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Ber [7]
3 years ago
14

If m<W=9x-3 and m<Z=3x+15 solve for x​

Mathematics
1 answer:
soldier1979 [14.2K]3 years ago
5 0

Answer:

x = 14

Step-by-step explanation:

W and Z are adjacent angles. So they are supplementary and add to 180 degrees.  

W + Z = 180  

9x - 3 + 3x + 15 = 180  

12x + 12 = 180 12x = 180 - 12  

12x = 168  

x = 168/12  

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X-2y=1;3x-6y=3 substitution
emmainna [20.7K]

Answer:

All solutions

Step-by-step explanation:

     When solving by substitution, we will first set one equation equal to a variable, and then plug that value into the second equation as the variable. Here is what I mean;

x - 2y = 1

3x - 6y = 3

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x = 1 + 2y

3x - 6y = 3

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3(1 + 2y) - 6y = 3

3 + 6y - 6y = 3

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[] Oh no! This doesn't work well. Let's graph it and see what is happening;

-> See attached

-> I have made the lines very thick so you can see the overlap, they are the same size in reality

The answer is all solutions because the graphs are exactly the same.

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.

- Heather

8 0
3 years ago
A company is selecting 6 people to be on a committee. There are 29 employees eligible to be on the committee. What is the total
postnew [5]

Answer: 342014400

Step-by-step explanation:

Given : A company is selecting 6 people to be on a committee.

Total employees eligible to be on the committee=29

Since each employee will have a different position on the committee, thus order matters here , so we use Permutations.

Number of permutation of n thing taking m things at a time is given by :-

^nP_m=\dfrac{n!}{(n-m)!}

Then, the number of permutation of 29 employees taking 6 at a time will be :-

^{29}P_6=\dfrac{29!}{(29-6)!}\\\\=\dfrac{29\times28\times27\times26\times25\times24\times23!}{23!}\\\\=342014400

Hence, the total number of ways the committee may be formed = 342014400

3 0
3 years ago
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