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Nadya [2.5K]
2 years ago
8

Someone please help!

Mathematics
1 answer:
erastova [34]2 years ago
8 0

Answer:

  • k = 6.26

Step-by-step explanation:

Find the midpoint of each frequency range, multiply that number by the frequency, sum up and divide by the total frequency.

This will give the mean number.

<u>The mean is:</u>

  • [17*( 3 + 3.5)/2 + 21*(3.5 + k)/2 + 33*(k + 4)/2 + 54*(4 + 4.5)/2 + 15*(4.5 + 6)/2]/140 = 4.09
  • 55.25 + 10.5k + 36.75 + 16.5k + 66 + 229.5 + 78.75 = 140*4.09
  • 17k + 466.25 = 572.6
  • 17k = 572.6 - 466.25
  • 17k = 106.35
  • k = 106.35/17
  • k = 6.26

Note, I expected the value of k between 3.5 and 4. This is a bit of illogical outcome.

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Answer:

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Step-by-step explanation:

a.) 1-8

Alt. Exterior angles: Angles that are on the opposite sides of the transversal ( ex. 9∠16 and 13∠12)

Alt. Interior angles: Angles that are in the area between the parallel lines ( ex. 14 ∠11 and 10∠15)

Vertical angles: A pair of opposite angles formed by intersecting lines. ( ex. 12∠15 and 9∠14)

Corresponding angles: Angles that are in the same position relative to lines intersected by a transversal (ex. 9∠11 and 14∠16)

Supplementary angles: 2 angles that sum up to 180° ( ex. 9∠10, 11∠15, and 13∠14)

b.) 9

M∠2 is 97° and M∠3 are vertical angles so they both will have the same degrees (97°)

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you would subtract 97 to 180 (180-97 = 83) so M∠9 is 83°

c.) 10-12

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