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

Answers

Answer
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
Answer
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
Answer
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
Answered by GPT 3.5
Angle Addition Postulate; Subtraction Property of Equality
Answered by GPT 3.5
Addition Property
Answered by GPT 3.5
6x · 8 = 320

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