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

6 answers

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
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
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