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Iteru [2.4K]
3 years ago
5

Tell wether the angles are adjacent or vertical. Then find the value of x.

Mathematics
1 answer:
Gre4nikov [31]3 years ago
8 0

Answer:

The angles are vertical

Step-by-step explanation:

x+42+2x+1=180

put the like terms together i.e 2x+x+42+1=180

you get: 3x+43=180

Take 43 to th other side of 180 i.e 3x=180-43 i.e (180-43=137)

You get 3x=137

Divide both sides by 3

you get x=45.666666666667(Round off to get 45.67)

Substitute the value of x to the angles

x+42(45.67+42=87.67)

2x+1(2(45.67)+1=92.34

Add 87.67+92.34=180

THis shows that the angles are vertical

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Use elimination to solve the system of equations 9x-2y=30 and x-2y=14
VashaNatasha [74]

Answer:

Step-by-step explanation:

9x - 2y = 30

x - 2y = 14

9x - 2y = 30

-x  + 2y = -14

8x = 16

x = 2

2 - 2y = 14

-2y = 12

y = -6

(2, -6)

4 0
3 years ago
what is the probability that the dart lands on a white slice, given that the dart lands on a number less than 9? write answer as
OverLord2011 [107]

Answer:

6/10

Step-by-step explanation:

First, you need to get rid of all the blue slices, leaving 6 behind. Since they are all less than 9, you have a 6/10 chance of getting a white slices less than 9 :)

Hope this helps! :D

6 0
3 years ago
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riadik2000 [5.3K]

Answer:

-11x-4 is the answer if the expression to simplify is (-7x+1)-(4x+5).

Step-by-step explanation:

We are first going to distribute to get rid of the ( ):

-7x+1-4x-5

Pair up like terms:

-7x-4x+1-5

Combine the like terms:

-11x-4

3 0
3 years ago
A bacteria population is going exponentially with a growth factor of 1/6 each hour. By what growth factor does the population ch
solong [7]

Answer:

The bacteria population will change with a growth factor of 1/12 for every half an hour or 1/12 per 30 minutes. (I don't know what the options are, but anything related to the answer I gave should be right.)

Step-by-step explanation:

Simple mathematics should get you the right answer. Here we are dealing with a fraction in a fraction. The first scenario should look like this: <u>1/6 / 1</u>. Basically, that looks like one-sixth over one. Obviously, if we divide 1/6 by 1, we would get 1/6 itself again and we want to know what growth factor the population changes by for every half an hour. There are <u>30 minutes</u> in half an hour and <u>60 minutes</u> in one hour. Let's use the simplified terms to our advantage. Now, our first scenario should look like this: <u>1/6 / 60</u>. Looks better now doesn't it? (Check the linked image to see the full scenario and how I did it in this next part.) For me, I divided 60 by 30 to get the scale factor, which is 2, then I divide 2 by 1/6 to get 1/12. Finally, we have 1/12 per half an hour! If I am wrong, please let me know and I hope this helps! :D

3 0
3 years ago
A quantity P is an exponential function of time t. Use the given information about the function P = P0e^{kt} to find values for
Greeley [361]

Answer:

P = 40 x 4

= 160

P = 50 x 3

= 150

6 0
3 years ago
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