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Mrrafil [7]
2 years ago
14

you have to test tomorrow you plan to study at least 4 hours tonight you want to study social studies for more than half the tim

e you study english plus 1 hour. write a sstem of linear inequalities that represent this situation
Mathematics
2 answers:
creativ13 [48]2 years ago
7 0

4, is less than or equal to, 2x + 1 is greater than x

notka56 [123]2 years ago
3 0

Answer:

s+g ≥ 4

s > g/2 + 1

Step-by-step explanation:

Hi, you want to study at least 4 hours.

So, the social studies hours of study (5) plus the English hours of study (e) must be higher or equal to 4 (hours)

s+e≥ 4

The time spent studying social studies(s) must be higher than half the time spent studying English (e/2) plus 1 hour.

s > e/2 + 1

So, the system of inequalities is:

s+e ≥ 4

s > e/2 + 1

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Answer:

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2 years ago
Determine the complement and/or supplement of each angle. If it is not possible, explain.
Alecsey [184]

Answer:

  • complement: 32.8°
  • supplement: 122.8°

Step-by-step explanation:

The sum of an angle A and its complement C is 90°:

  A + C = 90°

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That is, the complement of an angle is found by subtracting the angle from 90°.

__

The sum of an angle and its supplement is 180°. This means the supplement of an angle is found by subtracting the angle from 180°. You may notice the supplement is 90° more than the complement.

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  S = 180° -A = 90° +(90° -A)

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For the given angle, the complement is ...

  C = 90° -57.2° = 32.8°

And the supplement is ...

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_____

<em>Additional comment</em>

We generally like angle measures to be positive (as with all measures in geometry). Hence, we might say that the complement of an angle greater than 90° does not exist. YMMV

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