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matrenka [14]
3 years ago
8

Find the missing angle.

Mathematics
1 answer:
Svetach [21]3 years ago
4 0

Answer:

90°

Step-by-step explanation:

40+50+x=180

x=90

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Answer:  The answer is 144.


Step-by-step explanation: Let 'a' be the first term and 'd' be the common difference of the given arithmetic progression (A.P.).

According to the given information, A.P. is {0, 4, 8, 12, 16, . . .}, i.e., a=0 and d=4.

The sum of first n terms is given by

S_n=\dfrac{n}{2}\{2a+(n-1)d\}.

So, the sum of first 9 terms is

S_9=\dfrac{9}{2}\{2\times 0+(9-1)\times4\}=\dfrac{9}{2}(8\times 4)=144.

Thus, the required sum is 144.


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