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Vlada [557]
2 years ago
10

Determine m∠U if m∠R = 9x - 10 and m∠U = 3x + 4.

Mathematics
1 answer:
german2 years ago
4 0

Answer:

50.5 degrees

Step-by-step explanation:

Since this is a parallelogram then...

Angle U + Angle R = 180

3x+4+9x-10=180

Combine like terms

12x-6=180

Add 6 to both sides

12x=186

Divide both sides by 12

x=15.5

Now we plug 15.5 in for x to find Angle U

3(15.5)4=46.5+4=50.5

Angle U = 50.5 degrees

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Matt's change of weight is 62 pounds

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The following back to back stemplot represents the amount a sample of students spent on their last haircut. Because there are si
krek1111 [17]

The 5 - number summary of the distribution obtained from the boxplot is :

  • Minimum = 20
  • Maximum = 85
  • Lower quartile = 35
  • Median = 44
  • Upper quartile = 58
  • Outlier = 100

Firstly, we need to extract the values for the amount spent by females :

20, 25, 25, 35, 37, 38, 39, 43, 45, 46, 50, 53, 60, 70, 85, 100

The five number summary include ;

  • Minimum, lower Quartile, Median, Upper Quartile and Maximum values.

Rearranging the data in ascending order :

20, 25, 25, 35, 37, 38, 39, 43, 45, 46, 50, 53, 60, 70, 85, 100

The boxplot clearly and easily gives the five number summary of the distribution :

  • Minimum = 20 (starting point of the whisker)
  • Lower quartile = 35 (starting point of the box)
  • Median = 44 (vertical line in between the box)
  • Upper quartile = 58 (endpoint of the box)
  • Maximum = 85 (endpoint of the upper whisker).

Outlier :

  • Lower boundary = LOWER QUARTILE - (1.5 × IQR)
  • Upper boundary = UPPER QUARTILE + (1.5 × IQR)
  • IQR = UPPER QUARTILE - LOWER QUARTILE
  • IQR = (58 - 35) = 23

Lower boundary = 35 - (1.5 × 23) = 0.5

Upper boundary = 58 + (1.5 × 23) = 92.5

  • The point denoted by a dot on the boxplot is an outlier = 100

Hence, values lesser than 0.5 or greater than 92.5 are outliers.

Therefore, 100 is an outlier.

Learn more : brainly.com/question/24582786

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2 years ago
PLZZ HELP ME!! MEDAL
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X = 90-22
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3 years ago
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Can you deposit 1750 into investment account that will produce 6.05% annual interest the money was left in the car for two years
PSYCHO15rus [73]

Step-by-step explanation:

Find out how much you get money from the annual interest:

100% = 1750

1% = 1750 ÷ 100 = 17.5

6.05% = 17.5 x 6.05 = 105.87

Find out how much you get from interest in 2 years.

105.87 x 2 = 211.74

(Final answer)

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2 years ago
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