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viktelen [127]
2 years ago
10

A quadrilateral WXYZ contains wxy where measure of wxy=92 degrees. Once rotated 270° about the origin and translated 2 units up,

what is the measure of W'X'Y'?
A. 108 degrees

B. 98 degrees

C. 92 degrees

D. 88 degrees
Mathematics
1 answer:
Marianna [84]2 years ago
8 0

Answer:

C. 92 degrees

Step-by-step explanation:

Given that the \angle{wxy}=92° which is one of the angles of the quadrilateral WXYZ

The quadrilateral is first rotated by 270° about the origin and then translated 2 units up, the new position of the quadrilateral is W'X'Y'Z'.

The shape of the quadrilateral is remained unchanged due to rotation and translation, so all the angles of the final quadrilateral W'X'Y'Z' is the same as the angles of the given quadrilateral WXYZ.

So,\angle{w'x'y'}= \angle{wxy}

By using the given value,

\angle{w'x'y'}= 92°

Hence, option (C) is correct.

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A researcher for an airline interviews all of the passengers on five randomly selected flights.
antoniya [11.8K]

Answer

Cluster sampling. See explanation below.

Step-by-step explanation:

For this case they not use random sampling since we are selecting people from flights. Because we select just 5 random flights.

Is not stratified sampling since we don't have strata clearly defined on this case, and other important thing is that in order to apply this method we need homogeneous strata groups and that's not satisfied on this case.

Is not convenience sampling because they NOT use a non probability method in order to select the people from the flights.

So then the only possible method is cluster sampling since we have clusters clearly defined (Passengers from the airlines), and we satisfy the condition of homogeneous characteristics on the clusters and an equal chance of being a part of the sample, since we are selecting RANDOMLY, the 5 flights to take the information.

6 0
3 years ago
Bethany has 3.10$ in nickels and dimes. She has a total of 44 coins . What is the value of the nickels Bethany has
vlada-n [284]
Represent the unknows with n and d.

Then n+d = 44 (# of coins)

and 

$0.05n + $0.10d = $3.10   (value of coins)

Solving the first equation for n, we get n = 44-d.  Subst.  44-d for n in the 2nd equation:

0.05(44-d) + 0.10d = 3.10
Then 2.20 - 0.05d + 0.10d = 3.10, or
          2.20 + 0.05d             = 3.10, or    0.05d = 0.90.  Solving for d, 
       0.90
d = -------- = 18
        0.05

There are 18 dimes and 44-18 nickels.  How many nickels is that?  ;)

5 0
3 years ago
Read 2 more answers
Plz help me I need tu turn this is by midnight!!
expeople1 [14]

Answer:

The last answer.

Step-by-step explanation:

It looks to be the correct answer because for the one above you can't simplify 27 by 5.

4 0
3 years ago
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I need to know what the answer to that question is and I need to know how to do it
mel-nik [20]

Answer:

\frac{59}{8}  or 7\frac{3}{8}

Step-by-step explanation:

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First you need to make the 12 5/8 into an improper fraction by multiplying 12 by 8 and then adding the total by 5.

12\frac{5}{8} -> \frac{101}{8}

Now you have \frac{80}{4} - \frac{101}{8} so you need a common denominator by multiplying the first fraction by 2

\frac{80}{4} -> \frac{160}{8}

Then you subtract 160 - 101 which equals 59.

\frac{59}{8}  or 7\frac{3}{8}

5 0
3 years ago
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Mama L [17]

Answer:

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Step-by-step explanation:

2 goes into 6 evenly so two times three equals six so you multiply 1 by three and it gives you 3/6

8 0
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