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xxMikexx [17]
3 years ago
7

I am down help please

Mathematics
1 answer:
trapecia [35]3 years ago
4 0

Answer:

180 degrees

Step-by-step explanation:

angle 1 = 90 degrees

angle 4 = angle 1 because they are vertical angles

360 - 90 - 90 = 180 degrees

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Find the sum of the counting numbers from 1 to 25 inclusive. In other words, if S = 1 + 2 + 3 + ... + 24 + 25, find the value of
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Answer:

325

Step-by-step explanation:

You must have heard about Arithmetic Progressions (AP)

Arithmetic progressions are a series of numbers such that every successive number is the sum of a constant number and the previous number.

Our very own counting numbers form AP

For example :-

2 = 1 + <u>1</u>

3 = 2 + <u>1</u>

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To find the sum of series forming AP, we use the formula :-

sum =  \frac{n}{2} \{ a  + a  _{n}  \}

here,

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  • an is the last number of the series

So we'll use all this information to find the sum of continuous numbers from 1 to 25 where 1 is the first term(a) and 25 is the last(an).

and n is 25

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=  \frac{25 \times 26}{2}

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So, the value of S comes out to be 325.

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