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D, 261

Step-by-step explanation:

Divide all of the answer choices by 9. The answer is the one with the whole number. 261/9=29 29=whole number so D is the answer.

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261

Step-by-step explanation:

If the farmer used 9 boxes and each had the same number, we need to find the number that's divisible by 9.

There's a great fact - a number is divisible by 9 if its sum of digits is divisible by 9.

Let's use that fact on the answers first:

281 -> 2 + 8 + 1 -> 11 -> 1 + 1 -> 2; not divisible by 9

273 -> 2 + 7 + 3 -> 12 -> 1 + 2 -> 3; not divisible by 9

261 -> 2 + 6 + 1 -> 9; divisible by 9

To know why this method works, note that a number ABC is equal to:

100 * A + 10 * B + C = 99 * A + 9 * B + (A + B + C) = 9*(11*A + B) + (A + B + C)

And we know that 9*(11*A + B) is divisible by 9 because it's literally 9 times something. So A+B+C is equal to ABC minus something divisible by 9, and that proves what we needed.

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step-by-step explanation:

∠cbe and ∠deb are same-side interior angles.

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