Answer:
The measure of the largest angle is 72º.
Step-by-step explanation:
We will first solve for x. We know that the sum of the interior angles of a triangle is 180º, so 15x + 21x + 24x is equal to 180º. This means that 60x = 180º, so x = 3º. The largest angle is 24x, which is 72º.
To solve a problem like this, you can use a method called cross-multiplying. This is when you multiply the denominator of the first fraction by the numerator of the other and then multiply the two remaining numbers.
![\frac{x}{4} = \frac{6}{12}](https://tex.z-dn.net/?f=%20%5Cfrac%7Bx%7D%7B4%7D%20%3D%20%5Cfrac%7B6%7D%7B12%7D%20)
To make this easier on yourself, simplify first!
![\frac{x}{4} = \frac{1}{2}](https://tex.z-dn.net/?f=%20%5Cfrac%7Bx%7D%7B4%7D%20%3D%20%5Cfrac%7B1%7D%7B2%7D%20)
Multiply x by 2 and multiply 4 by 1.
2x = 4 Divide both sides by 2.
x = 2
You can check this by comparing the fractions with 2 in the place of x.
![\frac{2}{4} = \frac{6}{12}](https://tex.z-dn.net/?f=%20%5Cfrac%7B2%7D%7B4%7D%20%3D%20%5Cfrac%7B6%7D%7B12%7D%20)
Simplify!
![\frac{1}{2} = \frac{1}{2}](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B2%7D%20%3D%20%5Cfrac%7B1%7D%7B2%7D%20)
The fractions are equal, so
x = 2 .
Answer:
122
Step-by-step explanation:
An arithmetic sequence means a number is added each term. There is a term for where a number is multiplied as well. But in this case the first number is -103, the second number is -94 and the third number is -85. Can you tell what number is added each time?
The number is 9. -103+9=-94 and -94+9=-85 and so on. Now we want a way to find the term way further down the line.
Think of it doing it all at once. -103+9+9 gets us the third term right? so that's 2*9. -103+3*9 would get us the fourth. Hopefully that makes sense, but let me know if it doesn't. But for a few more examples, if we want the fifth term we would do -103+4*9 and getting the tenth would need -103+9*9. So basically we take the number term we want (in this case we want the 26th) and then take -103+ n*9, where n is the term we want minus 1, or in this case 25. so that's -103+25*9
Let me know if you need more of an explanation.
Answer:
The correct answer is D. It is not true that cluster sampling uses randomly selected clusters and samples everyone within each cluster.
Step-by-step explanation:
Cluster sampling is a method of collecting samples and statistical data, by means of which a certain group formed by people, things, events, etc., is taken as a sample, which are not considered individually but as part of a whole, which is in turn a proportional representation of the universality of samples available in the field.
Now, since this type of sampling allows to embrace large groups of sample units, data are not always obtained from all the components of the cluster, but from those necessary to be able to quantify the desired statistics.
the gcf of 40 and 60 is 2.
-steps:
40: 1, 2, 4, 5, 8, 10, 20, and 40
60: 1, 2, 3, 6, 11, 22, 33, and 66
in the factors of both numbers only number 2 is the common number, so 2 is the gcf of 40 and 66