Answer:
147 degrees
Step-by-step explanation:
all the angles of a triangle add up to 180 degrees. so, you must perform the operation 180-(83+64) which equals 33. this is the angle supplementary to angle 1. to find angle 1, you must subtract 180 and 33 since supplementary angles add up to 180 degrees. this is equal to 147 degrees.
When you move a number to the opposite side of the equation, in this occasion it will be 23- it changes to the opposite value. So us 23 is a positive value you can move it and change it to a negative. Or in other words suntract -23 from all sides of the equation, which will be equal to:
y = 59 - 23
Y = 36
Answer:
The answer is given below.
Step-by-step explanation:
Alternate exterior angles: I is a pair of angles on the outer side of the each of two parallel lines but on opposite side of the transversal.
Vertically opposite angles: They are angles opposite each other when two lines intersect each other or cross each other.
Corresponding angles: The angles which occupy the same relative position at each intersection where a transversal intersect the two parallel lines.
Same side interior angles: These are the angles between the parallel lines with the transversal.
Alternate interior angles: These are those angles that are alternate to each other and lie inside the parallel lines forming in Z shape.
Linear pair angles: It is a pair of adjacent angles formed by two intersecting lines
![\angle 1\ and\ \angle 6:\ \textrm{alternate exterior angles}\\\angle 1\ and\ \angle 3:\ \textrm{Vertical opposite angles}\\\angle 3\ and\ \angle 6:\ \textrm{corresponding angles}\\\angle 4\ and\ \angle 8:\ \textrm{same side interior angles}\\\angle 4\ and\ \angle 5:\ \textrm{alternate interior angles}\\\angle 5\ and\ \angle 6:\ \textrm{linear pair angles}](https://tex.z-dn.net/?f=%5Cangle%201%5C%20and%5C%20%5Cangle%206%3A%5C%20%5Ctextrm%7Balternate%20exterior%20angles%7D%5C%5C%5Cangle%201%5C%20and%5C%20%5Cangle%203%3A%5C%20%5Ctextrm%7BVertical%20opposite%20angles%7D%5C%5C%5Cangle%203%5C%20and%5C%20%5Cangle%206%3A%5C%20%5Ctextrm%7Bcorresponding%20angles%7D%5C%5C%5Cangle%204%5C%20and%5C%20%5Cangle%208%3A%5C%20%5Ctextrm%7Bsame%20side%20interior%20angles%7D%5C%5C%5Cangle%204%5C%20and%5C%20%5Cangle%205%3A%5C%20%5Ctextrm%7Balternate%20interior%20angles%7D%5C%5C%5Cangle%205%5C%20and%5C%20%5Cangle%206%3A%5C%20%5Ctextrm%7Blinear%20pair%20angles%7D)
Regression to the mean and selection bias are the superfluous variables that are removed by randomly choosing schools for the experiment and control groups.
A statistical phenomenon known as regression to the mean (RTM) states that if a random outcome of any measurement or event is severe in the first example, the second or following outcomes will be less extreme. In other words, it will be somewhat near to the distribution's mean or center.
According to regression to the mean (RTM), if an experiment's first result is extreme, the second result will be more in line with the population mean.
Decisions are made incorrectly as a result of this prejudice.
To mitigate the detrimental impacts of regression to the mean, organizations can exercise critical thinking and undertake a randomized controlled trial (RCT) with an experimental group and a control group.
Learn more about Regression :
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The numbers of new CDs is 30 and the old CDs is 21.
To solve this problem, we have to write a system of equations in which we would know the numbers of each types of CD she bought.
<h3>System of Equations</h3>
This is used to solve a series or complex of word problems in which we can represent in a mathematical statements;
- Let n represents numbers of new CDs
- Let u represents numbers of old CDs
The equations can be represented as
![n + u = 51 ...equation(i)\\15n + 6u = 576 ... equation(ii)](https://tex.z-dn.net/?f=n%20%2B%20u%20%3D%2051%20...equation%28i%29%5C%5C15n%20%2B%206u%20%3D%20576%20...%20equation%28ii%29)
Let's take equation (i)
Making n the subject of formula
![n + u = 51\\n = 51 - u...equation(iii)](https://tex.z-dn.net/?f=n%20%2B%20u%20%3D%2051%5C%5Cn%20%3D%2051%20-%20u...equation%28iii%29)
we can put equation (iii) into equation (ii)
![15n + 6u =576\\n = 51 - u\\15(51 - u) + 6u = 576\\765-15u + 6u = 576\\collect like terms\\765-576=15u - 6u\\189=9u\\9u/9 = 189/9\\u = 21](https://tex.z-dn.net/?f=15n%20%2B%206u%20%3D576%5C%5Cn%20%3D%2051%20-%20u%5C%5C15%2851%20-%20u%29%20%2B%206u%20%3D%20576%5C%5C765-15u%20%2B%206u%20%3D%20576%5C%5Ccollect%20like%20terms%5C%5C765-576%3D15u%20-%206u%5C%5C189%3D9u%5C%5C9u%2F9%20%3D%20189%2F9%5C%5Cu%20%3D%2021)
Let's put the value of u into equation (i)
![n + u = 51\\u = 21\\n + 21 = 51\\n = 51 - 21\\n = 30](https://tex.z-dn.net/?f=n%20%2B%20u%20%3D%2051%5C%5Cu%20%3D%2021%5C%5Cn%20%2B%2021%20%3D%2051%5C%5Cn%20%3D%2051%20-%2021%5C%5Cn%20%3D%2030)
From the calculations above, the numbers of new CDs is 30 and the old CDs is 21.
Learn more on system of equations here;
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