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3 years ago

The angle measurements in the diagram are represented by the following expressions

Mathematics

1 answer:

krok68 [10]3 years ago

7 0

Answer:

/A = 30°

/B = 150°

Step-by-step explanation:

Given that the lines are parellel.

Then /A+/B = 180° ( Consecutive interior angles)

Putting given values of angles

6x-18+ 14x+38 = 180

20x + 20 =180

20x = 160

x = 8

/A = 6x-18 = 6×8-18 = 30°

/B = 14x+38 = 14 × 8 +38 = 150°

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3 years ago

Read 2 more answers

Helps me! find the area please. ＼（〇_ｏ）／

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We must remember the equation to find the area of a trapezoid first.
Area = $\frac{A+B}{2} *H$
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Now Solve!
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SOLVING...

Area = $\frac{6 + 12}{2} * 6$
Area = $\frac{18}{2} * 6$
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3 years ago

3. There are 350 people in an office building. A local deli randomly surveyed people in the building to determine the average am

IrinaK [193]

Answer:

(a)Sample 1

The Mean = 20

The median = 25

Sample 2

The Mean = 31

The median = 60

(b) Sample 1 has the least spread

Sample 1 has the least deviations from the mean

The least representative of the population is sample 1

Step-by-step explanation:

The mean is ∑fx/∑f

∑fx = 30 + 25 + 10 + 25 + 10 = 100

∑f = 5

Mean = 100/5 = 20

For the median, we arrange the data in increasing order;

10, 10, 25, 25, 30

The median = the middle number = 25

Sample 2

The mean is ∑fx/∑f

∑fx = 5 + 60 + 10 + 30 + 50 = 155

∑f = 5

Mean = 155/5 = 31

For the median, we arrange the data in increasing order;

5, 10, 30, 50, 60

The median = the middle number = 30

(b) Sample 1 range =$30 -$10 = $20

Sample 2 range =$65 -$5 = $60

Sample 1 has the least spread

Sample 1 standard deviation = 9.354

Sample 2 standard deviation =24.083

Sample 1 has the least deviations from the mean

Mean = 24

$20, $20, $25, $25, $30

Median = $25

∑fx = 120

Therefore sample 1 align with the third sample

The least representative of the population is sample 1 with ∑fx = 100.

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