What's 7 and 8 F2Given: Lines PT and RV intersect at point Q,mzPQV = 3x + 12, and m/VQT = 12x + 3.Prove: mzPQV = 45°Statement:1. 2PQV and VQTform a linear pair2. mzPQV+m/VQT = 180° 2. Postulate3. mzPQV = 3x + 12 3. Given4. Given4. m/VQT = 12x+35.3x+12 + 12x +3=180°6.15x+15= 180°7.15x=165°8.x = 11°8.9. mzPQV = 3(11) +1210. m/PQV = 45°#3EWinCopyright © 2003 - 2023 International Academy of Science. All Rights Reserved.DCoF34$LLRFfaReason:5. Substitution6. Algebra7.[? ]@1. Given9. Substitution10. ArithmeticVF4%5TGBF56YHF6N&7►llUJF7Select the reason that bestsupports Statement 7 in thegiven proof.A. Subtraction Property of EqualityB. Division Property of EqualityC. Addition Property of EqualityD. Multiplication Property of Equality8MF8K9HF9)0| ²F10

Answered: Image /qna-images/answer/58fcf3a3-1bc3-4e51-bf60-e91c46674255.jpg

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.1: Sets And Geometry

Problem 7E: Let A, B, and C lie on a straight line as shown near Exercise 8. Classify these claims as true or...

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