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solong [7]
3 years ago
12

The sum of two consecutive odd integers is 284. Write an equation and solve to find the two integers.

Mathematics
1 answer:
Flauer [41]3 years ago
3 0
We need to understand how to set up the equation to solve this. If they are consecutive odd integers, that means they're two odd numbers that are next to each other, like 3 and 5 or 27 and 29. There's always a two-integer difference between the two numbers since they're both odd, so we'll use that to set up our equation. Let's make the smaller integer x. That will make the larger integer x+2, since there is a difference between them of 2. That means our equation is x+x+2=284 or 2x+2=284. When we subtract 2 from each side and then divide by two, we'll get x=141, the first integer. That means the two integers are 141 and 143.
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Answer:

Diameter = 9

Step-by-step explanation:

Let the diameter be represented as x.

Based on the secant-tangent theorem, the following equation representing the relationship between the segments would be:

(16 + x)(16) = 20²

256 + 16x = 400

Subtract 256 from each side

16x = 400 - 256

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3 years ago
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Answers:

first term = 37

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Explanation:

Start at 37. Add 9 to this term to get the second term. Add 9 to that result to get the next term, and so on.

first term = 37

second term = 37+9 = 46

third term = 46+9 = 55

fourth term = 55+9 = 64

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The nth term formula is

a(n) = 9n+28

It can be found by plugging a = 37 and d = 9 into the general form

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