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In-s [12.5K]
3 years ago
12

Recess began at 11:12am. It ended at 11:44am. How long was recess?

Mathematics
2 answers:
Soloha48 [4]3 years ago
8 0

Answer:

32 minutes

Step-by-step explanation:

44-12=32

kolezko [41]3 years ago
8 0

Answer:

32 minutes

Step-by-step explanation:

Both times were at 11 am and some minutes. The difference is only in the minutes.

44 - 12 = 32

Answer: Recess was 32 minutes long.

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The measures of ∠1, ∠2, and ∠3 are 40%, 12.5%, and 25% of the sum of the angle measures of the quadrilateral. Find the value of
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The value of x is 81

Step-by-step explanation:

The sum of the interior angles of any quadrilateral is 360°

  • The measure of ∠1 is 40% of the sum of the angle measures of the quadrilateral
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  • The measure of ∠3 is 25% of the sum of the angle measures of the quadrilateral
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∵ The figure have 4 sides

∴ The figure is a quadrilateral

∵ The sum of the measures of the interior angles of a

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- Add the four angles and equate the sum by 360

∴ m∠1 + m∠2 + m∠3 + x = 360

∵ m∠1 = 40% of the sum of the angle measures of the quadrilateral

∴ m∠1 = 40% × 360 = \frac{40}{100} × 360 = 144°

∵ m∠2 = 12.5% of the sum of the angle measures of the quadrilateral

∴ m∠2 = 12.5% × 360 = \frac{12.5}{100} × 360 = 45°

∵ m∠3 = 25% of the sum of the angle measures of the quadrilateral

∴ m∠3 = 25% × 360 = \frac{25}{100} × 360 = 90°

- Substitute these values in the equation above

∴ 144 + 45 + 90 + x = 360

- Add the like terms in the left hand side

∴ 279 + x = 360

- Subtract 279 from both sides

∴ x = 81°

The value of x is 81

Learn more:

You can learn more about the polygons in brainly.com/question/6281564

#LearnwithBrainly

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