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evablogger [386]
2 years ago
9

Find the measures of 21 and 22 80° 2102°

Mathematics
1 answer:
cestrela7 [59]2 years ago
4 0

Answer:

Angle 1 is 22°

Angle 2 is 78°

Step-by-step explanation:

Angles on a straight line always add up to 180°.

To find Angle 2, you would have to do 180° take away 102°.

180-102=78°

Angles in a triangle also add up to 180°.

So to find Angle 1, you would have to add the two Angles you already have and take it away from 180°.

80+78=158°

180-158=22°

Hope this helps :)

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Answer: 39 degrees

Step-by-step explanation:

Since the triangle is a right angle

The sum of angles in a right angle is 90degrees

51degrees + A= 90 degrees

A= 90degrees - 51 degrees

A=39 degrees

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What is the mean absolute deviation of the data set {30,33,36,34,52}?
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galina1969 [7]

Answer:

The answer would be D) $180,000 in bank A, $240,000 in bank B, $240,000 in bank C.

Step-by-step explanation:

You can immediately eliminate A, B and C because the question clearly states that the limit per bank is $250,000.

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Talia works 6 hours per day on Fridays and Saturdays each week. She earns $8.20 per hour
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<u>Question 1 </u>

Talia works 6 hours on Friday and 6 hours on Saturday. Total Work = 6+6 = 12 hours.

Hourly Rate = 8.20 dollars per hour.

Gross Pay = (Total Work) x (Hourly Rate) = 12 x 8.20 = 98.40 dollars.

Hence, option D is correct i.e. 98.40 dollars.

<u>Question 2 </u>

Mikey worked 8 hours on Wednesday, 6 hours on Thursday and 7 hours on Friday.

Total Work = 8+6+7 = 21 hours.

Gross Pay = 187.95 dollars.

Hourly Rate = (Gross pay)/(Total work) = (187.95)/21 = 8.95 dollars per hour.

Hence, option A is correct i.e. 8.95 dollars per hour.

<u>Question 3 </u>

Nina's Hourly Rate for first 40 hours = 12.25 dollars per hour.

Overtime rate for after first 40 hours = 1.5 x 12.25 = 18.375 dollars per hour.

Total work = 46 hours.

Gross Pay = (Hourly rate)x(first 40 hours) + (Overtime rate)x(Excess time after first 40 hours)

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Gross pay = 490 + 110.25

Gross pay = 600.25 dollars.

Hence, option A is correct i.e. 600.25 dollars.

<u>Question 4 </u>

Tip amount = 15 dollars.

Meal cost = 75 dollars.

Tip percentage = (Tip amount / Meal cost) x 100

Tip percentage = (15 / 75) x 100 = 20%

Hence, option B is correct i.e. 20%

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Weekly Salary = 844 dollars.

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