This sequence is geometric, with a common ratio of -5. This ratio can be found be dividing any of the terms by the previous term (ex. 125 / -25 = -5).
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Irrational, because it is a repeating decimal.
Answer:
A. The "9" in the second number represents 10 times as much as the "9" in the first number.
Step-by-step explanation:
If you look at the "9" in the first number as 90 and multiply that by 10, you will get 900. In the second number, the "9" is in the 100's place.
The longest side in the triangle is opposite to the largest angle of this triangle. If triangle is acute, then all angles are acute. Acute angle has cosine that is positive.
Use cosine theorem to determine the cosine of the largest angle:
where
is the largest angle.
Then

Since
then

Divide this inequality by 5:

Note that
then the smallest possible whole-number value of x is 7.
Answer: correct choice is B