ch. 1.CR - Prob. 11CR Ch. 1.CR - A, B and C are three points on a line. AC=8, BC=4,...Ch. 1.CR - Use three letters to name the angle shown. Also...Ch. 1.CR - Figure MNPQ is a rhombus. Draw diagonals MP and QN...Ch. 1.CR - In Review Exercises 15 to 17, sketch and label the...Ch. 1.CR - In Review Exercises 15 to 17, sketch and label the...Ch. 1.CR - In Review Exercises 15 to 17, sketch and label the...Ch. 1.CR - On the basis of appearance, what type of angle is...Ch. 1.CR - On the basis of appearance, what type of angle is...Ch. 1.CR - Given: BD bisects ABC mABD=2x+15 mDBC=3x+5 Find:...Ch. 1.CR - Given: mABD=2x+5 mDBC=3x4 mABC=86 Find: mDBC Ch. 1.CR - Given: AM=3x1 MB=4x5 M is the midpoint of AB Find:...Ch. 1.CR - Given: AM=4x4 MB=5x+2 AB=25 Find: MB Ch. 1.CR - Given: D is the midpoint of AC ACBC CD=2x+5...Ch. 1.CR - Given: m3=7x21 m4=3x+7 Find: mFMH Ch. 1.CR - Given: mFMH=4x+1 m4=x+4 Find: m4 Ch. 1.CR - In the figure, find: a KHFJ b MJMH c KMJJMH d MKMH Ch. 1.CR - Given: EFG is a right angle. mHFG=2x6 mEFH=3mHFG...Ch. 1.CR - Two angles are supplementary. One angle is 40 more...Ch. 1.CR - aWrite an expression for the perimeter of the...Ch. 1.CR - The sum of the measures of all three angles of the...Ch. 1.CR - Susan wants to have a 4-ft board with some pegs on...Ch. 1.CR - State whether the sentences in Review Exercises 33...Ch. 1.CR - State whether the sentences in Review Exercises 33...Ch. 1.CR - State whether the sentences in Review Exercises 33...Ch. 1.CR - State whether the sentences in Review Exercises 33...Ch. 1.CR - State whether the sentences in Review Exercises 33...Ch. 1.CR - Fill in the missing statements or reasons. Given:...Ch. 1.CR - Write two-column proofs for Review Exercises 39 to...Ch. 1.CR - Write two-column proofs for Review Exercises 39 to...Ch. 1.CR - Prob. 41CR Ch. 1.CR - Prob. 42CR Ch. 1.CR - Prob. 43CR Ch. 1.CR - Prob. 44CR Ch. 1.CR - Prob. 45CR Ch. 1.CR - Prob. 46CR Ch. 1.CR - Given: VP Construct: VW such that VW=4VP Ch. 1.CR - Prob. 48CR Ch. 1.CR - Prob. 49CR Ch. 1.CR - Prob. 50CR Ch. 1.CR - Prob. 51CR Ch. 1.CR - Prob. 52CR Ch. 1.CT - Which type of reasoning is illustrated...Ch. 1.CT - Given ABC as shown, provide a second correct...Ch. 1.CT - Using the Segment-Addition Postulate, state a...Ch. 1.CT - Complete each postulate: a If two lines intersect,...Ch. 1.CT - Prob. 5CT Ch. 1.CT - Prob. 6CT Ch. 1.CT - Given that NP bisects MNQ, state a conclusion...Ch. 1.CT - Complete each theorem: a If two lines are...Ch. 1.CT - State the conclusion for the following deductive...Ch. 1.CT - Prob. 10CT Ch. 1.CT - In the figure, AB=x, BD=x+5, and AD=27. Find: a...Ch. 1.CT - Prob. 12CT Ch. 1.CT - Prob. 13CT Ch. 1.CT - Prob. 14CT Ch. 1.CT - Prob. 15CT Ch. 1.CT - Prob. 16CT Ch. 1.CT - Prob. 17CT Ch. 1.CT - Construct the angle bisector of obtuse angle RST.Ch. 1.CT - Prob. 19CT Ch. 1.CT - In exercises 20 to 22, complete the missing...Ch. 1.CT - Prob. 21CT Ch. 1.CT - In exercises 20 to 22, complete the missing...Ch. 1.CT - Prob. 23CT

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