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2 years ago

The measure of an angle is twenty-nine times the measure of its complementary angle. What is the measure of each angle?

Mathematics

1 answer:

musickatia [10]2 years ago

5 0

Answer:

The angle is 87 degrees and its complement is 3 degrees.

Step-by-step explanation:

you should do your work on your own, but heres the answer!

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PLEASE HELP ASAP WILL MARK BRAINLIEST

luda_lava [24]

Answer:

x=11

Step-by-step explanation:

7x-9-4(x-1)=28

7x-9-4x+4=28

3x-5=28

3x=33

x=11

4 0

3 years ago

Five students visiting the student health center for a free dental examination during National Dental Hygiene Month were asked h

kirza4 [7]

Answer:

95% confidence interval for the mean number of months is between a lower limit of 6.67 months and an upper limit of 25.73 months.

Step-by-step explanation:

Confidence interval is given as mean +/- margin of error (E)

Data: 5, 15, 12, 22, 27

mean = (5+15+12+22+27)/5 = 81/5 = 16.2 months

sd = sqrt[((5-16.2)^2 + (15-16.2)^2 + (12-16.2)^2 + (22-16.2)^2 + (27-16.2)^2) ÷ 5] = sqrt(58.96) = 7.68 months

n = 5

degree of freedom = n-1 = 5-1 = 4

confidence level (C) = 95% = 0.95

significance level = 1 - C = 1 - 0.95 = 0.05 = 5%

critical value (t) corresponding to 4 degrees of freedom and 5% significance level is 2.776

E = t×sd/√n = 2.776×7.68/√5 = 9.53 months

Lower limit of mean = mean - E = 16.2 - 9.53 = 6.67 months

Upper limit of mean = mean + E = 16.2 + 9.53 = 25.73 months

95% confidence interval is (6.67, 25.73)

3 0

2 years ago

Help please on this math problem: The prices of backpacks at a store are 22, 16, 39, 35, 19, 34, 20, and 26. Find the Mean Absol

Ivanshal [37]

Answer: 7.22
(note: this is a result after rounding. The result before rounding was 7.21875)

========================================================

Explanation:

Given Set of Values = {22, 16, 39, 35, 19, 34, 20, 26}

Add up the values: 22+16+39+35+19+34+20+26 = 211
Divide that sum by 8 as there are 8 values: 211/8 = 26.375

The mean is 26.375

Now subtract the mean from each data value. Apply the absolute value to ensure the difference is never negative

|22 - 26.375| = 4.375
|16 - 26.375| = 10.375
|39 - 26.375| = 12.625
|35 - 26.375| = 8.625
|19 - 26.375| = 7.375
|34 - 26.375| = 7.625
|20 - 26.375| = 6.375
|26 - 26.375| = 0.375

Add up those results
4.375+10.375+12.625+8.625+7.375+7.625+6.375+0.375 = 57.75
Then divide by 8
57.75/8 = 7.21875

The mean absolute deviation of the prices is 7.21875
Rounded to two decimal places, it is 7.22
Since we're talking about money, it makes sense to round to the nearest penny.

4 0

3 years ago

if the machine can process 600 pretzels 15 minutes how long must the machine run in order to make 3120

kati45 [8]

78

step by step explanation:

first: divide 600 and 15

answer to 600/15: 40

second: divide 3120 and 40

final answer: 78

5 0

3 years ago

Can someone do this for me please?! Just the answer pls

Lana71 [14]

<h2>For the number 1..</h2>

<h2>angle at center = 2×angle at circumference</h2><h2>the angle at center (o) is equal to 141</h2>

therefore:

<h2>141 = 2x</h2><h2>divide both sides by 2</h2><h2>x = 70.5</h2>

option (A).

( the number 2 and 3 questions aren't correct )

6 0

2 years ago