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Amiraneli [1.4K]
2 years ago
9

An angle measures 14° more than the measure of its complementary angle. What is the measure of each angle?

Mathematics
1 answer:
Mars2501 [29]2 years ago
7 0

Answer:Complementary angles are two angles whose degree measurements add up to 90 degrees. The first angle would be (x + 14.4) and its complementary angle would be x. Therefore, you would set up this problem as: x + (x + 14.4) = 902x + 14.4 = 902x = 75.6 x = 37.8  (one angle)And (x + 14.4) = 52.2 (other angle). 

To check: 37.8 + 52.2 = 90

Step-by-step explanation:

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Annual starting salaries for college graduates with degrees in business administration are generally expected to be between $30,
Rashid [163]

Answer:

A. 384.16

B. 2,401

C. 9,604

D. No

Step-by-step explanation:

Calculation to determine how large a sample should be taken for each desired margin of error

First step is to find σ which represent Population Standard deviation

σ=($50,000-$30,000)/4

σ=$20,000/4

σ = 5,000

Now let calculate how large a sample should be taken for each desired margin of error

Using this formula

n = (Za/2*σ/E)^2

Where,

Za/2=1-0.95/2

Za/2=0.05/2

Za/2=0.025

Z-score 0.025=1.96

Za/2=1.96

σ =5,000

E represent Desired margin of error

Let plug in the formula

a. $500

n = (1.96* 5,000/$500)^2

n=(9,800/$500)^2

n=(19.6)^2

n = 384.16

b. $200

n = (1.96*5,000/200)^2

n=(9,800/$200)^2

n=(49)^2

n = 2,401

c. $100

n = (1.96*5,000/$100)^2

n=(9,800/$100)^2

n=(98)^2

n = 9,604

Therefore how large a sample should be taken for each desired margin of error will be :

A. $500= 384.16

B. $200= 2,401

C. $100= 9,604

d.NO, Based on the information calculation i would NOT recommend trying to obtain the $100 margin of error reason been that it is highly costly compare to $500 margin of error and $200 margin of error.

7 0
3 years ago
A customer deposits $1275 in a savings account that pays 4% interest compounded quarterly. How much money will the customer have
rusak2 [61]

$13777.00

Step-by-step explanation:

8 0
3 years ago
Which of the following is not a pair of congruent line segments?
Wittaler [7]

2nd answer is it i think

4 0
3 years ago
Read 2 more answers
What is the median of the following numbers: 120, 35, 42, 119, 120.5, 99, 72 ? *
Roman55 [17]

Answer:

the median is 99

Step-by-step explanation:

(lowest) 35, 42, 72, <u>99</u>, 119, 120, 120.5 (highest)

the median is the middle #

the middle # is 99

6 0
3 years ago
Find the value of x.<br> 7<br> D<br> 3<br> B В<br> х<br> С<br> X =
bekas [8.4K]

Answer:

x = \sqrt{30}

Step-by-step explanation:

Using the Altitude- on- Hypotenuse theorem

(leg of Δ ABC )² = (part of hypotenuse below it ) × ( whole hypotenuse )

x² = 3 × (3 + 7) = 3 × 10 = 30 ( take the square root of both sides )

x = \sqrt{30}

7 0
3 years ago
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