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dusya [7]
2 years ago
15

Is 2.67034165508… rational or unrational?

Mathematics
2 answers:
notka56 [123]2 years ago
6 0
Answer- Rational because is a repeating decimal
zvonat [6]2 years ago
3 0

Answer:

Unrational

Step-by-step explanation:

<u>Step 1:  Determine what is rational and unrational</u>

"<em>A rational number includes any whole number, fraction, or decimal that ends or repeats. An irrational number is any number that cannot be turned into a fraction, so any number that does not fit the definition of a rational number.</em>"

<u>Step 2:  Now determine what our number fits into</u>

Since our decimal isn't a whole number, isn't a fraction, and it is a decimal that continues to either repeat or just continues.  Therefore, our number would fit into the unrational category.  If our number is just 2.67034165508 then it would be a rational number since it ends.  However, since we have the ... at the end that means that it continues and therefore falls into the unrational category.

Answer: Unrational

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Convert 14° into radians manually (no calculator) please show work. Thank you in advance!!
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Answer:

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Step-by-step explanation:

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Lines l and m are parallel. If m∠3 = 3x + 11 degrees and m∠2 = 4x + 1 degrees, what is the measure of ∠7? 41 degrees 139 degrees
kipiarov [429]

Answer:

m<7 = 139°

Step-by-step explanation:

Given:

m<3 = (3x + 11)°

m<2 = (4x + 1)°

Required:

m<7 = ?

SOLUTION:

Given that l and m are parallel lines, m<3 and m<2 are alternate interior angles.

Alternate interior angles are congruent. Therefore:

m<3 = m<2

3x + 11 = 4x + 1 (substitution)

Solve for x

3x + 11 - 4x = 4x + 1 - 4x

-x + 11 = 1

-x + 11 - 11 = 1 - 11

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Divide both sides by -1

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Find m<2:

m<2 = (4x + 1)

Plug in the value of x

m<2 = 4(10) + 1 = 40 + 1

m<2 = 41°

Find m<7:

m<2 + m<7 = 180° (consecutive interior angles are supplementary)

41° + m<7 = 180° (substitution)

m<7 = 180 - 41 (subtracting 41 from each side)

m<7 = 139°

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3 years ago
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