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Vsevolod [243]
3 years ago
11

2. In the figure below, which pairs of angles are supplementary?

Mathematics
1 answer:
Vinvika [58]3 years ago
3 0

Answer:

angleWTR + angleWTU = 180°

Thus they are supplementary.

Option B.

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Use slope-intercept form to write an equation of a line passing through the given point and having the given slope. Express the
Arturiano [62]

Answer:

4y = -3x - 48

Step-by-step explanation:

y - y1 = m(x - x1)

y1 = -9 x1= -4 m = -3/4

y -(-9) = -3/4(x -(-4)

y + 9 = -3/4(x + 4)

y + 9 = -3/4x -12/4

multiply through by 4

4y + 36 = -3x -12

4y = -3x -12-36

4y = -3x -48 in the form y = mx + c

4 0
2 years ago
Simplify 2m - [n - (m - 2n)]. -3m - n 3m - n -3m - 3n 3m - 3n
zhenek [66]

Answer:

3m-3n

Step-by-step explanation:

We want to simplify the expression;

2m - [n - (m - 2n)].

We expand the parenthesis to obtain;

2m - (n - m + 2n)

2m - ( - m + 3n)

Expand further to get;

2m +m -3n

Combine the first two terms;

3m-3n

4 0
3 years ago
Read 2 more answers
Trains headed for destination A arrive at the train station at 15-minute intervals tarting at 7am, where as trains headed for de
grandymaker [24]

Answer: a.) 2/3 ; b.) 7/12

Step-by-step explanation:

Given the following details :

Destination A trains arrives at station at 15 minutes interval starting from 7am

Destination B trains arrives at station at 15 minutes interval starting from 7.05am

A.) if a passenger arrives at station uniformly between 7am and 8am and gets on first train. What proportion of time does the passenger leave from destination A?

To leave for destination A. The passenger has to arrive before train to A departs and after train to B leaves.

Train to B leaves, starting at at 7.05 a.m and at interval of 15 minutes

Train to A leaves at 7.00 am and at interval of 15 minutes.

Therefore,

(Train B departs - train A arrives) (between 7 to 8am)

(7.05 - 7.15) + (7.20 - 7.30) + (7.35 - 7.45) + (7.50 - 8.00) = 40 minutes

Total time = 7.00 - 8.00 = 60 minutes

(40 ÷ 60) = 2/3 or 0.667

B.) If passenger arrives uniformly between 7.10am - 8:10am

(7.10 - 7.15) + (7.20 - 7.30) + (7.35 - 7.45) + (7.50 - 8)

5 + 10 + 10 + 10 = 35

35/60 = 7/12 or 0.583

8 0
3 years ago
What is the amount of sales tax on a $48 backpack if the sales tax rate is 6%?
Alenkinab [10]

Answer: 2.88

Step-by-step explanation:

48 x 0.06 = 2.88 and thats how much tax you will pay!!

3 0
3 years ago
How does the volume of a cylinder change when its diameter is halved
Ivahew [28]

The volume of a cylinder is given by πr²h where, r is the radius of the cylinder and <span>h </span>is the height of the cylinder.

Also<span> r=d/2</span> , where d is the diameter of the cylinder.

Therefore if the diameter is halved, the radius also gets halved ,i.e., it becomes r/2. Therefore the new volume =<span> π(r/2)²h</span>

=π(r²/4)h

<span>=(1/4) πr²h</span>

<span>
</span>

7 0
3 years ago
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