a )
First of all we need to find the value of x ,
because the angles are written in terms of the variable x .
______________________________________
<h2>Let's find the value of
x :</h2>
STV angle & SUV angle have same measure because both of them are the front angle of SV arc .
![STV angle \: = SUV angle \: \: = \frac{SV \: arc}{2} \\](https://tex.z-dn.net/?f=STV%20angle%20%5C%3A%20%20%3D%20SUV%20angle%20%5C%3A%20%20%5C%3A%20%20%3D%20%5Cfrac%7BSV%20%5C%3A%20%20arc%7D%7B2%7D%20%20%5C%5C%20)
So :
![3x - 5 = 2x + 15](https://tex.z-dn.net/?f=3x%20-%205%20%3D%202x%20%2B%2015)
Add sides 5
![3x - 5 + 5 = 2x + 15 + 5](https://tex.z-dn.net/?f=3x%20-%205%20%2B%205%20%3D%202x%20%2B%2015%20%2B%205)
![3x = 2x + 20](https://tex.z-dn.net/?f=3x%20%3D%202x%20%2B%2020)
Subtract sides minus 2x
![3x - 2x = 2x + 20 - 2x](https://tex.z-dn.net/?f=3x%20-%202x%20%3D%202x%20%2B%2020%20-%202x)
Collect like terms
![x = 2x - 2x + 20](https://tex.z-dn.net/?f=x%20%3D%202x%20-%202x%20%2B%2020)
![x = 20](https://tex.z-dn.net/?f=x%20%3D%2020)
Thus the measure of angle T equals :
![measure \: of \: angle \: T = 3x - 5 \\](https://tex.z-dn.net/?f=measure%20%5C%3A%20of%20%5C%3A%20angle%20%5C%3A%20T%20%3D%203x%20-%205%20%5C%5C%20)
Now just need to put the value of x which we found :
![measure \: of \: angle \: T \: = 3 \times (20) - 5 \\](https://tex.z-dn.net/?f=measure%20%5C%3A%20of%20%5C%3A%20angle%20%5C%3A%20T%20%5C%3A%20%20%3D%203%20%5Ctimes%20%2820%29%20-%205%20%5C%5C%20)
![measure \: of \: angle \: T \: = 60 - 5](https://tex.z-dn.net/?f=measure%20%5C%3A%20of%20%5C%3A%20angle%20%5C%3A%20T%20%5C%3A%20%20%3D%2060%20-%205)
![measure \: of \: angle \: T \: = 55°](https://tex.z-dn.net/?f=measure%20%5C%3A%20of%20%5C%3A%20angle%20%5C%3A%20T%20%5C%3A%20%20%3D%2055%C2%B0)
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b )
angle S & angle V are also have same measure because they both are the front angles to the TU arc .
And we need to find the value of x again in this part exactly like we did for a .
![angle \: \: S = angle \: \: V](https://tex.z-dn.net/?f=angle%20%5C%3A%20%20%5C%3A%20%20S%20%20%3D%20%20angle%20%20%5C%3A%20%20%5C%3A%20V)
As the question told :
![angle \: \: S = 3x](https://tex.z-dn.net/?f=angle%20%5C%3A%20%20%5C%3A%20%20S%20%20%3D%203x)
and ,
![angle \: \: V = x + 16](https://tex.z-dn.net/?f=angle%20%20%5C%3A%20%20%5C%3A%20V%20%3D%20x%20%2B%2016)
Thus :
![3x = x + 16](https://tex.z-dn.net/?f=3x%20%3D%20x%20%2B%2016)
Subtract sides minus x
![3x - x = x + 16 - x](https://tex.z-dn.net/?f=3x%20-%20x%20%3D%20x%20%20%2B%2016%20-%20x)
Collect like terms
![2x = x - x + 16](https://tex.z-dn.net/?f=2x%20%3D%20x%20-%20x%20%2B%2016)
![2x = 16](https://tex.z-dn.net/?f=2x%20%3D%2016)
Divide sides by 2
![\frac{2x}{2} = \frac{16}{2} \\](https://tex.z-dn.net/?f=%20%5Cfrac%7B2x%7D%7B2%7D%20%20%3D%20%20%5Cfrac%7B16%7D%7B2%7D%20%20%5C%5C%20)
Simplification
![x = 8](https://tex.z-dn.net/?f=x%20%3D%208)
So ;
![measure \: \: of \: \: angle \: \: S = 3x](https://tex.z-dn.net/?f=measure%20%20%5C%3A%20%20%5C%3A%20of%20%20%5C%3A%20%20%5C%3A%20angle%20%20%5C%3A%20%20%5C%3A%20S%20%3D%203x)
![measure \: \: of \: \: angle \: \: S = 3(8)](https://tex.z-dn.net/?f=measure%20%5C%3A%20%20%5C%3A%20%20of%20%20%5C%3A%20%20%5C%3A%20angle%20%20%5C%3A%20%20%5C%3A%20S%20%3D%203%288%29)
![measure \: \: of \: \: angle \: \: S = 24°](https://tex.z-dn.net/?f=measure%20%20%5C%3A%20%20%5C%3A%20of%20%5C%3A%20%20%5C%3A%20%20angle%20%5C%3A%20%20%5C%3A%20%20S%20%3D%2024%C2%B0)
And we're done.
Abc - ab - c + 1
=ab(c - 1) - (c - 1)
= (c - 1) (ab - 1)
Answer:
The sampling used by Britney is stratified sampling.
Step-by-step explanation:
The type of sampling used is stratified sampling.
In stratified sampling the population is divided into groups by the researcher.
Stratified sampling has the advantage that the researcher can reduce or the sample size to get results that meet a certain precision or increase the sample size to get results that are more accurate.
In the given case the the day is first divided into three parts: morning, afternoon and evening.
Then in each part is again divided into two randomly selected times during each part of the day in which she measures her mood.
Answer:
i dont know but just try to answer it
Step-by-step explanation:
Answer:
A (-64)
Step-by-step explanation:
tell me if you want an explanation!!