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Which property of equality is shown below?\newlineIf: m=90(85)m = 90 - (-85)\newlineThen: m+n=90(85)+nm + n = 90 - (-85) + n\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: m=90(85)m = 90 - (-85)\newlineThen: m+n=90(85)+nm + n = 90 - (-85) + n\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: m=90(85)m = 90 - (-85)\newlineThen: m+n=90(85)+nm + n = 90 - (-85) + n\newlineIdentify the operation performed on both sides of the equation.
  2. Identify Operation: Determine the property of equality used.\newlineThe operation of adding nn to both sides of the equation is observed.\newlinem=90(85)m = 90 - (-85)\newlinem+n=90(85)+nm + n = 90 - (-85) + n\newlineThis operation demonstrates the "Addition Property of Equality" because the same value nn is added to both sides of the equation, maintaining the balance of the equation.

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