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Rus_ich [418]
3 years ago
12

I am a three digit number. the sum of my digits is 26. my last two digits are the same. what number am i

Mathematics
1 answer:
Alex777 [14]3 years ago
6 0
I think it is 989 or 899

*3 digit number*
*26 sum*
Last two digits are the same
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can someone help me understand this, please? For some reason my answer is correct but I need to understand how did I found the c
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Answer with step-by-step explanation:

The way the question is worded, this actually shouldn't be correct. The correct answer should be 3:4.

Because the trapezoids are similar, we can find the ratio of their perimeters by actually just finding the ratio of their sides.

Why?

By definition, the corresponding sides of a polygon are in a constant proportion. The perimeter is simply the sum of all sides of the polygon. Since we're just adding the sides, the proportion will still be maintained.

Therefore, we'll just need to ratio of their corresponding sides. The only two corresponding sides that are marked are \overline{RS} and \overline{AB}.

The ratio of \overline{RS}:\overline{AB} is 18:24\implies \boxed{3:4}.

The reason why it ideally should be 3:4 and not 4:3 is because the question states RTSU\sim ABCD, which mentions RSTU first, so our answer should follow this respective order. I believe you were marked right anyways because the specific order is not specified, but generally, you want to give your answer respectively by default.

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2 years ago
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Step-by-step explanation:

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