Given: Lines PT and RV intersect at point Q mzPQV = 3x + 12, and mzVQT = 12x + 3. Prove: mzPQV = 45° Statement: 1. PQV and VQT form a linear pair 2.mzPQV+mzVQT = 180° 2. Postulate 3. mzPQV = 3x + 12 4. m/VQT = 12x+3 5.3x+12+12x+3=180° 6. 15x+15= 180° 7.15x=165° 8.x= 11° 9. mzPQV=3(11) +12 10. mzPQV=45° Reason: 8. 1. Given 3. Given 4. Given 5. Substitution 6. Algebra 7.[? ] 9. Substitution 10. Arithmetic

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 21E
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What's 7 and 8

F2
Given: Lines PT and RV intersect at point Q,
mzPQV = 3x + 12, and m/VQT = 12x + 3.
Prove: mzPQV = 45°
Statement:
1. 2PQV and VQT
form a linear pair
2. mzPQV+m/VQT = 180° 2. Postulate
3. mzPQV = 3x + 12 3. Given
4. Given
4. m/VQT = 12x+3
5.3x+12 + 12x +3=180°
6.15x+15= 180°
7.15x=165°
8.x = 11°
8.
9. mzPQV = 3(11) +12
10. m/PQV = 45°
#3
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Win
Copyright © 2003 - 2023 International Academy of Science. All Rights Reserved.
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Reason:
5. Substitution
6. Algebra
7.[? ]
@
1. Given
9. Substitution
10. Arithmetic
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5
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Select the reason that best
supports Statement 7 in the
given proof.
A. Subtraction Property of Equality
B. Division Property of Equality
C. Addition Property of Equality
D. Multiplication Property of Equality
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F10
Transcribed Image Text:F2 Given: Lines PT and RV intersect at point Q, mzPQV = 3x + 12, and m/VQT = 12x + 3. Prove: mzPQV = 45° Statement: 1. 2PQV and VQT form a linear pair 2. mzPQV+m/VQT = 180° 2. Postulate 3. mzPQV = 3x + 12 3. Given 4. Given 4. m/VQT = 12x+3 5.3x+12 + 12x +3=180° 6.15x+15= 180° 7.15x=165° 8.x = 11° 8. 9. mzPQV = 3(11) +12 10. m/PQV = 45° #3 E Win Copyright © 2003 - 2023 International Academy of Science. All Rights Reserved. D C o F3 4 $ LL R F fa Reason: 5. Substitution 6. Algebra 7.[? ] @ 1. Given 9. Substitution 10. Arithmetic V F4 % 5 T G B F5 6 Y H F6 N & 7 ►ll U J F7 Select the reason that best supports Statement 7 in the given proof. A. Subtraction Property of Equality B. Division Property of Equality C. Addition Property of Equality D. Multiplication Property of Equality 8 M F8 K 9 H F9 ) 0 | ² F10
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