Select all of the equations below that are equivalent to: 20 = 14 + h Use properties of equality. Multi-select Choices: (A)9 = 14 + h − 10 (B)15 = 14 + h − 5 (C)16 = 14 + h − 3 (D)2 = 14 + h − 17

Question

Select all of the equations below that are equivalent to:  20 = 14 + h Use properties of equality.    Multi-select Choices: (A)9 = 14  +  h  −  10 (B)15 = 14  +  h  −  5 (C)16 = 14  +  h  −  3 (D)2 = 14  +  h  −  17

Bytelearn · Accepted Answer

Original Equation: To determine which equations are equivalent to 20 = 14 + h, we need to manipulate the original equation using properties of equality to match the given choices. Let's start with the original equation: 20 = 14 + h.Isolate h: Subtract 14 from both sides of the equation to isolate h: 20 - 14 = 14 + h - 14. This simplifies to: 6 = h.Check Choice (A): Now let's check each choice to see if it simplifies to 6 = h when we isolate h.  For choice (A): 9 = 14 + h - 10. Add 10 to both sides: 9 + 10 = 14 + h. This simplifies to: 19 = 14 + h, which is not equivalent to 6 = h.Check Choice (B): For choice (B): 15 = 14 + h - 5. Add 5 to both sides: 15 + 5 = 14 + h. This simplifies to: 20 = 14 + h, which is equivalent to the original equation.Check Choice (C): For choice (C): 16 = 14 + h - 3. Add 3 to both sides: 16 + 3 = 14 + h. This simplifies to: 19 = 14 + h, which is not equivalent to 6 = h.Check Choice (D): For choice (D): 2 = 14 + h - 17. Add 17 to both sides: 2 + 17 = 14 + h. This simplifies to: 19 = 14 + h, which is not equivalent to 6 = h.

Select all of the equations below that are equivalent to: $\newline$ $20 = 14 + h$ $\newline$ Use properties of equality. $\newline$ $\newline$ Multi-select Choices: $\newline$ (A) $9 = 14 + h - 10$ $\newline$ (B) $15 = 14 + h - 5$ $\newline$ (C) $16 = 14 + h - 3$ $\newline$ (D) $2 = 14 + h - 17$

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