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AlekseyPX
3 years ago
11

PLEASE HELP ASAP!!!!!

Mathematics
2 answers:
svet-max [94.6K]3 years ago
6 0
The answer to your question is x=31
Kitty [74]3 years ago
5 0
The total would be 180 degrees because angles on a straight line would always add up to 180.
(3x+31)+(2x-6)=180
5x+25=180
     -25   -25
5x=155
/5     /5
x=31
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What is the explict rule for the sequence 12,22,32,42​
icang [17]

The explicit rule for given sequence is:

a_n=2+10n

Further explanation:

We have to determine first of all if the sequence is arithmetic or geometric.

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  • If the ratio of two consecutive terms is same then the sequence is geometric sequence

Given sequence is:

12,22,32,42​

a_1=12\\a_2=22\\a_3=32\\.......\\Let\\d=Common\ difference\\d=a_2-a_1=22-12=10\\d=a_3-a_2=32-22=10

The common difference is 10 which is same for all consecutive terms. So the sequence is an arithmetic sequence.

The general formula for arithmetic sequence is:

a_n=a_1+(n-1)d\\Here,\\a_n\ is\ the\ nth\ term\\a_1\ is\ the\ first\ term\\d\ is\ the\ common\ difference

Putting the values of a1 and d

a_n= 12+(n-1)(10)\\a_n=12+10n-10\\a_n=2+10n

The explicit rule for given sequence is:

a_n=2+10n

Keywords: Arithmetic sequence, Common Difference

Learn more about arithmetic sequence at:

  • brainly.com/question/1522572
  • brainly.com/question/2491745

#LearnwithBrainly

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Answer:

Step-by-step explanation:

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Given that X is N(28, 8)

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Z = \frac{x-28}{8}

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