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bezimeni [28]
3 years ago
12

Please answer this in two minutes

Mathematics
1 answer:
erik [133]3 years ago
6 0

Answer:

Line DG is equal to 16

Step-by-step explanation:

We know that

In a parallelogram, opposite sides are congruent.

Line DG is congruent to line FE, so they must have sides of equal length.

4z-48=z

4z=z+48

3z=48

48/3=z

16=z

Now we know that the variable is 16 increments, so we sub the 16 in for z in line DG

4(16)-48

64-48=16

Line DG is equal to 16

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20 POINTS! + BRAINLIEST!
g100num [7]

Answer:

= x^4 -x^3 -4x^2 -3

Step-by-step explanation:

f(x) = x^4 -x^2 +9

g(x) = x^3 +3x^2 +12

We want to find f-g

(f-g) (x) = x^4 -x^2 +9 - (x^3 +3x^2 +12)

Distribute the minus sign

(f-g) (x) = x^4 -x^2 +9 - x^3 -3x^2 -12

            = x^4 -x^3 -4x^2 -3

3 0
3 years ago
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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
3 years ago
Solve using the elimination method. <br> show your work <br> 2x - y = 6 <br> x + y = 6
bekas [8.4K]

Answer:

x=4, y=2

Step-by-step explanation:

2x - y = 6  

x + y = 6

Add these together to eliminate y

2x - y = 6  

x + y = 6

-----------------

3x = 12

Divide by 3

3x/3 = 12/3

x=4

But we still need y

x+y =6

4+y =6

Subtract 4 from each side

4+y-4 = 6-4

y=2

7 0
3 years ago
Last year, Mr. Jones made $30,000. His boss just informed him that he will be receiving at least an 11.2% raise for this year. H
Lady bird [3.3K]

Answer:

$33 336

Step-by-step explanation:

Increase = 30 000 × 0.112

Increase = $3336

New salary = 30 000 + 3336

New salary = $33 336

7 0
3 years ago
Use the Pythagorean Theorem to find the distance of the missing side. (I’m sorry I need help with the whole thing)
Maurinko [17]

Answer:

1: 5.83

2: 4.12

3: 3.61

4: 5

5: 6.32

6: 5.10

Step-by-step explanation:

The Pythagorean theorem is a^2 + b^2 = c^2

For all of these you can count the number of blocks over to find two sides of the triangle.

For example: the first one has two sides, one is 3 units, the other is 5. To find the missing angle you square 3 and 5, then add that together. That is equal to 34. 34 = c^2. To get the c by itself, you then take the square root of 34. So the missing side (c) is equal to 5.83.

8 0
2 years ago
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