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
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
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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What's 7 and 8
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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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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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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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