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2 years ago

The measure of the angle's supplement is 60

Mathematics

1 answer:

Sever21 [200]2 years ago

4 0

Answer:

80°

Step-by-step explanation:

Let the angle be x then four times it's complement plus 60, that is

4(90 - x) + 60 ← is it's supplement

Supplementary angles sum to 180°

Sum the angle and it's supplement and equate to 180

x + 4(90 - x) + 60 = 180 ← distribute and simplify left side

x + 360 - 4x + 60 = 180

- 3x + 420 = 180 ( subtract 420 from both sides )

- 3x = - 240 ( divide both sides by - 3 )

x = 80

The required angle = x = 80°

supplement = 4(90 - 80) + 60 = 4 × 10 + 60 = 40 + 60 = 100°

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Find the next two terms. 81, 27, 9, ?, ?

Nataly_w [17]

Answer:

3 and 1

Step-by-step explanation:

Similarly each term is 1/3 of the previous term. This is a geometric sequence.

9/3 = 3

3/3 =1

3 0

2 years ago

A random sample of 70 printers discovered that 25 of them were being used in small businesses. find the 95% limit for the popula

kvasek [131]

Answer:

The sample proportion of printers used in small business is:

$\hat{p}=\frac{25}{70}=0.3571$

The 95% confidence interval for the population proportion of printers that are used in small businesses is:

$\hat{p} \pm z_{\frac{0.05}{2}} \sqrt{\frac{\hat{p}(1-\hat{p})}{n} }$

Where:

$z_{\frac{0.05}{2}}=1.96$ is the critical value at 0.05 significance level

$\therefore 0.3571 \pm 1.96 \sqrt{\frac{0.3571(1-0.3571)}{70} }$

$0.3571 \pm 0.1122$

$\left ( 0.3571 - 0.1122, 0.3571 + 0.1122 \right)$

$\left(0.245,0.469 \right)$

Therefore, the 95% confidence interval for the population proportion of printers that are used in small businesses is (0.245 , 0.469)

7 0

3 years ago

So if 2 people were working a job that paid 7.50 an hour, and worked 42 hours a week, how much money would they make together in

viva [34]

They would make 32,760 together in a year. One person would make 7.50 a hour times 42 hours, which would be 315 a week. You would times that by 52 weeks in a year and get 16,380 for one person per year. Multiply 16,380 by two people and you would find that they make 33,760 a year.

7 0

3 years ago

V = u + at<br><br> u = 2 a = -5 t = 1/2

denpristay [2]

Answer:

v = -0.5

Step-by-step explanation:

v = 2 + (-5 * 1/2)

v = 2 + (-2.5)

v = -0.5

6 0

3 years ago