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Which property of equality is shown below?\newlineIf: 54+35=t-54 + 35 = t\newlineThen: 54+3530=t30-54 + \frac{35}{30} = \frac{t}{30}\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

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Q. Which property of equality is shown below?\newlineIf: 54+35=t-54 + 35 = t\newlineThen: 54+3530=t30-54 + \frac{35}{30} = \frac{t}{30}\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 Equations: Analyze the given equations to identify the operation performed.\newlineThe original equation is: 54+35=t-54 + 35 = t\newlineThe transformed equation is: 54+3530=t30-54 + \frac{35}{30} = \frac{t}{30}\newlineWe need to determine what operation was applied to both sides of the original equation to obtain the transformed equation.
  2. Identify Operation: Identify the operation that was applied to both sides of the equation.\newlineBy comparing the original and transformed equations, we can see that both sides of the original equation have been divided by 3030.\newline54+35=t-54 + 35 = t becomes 54+3530=t30-54 + \frac{35}{30} = \frac{t}{30} after division by 3030.
  3. Property of Equality: Determine which property of equality corresponds to the operation identified in Step 22.\newlineSince we divided both sides of the equation by the same number 3030, the property of equality used here is the "Division Property of Equality."

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