To determine which of the equations corresponds to the diagram, we need to analyze the given choices carefully. However, the diagram itself is not provided here, so I will explain the logic behind each equation to help you identify which one matches your diagram:
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28 = 3x + 13: This equation states that 28 is equal to the sum of 3 times some variable \( x \) plus 13. If you have a situation where something (represented as 28) is composed of 3 parts of \( x \) and an additional 13, this would be your equation.
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28 ÷ 13 = 3x: This equation indicates that dividing 28 by 13 gives you 3 times some variable \( x \). This would apply if you were considering proportions or ratios involving those numbers.
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13 + x = 28: This equation suggests that adding a variable \( x \) to 13 gives you 28. This would be appropriate if you're looking to find what must be added to 13 to reach a total of 28.
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28 + 3 = 13x: This states that adding 28 and 3 results in 13 times some variable \( x \). This would apply if your situation is based on an accumulation of values leading to a multiple of \( x \).
Without the diagram, I can't determine which equation is correct. If you can provide more context or describe the diagram, I would be able to point you to the right equation. If you see keywords or illustrations that suggest addition, a total, a ratio, or something being composed of different parts, those will guide you to the right choice.