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Bess [88]
3 years ago
6

What is the reason for statement 4 in this proof?

Mathematics
2 answers:
Allisa [31]3 years ago
7 0
<span>Reflexive Property of Equality</span>
Naddika [18.5K]3 years ago
5 0
It's the reflexive property because it's just relating it to itself (def. of reflexive)

As we all know: A=A, B=B, mx=mx, nothing changes.

So the answer is D
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Classify the triangle by its angles.<br> 75°, 75°, 30°<br> Acute<br> Right<br> Obtuse
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Answer:

acute

Step-by-step explanation:

Since all of the angles are less than 90 degrees, the triangle is an acute triangle

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Write the equation of a line that is perpendicular to the given line and that passes through the given point. -x+5y=14; (-5,-2)
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Let\\\\k:y=m_1x+b_1\\\\l:y=m_2x+b_2\\\\l\ \perp\ k\iff m_1m_2=-1\\\\\text{We have}\ k:-x+5y=14\qquad|+x\\\\5y=x+14\qquad|:5\\\\y=\dfrac{1}{5}x+\dfrac{14}{5}\to m_1=\dfrac{1}{5}\\\\l:y=mx+b\to\dfrac{1}{5}m=-1\qquad|\cdot5\\\\m=-5\\\\l:y=-5x+b\\\\\text{Put the coordinates of the point (-5, -2) to the equation of the line}\ l:\\\\-2=-5(-5)+b\\-2=25+b\qquad|-25\\b=-27\\\\Answer:\ y=-5x-27\to5x+y=-27

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3 years ago
URGENT!!!
irina [24]
it will travel 2.6 miles
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Hi, i'm working on a presentation
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The explaination.

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Talia works 6 hours per day on Fridays and Saturdays each week. She earns $8.20 per hour
Simora [160]

<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)

Gross pay = (12.25 x 40) + (18.375 x 6)

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%

<u>Question 5 </u>

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Commision Rate = 4% = 0.04

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Last week commission on sales = 0.04 x 3250 = 130 dollars.

Gross pay = Weekly Salary + Commission amount.

Gross pay = 844 + 130 = 974 dollars.

Hence, option C is correct i.e. 974.00 dollars.

5 0
3 years ago
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