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Which property of equality is shown below?\newlineIf: u+v=90u + v = 90\newlineThen: 53+u+v=53+9053 + u + v = 53 + 90\newlineChoices:\newline(A) Addition Property of Equality\newline(B) Subtraction Property of Equality\newline(C) Multiplication Property of Equality\newline(D) Division Property of Equality

Full solution

Q. Which property of equality is shown below?\newlineIf: u+v=90u + v = 90\newlineThen: 53+u+v=53+9053 + u + v = 53 + 90\newlineChoices:\newline(A) Addition Property of Equality\newline(B) Subtraction Property of Equality\newline(C) Multiplication Property of Equality\newline(D) Division Property of Equality
  1. Analyze Given Statements: Analyze the given statements.\newlineIf: u+v=90u + v = 90\newlineThen: 53+u+v=53+9053 + u + v = 53 + 90\newlineWe need to identify which operation is applied to both sides of the original equation.
  2. Identify Operation Used: Identify the operation used.\newlineThe number 5353 is added to both sides of the equation u+v=90u + v = 90.\newlineu+v=90u + v = 90 becomes 53+u+v=53+9053 + u + v = 53 + 90 after adding 5353 to both sides.
  3. Determine Property of Equality Used: Determine the property of equality used.\newlineSince we are adding the same number 5353 to both sides of the equation, the property of equality being used is the Addition Property of Equality.

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