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anygoal [31]
3 years ago
8

Geometry picture added

Mathematics
1 answer:
Nikitich [7]3 years ago
5 0
X and Z equal 72
Y equals 108.

This is because y and 108° are vertex angles meaning they are both equal to each other. X is 72 because it’s form a supplementary angle with 108°. So what I did to find x is I subtracted 108 from 180 to get 72°. Then I know x and z are vertex angles meaning that z is also equal to 72°
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Please help and also include an explanation so I know how you got the answer.
Nastasia [14]

Answer:

x = 15

Step-by-step explanation:

We know that 4x° + 8x° make a straight angle of 180°.

4x° + 8x° = 180°

12x° = 180°

12x = 180

x = 180/12 = 15

4 0
2 years ago
Read 2 more answers
You are given that<br> 4a-2b = 10<br> (a)<br> Write down the value of<br> 2a - b
Simora [160]

Answer:

2a - b = 5

Step-by-step explanation:

4a - 2b = 10

take out the highest common factor of the left side

2(2a - b) = 10

divide both sides by two

2a - b = 10/2

2a - b = 5

6 0
3 years ago
Elise pays $21.75 for 5 students tickets to the fair. WHat is the cost of each students tickets
Tamiku [17]
It's very simple just divide 21.75 by five and that's your answer did you want me to do it?
3 0
3 years ago
Read 2 more answers
Someone help me with this I will make you brain
hram777 [196]

Step-by-step explanation:

let's look at the full numbers under the square roots when bringing the external factors back in :

sqrt(9×9×2) - sqrt(3×3×7) + sqrt(8) - sqrt(28)

and let's present these numbers as the product of their basic prime factors

sqrt(3×3×3×3×2) - sqrt(3×3×7) + sqrt(2×2×2) - sqrt(2×2×7)

now we see that we have 2 pairs of square roots : 1 pair ends with a factor of 2, and one pair with a factor of 7.

let's combine these

sqrt (3×3×3×3×2) + sqrt(2×2×2) - sqrt(3×3×7) - sqrt (2×2×7)

and now we move the factors of 2 and 7 back out in front (of course, we need to apply the square root on these factors) :

9×sqrt(2) + 2×sqrt(2) - 3×sqrt(7) - 2×sqrt(7) =

= (9+2)×sqrt(2) - (3+2)×sqrt(7) = 11×sqrt(2) - 5×sqrt(7)

and that is the first answer option.

5 0
3 years ago
A researcher uses an anonymous survey to investigate the television-viewing habits of American adolescents. Based on the set of
umka2103 [35]

Answer:

Option b) Sample                                                            

Step-by-step explanation:

We are given the following in the question:

Survey:

356 surveys on television-viewing habits of American adolescents.

Result:

Average of 3.1 hours per day.

Population and sample:

  • Population is a collection of all the possible observation of individuals or variable of interest.
  • A sample is always a part of the population.
  • It is a subset of population.

For the given survey, those who responded to the survey forms a a sample as it is a part of 356 surveys that is a subset of population.

The correct answer is

Option b) Sample

8 0
3 years ago
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