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miss Akunina [59]
2 years ago
6

Quadrilateral WXYZ is on a coordinate plane. Segment XY is on the line x − 3y = −12, and segment WZ is on the x − 3y = −6. Which

statement proves how segments XY and WZ are related?
Mathematics
2 answers:
asambeis [7]2 years ago
7 0

Answer:

If you have a fraction for your answer choices then the answer is  They have the same slope of 1/3 and are, therefore, parallel.

Step-by-step explanation:

I took the test.

Nostrana [21]2 years ago
4 0

Answer:

Equation shown

Step-by-step explanation:

Eq(1): x-3y=-12

X=-12+3y

=-4+y

Eq(2): x-3y=-6

X=-6+3y

=-2+y

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While driving home for the holidays, you can’t seem to get Little’s Law out of your mind. You note that your average speed of tr
suter [353]

Answer:

1,200 cars per hour

Step-by-step explanation:

Let's suppose the car flow is constant and based on the observations stated in the problem.

If we set and imaginary car counter where your car is, then there are 25 cars in ¼ of a mile (including yours) going at your same speed.

Now compute how long it will take to travel ¼ mile. As your speed is constant 60 mph, we can cross multiply  

60 miles -----------> 1 hour

¼ of a mile --------> x hours

and

60/ (¼) = 1/x ---------> x = 1/240 hours.

This means that in 1/240 hours the 25 cars will be passing the counter.

Now compute how many cars will pass through our counter in 1 hour. Again, cross multiplying

1/240 hours -------> 25 cars

1 hour --------------> x cars

and

1/240 = 25/x -------> x = 25*240 = 1,200 cars.

So, the flow rate of the highway (going in your direction) in cars per hour is 1,200 cars per hour.

7 0
2 years ago
Emery looks out their apartment window to the building across the way. The building isknown to be 42 feet tall. The angle of dep
Amanda [17]

Answer:

x=44.5ft

Step-by-step explanation:

From the question we are told that:

Height h=42ft

Angle of depression \theta=27\textdegree

Angle of Elevation \alpha=23 \textdegree

Generally the equation for the vertical distance between Emery's distance x and the bottom of the building  is mathematically given by

Since the angle of depression and elevation are given as

27 and 23 respectively

Therefore

Emery's view of the 42 ft building is

\gamma=23+27

\gamma=50  \textdegree

Therefore Emery's distance x to the base of the building h' is

h'=\frac{27}{50}*42

h'=22.68ft

Generally the Trigonometric equation for Emery's distance x is mathematically given by

x=\frac{h'}{tan\theta}

x=\frac{22.68}{tan 27}

x=44.5ft

6 0
1 year ago
the average of five numbers is 16. Suppose 10 is added to the five numbers what it the average of the six numbers
Lerok [7]
X/5 = 16
x = 80

80+10/ 6 = 90/6 = 15..
3 0
2 years ago
Compute the cost of driving for two different job options.4 $Driving costs 0.50 dollars per mile. Driving occurs 250 days per ye
ohaa [14]

Answer:

Compute the cost of driving for two different job options.

Driving costs 0.50 dollars per mile. Driving occurs 250 days per year.

Job 1

Miles each way 5

What is the cost of driving?

Job 2

Miles each way 50

What is the cost of driving?

4 0
2 years ago
we are asking everyone to focus on reducing their average transaction time by 10%. the average transaction time for this locatio
Anettt [7]

Answer:

We have to get the average transaction time down to 371 seconds or 6 minutes 11 seconds.

Step-by-step explanation:

The average transaction time for this location is 6 minutes and 52 seconds.

1\text{ minute}=60\text{ seconds}

6\text{ minute}=6\times 60\text{ seconds}

6\text{ minute}=360\text{ seconds}

The average transaction time for this location is

360+52=412\text{ seconds}

The average transaction time is reduced by 10%.

412-\frac{10}{100}\times 412=412-41.2=370.8\approx 371\text{ seconds}

The average transaction time of this location reduced to 371 seconds.

\frac{371}{60}=\frac{360+11}{60} =6+\frac{11}{60}

The average transaction time of this location reduced to 6 minutes 11 seconds.

6 0
2 years ago
Read 2 more answers
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