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Lena [83]
3 years ago
6

If n denotes a number to the left of 0 on the number line such that the square of n is less than 1/100, then the reciprocal of n

must be _______.
A. less than -10B. between -1 and -1/10C. between -1/10 and 0D. between 0 and -1/10E. greater than 10
Mathematics
1 answer:
andriy [413]3 years ago
6 0

Answer: E. Greater than 10

Step-by-step explanation:

First, know that number to the left of a number line are negative and the square of any negative number will be positive and a perfect square.

Since the square of the unknown number is less than 1/100 i.e 0.01 then the possible unknown number 'n' can be -0.01 itself, of which the square of -0.01 will give us 0.0001 (1/10,000) i.e a value less than 0.01.

The reciprocal of 1/10000 is 10,000 which is a value greater than 10.

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3 0
3 years ago
Line I is parallel to line m. If the measure of &lt;6 is 75, what is the measure of &lt;3​
Nady [450]

Answer:

m∠3 = 105°

Step-by-step explanation:

Line 'l' is parallel to line 'm' and a transversal is intersecting these parallel lines at two distinct points.

m∠3 + m∠6 = 180° [Consecutive interior angles]

Since, ∠6 = 75° [Given]

m∠3 + 75° = 180°

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Therefore, measure of ∠3 is 105°.

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Answer:

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-8x^2+26x-21

7 0
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