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lana [24]
3 years ago
9

Hello I need help with concavity of graphs. I have included a picture of the 4 problems I would love to be checked to see if the

y are correct. My main questions are: what do you do when there's more than 2 concave up/down? And how do you write it if one of the points is open such as in letter A

Mathematics
1 answer:
Otrada [13]3 years ago
3 0

You would use the union symbol which is a U to glue the intervals together.

For instance, with problem 1 having two concave down intervals. You would write (-8,-4) U (0,4). Note that I'm using parenthesis only and no square brackets at all. The endpoints aren't included as they are open holes. We also don't include any point of inflection (POI). Your other answers are correct. Nice work.

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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°

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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

    quadrilateral is 360°

- 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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3 years ago
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