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4. a. Solve 7x + 17 = 31. b. What properties did you use in finding vour

4. a. Solve 7x + 17 = 31. b. What properties did you use in finding vour

Elementary Geometry For College Students, 7e
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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Lesson 3-4 4. a. Solve 7x + 17 = 31. b. What properties did you use in finding your solution? 5. a. Solve 7x + 17 < 31. b. What properties did you use in finding your solution? 6. Given m2APB = m2CPD in the figure at the right. What can you conclude using the Addition Property of Equality and the Angle Addition Postulate? P. 7. Suppose mZT>mZQ. What can you conclude about -4mZT and -4mZQ? 8. In the figure at the right, DE + EF == DF. What can you conclude using the Equation to Inequality Property? 9. Suppose an angle has measure 90 – x, and x = 23. a. What does the Substitution Property allow you to conclude? b. What is the measure of the angle? APPLYING THE MATHEMATICS 10. Multiple Choice According to the Distributive Property, if A, B, and C are points, then 2(AB + BC) = _? . А 2АB + 2ВС В 4B(А + C) С 2АB + ВC D 4AB + 4BС In 11-13, a situation is given. What postulate mentioned in this lesson explains why the situation is true? 11. Mrs. Vasquez earns more at her job than her husband earns at his job. If they receive raises of the same amount, then Mrs. Vasquez will still earn more. 12. It's the same distance from my house to school as it is from your house to school. And it is of course the same distance from school to my house as it is from my house to school. So it is the same distance from school to my house as it is from your house to school. 13. The grocery bill for eight steaks and two slabs of ribs came to $65.89, so the eight steaks must have cost less than $65.89. 14. Steps in solving the equation 1024 – 51x = 89 are shown below. What postulate was used to obtain each equation? b. 935 = 51x a. 1024 = 89 + 51x 935 x= 51 d. 935 С. 51 Dultinle Choice Suppose that in a triangle ACE, AC = CE. Lifion CE =AC?
Transcribed Image Text:Lesson 3-4 4. a. Solve 7x + 17 = 31. b. What properties did you use in finding your solution? 5. a. Solve 7x + 17 < 31. b. What properties did you use in finding your solution? 6. Given m2APB = m2CPD in the figure at the right. What can you conclude using the Addition Property of Equality and the Angle Addition Postulate? P. 7. Suppose mZT>mZQ. What can you conclude about -4mZT and -4mZQ? 8. In the figure at the right, DE + EF == DF. What can you conclude using the Equation to Inequality Property? 9. Suppose an angle has measure 90 – x, and x = 23. a. What does the Substitution Property allow you to conclude? b. What is the measure of the angle? APPLYING THE MATHEMATICS 10. Multiple Choice According to the Distributive Property, if A, B, and C are points, then 2(AB + BC) = _? . А 2АB + 2ВС В 4B(А + C) С 2АB + ВC D 4AB + 4BС In 11-13, a situation is given. What postulate mentioned in this lesson explains why the situation is true? 11. Mrs. Vasquez earns more at her job than her husband earns at his job. If they receive raises of the same amount, then Mrs. Vasquez will still earn more. 12. It's the same distance from my house to school as it is from your house to school. And it is of course the same distance from school to my house as it is from my house to school. So it is the same distance from school to my house as it is from your house to school. 13. The grocery bill for eight steaks and two slabs of ribs came to $65.89, so the eight steaks must have cost less than $65.89. 14. Steps in solving the equation 1024 – 51x = 89 are shown below. What postulate was used to obtain each equation? b. 935 = 51x a. 1024 = 89 + 51x 935 x= 51 d. 935 С. 51 Dultinle Choice Suppose that in a triangle ACE, AC = CE. Lifion CE =AC?
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