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Mariulka [41]
2 years ago
7

How do I do this? Please help

Mathematics
2 answers:
riadik2000 [5.3K]2 years ago
6 0

<u>Answer </u><u>:</u>

In the given quadrilateral ABCD ,

  • Angle BCA = 18°
  • Angle ACD = 62°

Angle BCA = Angle CAD ( alternate interior angle )

Now in triangle CAD ,

We have two angles so by using angle sum property we can find the required third one ,

  • Angle CAD + Angle ACD + Angle ADC = 180°
  • 18 + 62 + Angle ADC = 180
  • 80 + Angle ADC = 180
  • Angle ADC = 180 - 80
  • Angle ADC = 100

nordsb [41]2 years ago
6 0

Answer:

∠ ADC = 100°

Step-by-step explanation:

∠ CAD = ∠ BCA = 18° ( alternate angles )

The sum of the 3 angles in a triangle = 180° , then

∠ ADC = 180° - (62 + 18)° = 180° - 80° = 100°

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2) Median

The formula used to calculate median is: Median=\frac{n+1}{2}\:th\: term because we have n = odd

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The mode is the most repetitive value of data set.

In the given data set: 3, 3, 4, 4, 4, 5, 5, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 8, 9, 9

The most repetitive value is 8

So, Mode = 8

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The range can be calculated using formula: Range=Maximum\:Value-Minimum\:Value

In the given data set: 3, 3, 4, 4, 4, 5, 5, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 8, 9, 9

Maximum value = 9

Minimum value = 3

So, the range is:

Range=Maximum\:Value-Minimum\:Value\\Range=9-3\\Range =6

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