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Which property of equality is shown below?\newlineIf: 72=9v72 = -9v\newlineThen: 72+(39)=9v+(39)72 + (-39) = -9v + (-39)\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: 72=9v72 = -9v\newlineThen: 72+(39)=9v+(39)72 + (-39) = -9v + (-39)\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: 72=9v72 = -9v\newlineThen: 72+(39)=9v+(39)72 + (-39) = -9v + (-39)\newlineWe need to identify which operation is applied to both sides of the equation.
  2. Identify Operation Used: Identify the operation used.\newlineThe operation used is addition because we are adding (39)(-39) to both sides of the equation.
  3. Determine Property of Equality: Determine the property of equality.\newlineBy adding (39)(-39) to both sides, the equation remains balanced. This demonstrates the "Addition Property of Equality."

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