Question
What is the value of x? Identify the missing justifications.
measure of angle P Q R equals x plus 7, measure of angle S Q R equals x plus 3, and measure of angle P Q R plus measure of angle S Q R equals measure of angle P Q S equals 100
Three rays originate from a common point Q at the lower left. Ray Q S extends to the right. Ray Q R extends up and to the right. Ray Q P extends up and slightly left.
measure of angle P Q R plus measure of angle S Q R equals measure of angle P Q S a. ______
x + 7 + x + 3 = 100 b. Substitution Property
2x + 10 = 100 c. Simplify
2x = 90 d. ______
x = 45 e. Division Property of Equality
(1 point)
Responses
Angle Addition Postulate; Addition Property of Equality
Angle Addition Postulate; Addition Property of Equality
Angle Addition Postulate; Subtraction Property of Equality
Angle Addition Postulate; Subtraction Property of Equality
Protractor Postulate; Addition Property of Equality
Protractor Postulate; Addition Property of Equality
Protractor Postulate; Subtraction Property of Equality
measure of angle P Q R equals x plus 7, measure of angle S Q R equals x plus 3, and measure of angle P Q R plus measure of angle S Q R equals measure of angle P Q S equals 100
Three rays originate from a common point Q at the lower left. Ray Q S extends to the right. Ray Q R extends up and to the right. Ray Q P extends up and slightly left.
measure of angle P Q R plus measure of angle S Q R equals measure of angle P Q S a. ______
x + 7 + x + 3 = 100 b. Substitution Property
2x + 10 = 100 c. Simplify
2x = 90 d. ______
x = 45 e. Division Property of Equality
(1 point)
Responses
Angle Addition Postulate; Addition Property of Equality
Angle Addition Postulate; Addition Property of Equality
Angle Addition Postulate; Subtraction Property of Equality
Angle Addition Postulate; Subtraction Property of Equality
Protractor Postulate; Addition Property of Equality
Protractor Postulate; Addition Property of Equality
Protractor Postulate; Subtraction Property of Equality
Answers
GPT 3.5
Angle Addition Postulate; Subtraction Property of Equality
Name the Property of Equality that justifies this statement:
If p = q then p + s = q + s.
(1 point)
Responses
Reflexive Property
Reflexive Property
Multiplication Property
Multiplication Property
Symmetric Property
Symmetric Property
Addition Property
If p = q then p + s = q + s.
(1 point)
Responses
Reflexive Property
Reflexive Property
Multiplication Property
Multiplication Property
Symmetric Property
Symmetric Property
Addition Property
GPT 3.5
Addition Property
Use the given property to complete the statement.
Multiplication Property of Equality
If 6x ÷ 8 = 40, then ______ .
(1 point)
Responses
6x · 8 = 320
6 x · 8 = 320
40 = 6x · 8
40 = 6 x · 8
6x = 320
6 x = 320
40 = 6x ÷ 8
Multiplication Property of Equality
If 6x ÷ 8 = 40, then ______ .
(1 point)
Responses
6x · 8 = 320
6 x · 8 = 320
40 = 6x · 8
40 = 6 x · 8
6x = 320
6 x = 320
40 = 6x ÷ 8
GPT 3.5
6x · 8 = 320
Name the Property of Congruence that justifies the statement:
If modifying above upper X upper Y with bar approximately equal to symbol modifying above upper W upper X with bar then modifying above upper W upper X with bar approximately equal to symbolmodifying above upper X upper Y with bar.
(1 point)
Responses
Symmetric Property
Symmetric Property
Transitive Property
Transitive Property
Reflexive Property
Reflexive Property
none of the above
If modifying above upper X upper Y with bar approximately equal to symbol modifying above upper W upper X with bar then modifying above upper W upper X with bar approximately equal to symbolmodifying above upper X upper Y with bar.
(1 point)
Responses
Symmetric Property
Symmetric Property
Transitive Property
Transitive Property
Reflexive Property
Reflexive Property
none of the above