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
Related questions
Question
Number 4 and 6
![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?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa2561fba-4b1c-4802-8330-e8fbaeffca80%2F5ff64805-0d18-47fb-9737-aaa0887e875e%2Fczovx3a_processed.jpeg&w=3840&q=75)
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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