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Select all of the equations below that are equivalent to:\newlinewx=30wx = -30\newlineUse properties of equality.\newlineMulti-select Choices:\newline(A) wx2=64wx \cdot -2 = 64\newline(B) wx3=90wx \cdot -3 = 90\newline(C) 3wx=903wx = -90\newline(D) wx2=60wx \cdot -2 = 60

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Q. Select all of the equations below that are equivalent to:\newlinewx=30wx = -30\newlineUse properties of equality.\newlineMulti-select Choices:\newline(A) wx2=64wx \cdot -2 = 64\newline(B) wx3=90wx \cdot -3 = 90\newline(C) 3wx=903wx = -90\newline(D) wx2=60wx \cdot -2 = 60
  1. Identify Equation: Identify the original equation and understand the task.\newlineThe original equation is wx=30wx = -30. We need to find which of the given choices are equivalent to this equation by using properties of equality.
  2. Check Choice (A): Analyze choice (A) wx2=64wx \cdot -2 = 64. To check if this is equivalent to wx=30wx = -30, we can divide both sides of the equation in choice (A) by 2-2 to see if we get wx=30wx = -30. (wx2)/2=64/2(wx \cdot -2) / -2 = 64 / -2 wx=32wx = -32 This is not equivalent to wx=30wx = -30.
  3. Check Choice (B): Analyze choice (B) wx3=90wx \cdot -3 = 90. To check if this is equivalent to wx=30wx = -30, we can divide both sides of the equation in choice (B) by 3-3 to see if we get wx=30wx = -30. (wx3)/3=90/3(wx \cdot -3) / -3 = 90 / -3 wx=30wx = -30 This is equivalent to wx=30wx = -30.
  4. Check Choice (C): Analyze choice (C) 3wx=903wx = -90. To check if this is equivalent to wx=30wx = -30, we can divide both sides of the equation in choice (C) by 33 to see if we get wx=30wx = -30. (3wx)/3=90/3(3wx) / 3 = -90 / 3 wx=30wx = -30 This is equivalent to wx=30wx = -30.
  5. Check Choice (D): Analyze choice (D) wx2=60wx \cdot -2 = 60. To check if this is equivalent to wx=30wx = -30, we can divide both sides of the equation in choice (D) by 2-2 to see if we get wx=30wx = -30. (wx2)/2=60/2(wx \cdot -2) / -2 = 60 / -2 wx=30wx = -30 This is equivalent to wx=30wx = -30.

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