Answer:
AB || CD
Step-by-step explanation:
Remember that vertical angles are always equal/ congruent to each other
Since 108° is vertical to angle S, angle S also equals 108°
Since a line is equal to 180°, and you now know that S equals 108°, you would subtract 180 by 108 to get line RT.
180-108= 71°
By default, line VW also equals 71° (you are repeating the same progress you did to get RT)
The angle vertical to <V is equal to 134°, so angle V also equals 134°
180-134 gives you the answer to the angle by 134 and V, they should equal 46°
Corresponding angles equal each other, so angle R is also 134°, and by default the other numbers are equal to to what you did at the top right
Once again, since corresponding angles are equal to each other, you would automatically have the same answers for the bottom line;
the outermost angles equal 134° and the innermost angles equal 46°
Answer:
The Mode is the number that appears most in a data set
Step-by-step explanation:
Data Set. 54, 54, 56, 54
Mode. 54
Answer:
Out of 80 questions Andrew did 76 questions correctly.
Step-by-step explanation:
Total number of questions is 80.
It is given that he got 95% on the test. It means he answered 95% of the total questions correctly.
First we have to calculate 95% of 80.
![80\times \frac{95}{100}=76](https://tex.z-dn.net/?f=80%5Ctimes%20%5Cfrac%7B95%7D%7B100%7D%3D76)
The 95% of 80 is 76. So, 76 answers are correct.
Therefore out of 80 Andrew did 76 questions correctly.
Answer:
Answer:<em>I think that is right...</em>
Answer:<em>I think that is right...Please make me brainliest...</em>
Step-by-step explanation:
Hey there!
Given;
f ( x ) = x² + 2x - 1
g ( x ) = 3x - 2
To verify:
![( \frac{f}{g} )(2) = \frac{f(2)}{g(2)}](https://tex.z-dn.net/?f=%28%20%5Cfrac%7Bf%7D%7Bg%7D%20%29%282%29%20%3D%20%20%5Cfrac%7Bf%282%29%7D%7Bg%282%29%7D%20)
LHS:
![(\frac{f}{g} )(x) = \frac{ {x}^{2} + 2x - 1}{3x - 2}](https://tex.z-dn.net/?f=%20%28%5Cfrac%7Bf%7D%7Bg%7D%20%29%28x%29%20%3D%20%20%5Cfrac%7B%20%7Bx%7D%5E%7B2%7D%20%20%2B%202x%20-%201%7D%7B3x%20-%202%7D%20)
~ Insert "2" instead of "x".
![(\frac{f}{g} )(2) = \frac{ {2}^{2} + 2 \times 2 - 1 }{3 \times 2 - 2}](https://tex.z-dn.net/?f=%20%28%5Cfrac%7Bf%7D%7Bg%7D%20%29%282%29%20%3D%20%20%5Cfrac%7B%20%7B2%7D%5E%7B2%7D%20%2B%202%20%5Ctimes%202%20-%201%20%7D%7B3%20%5Ctimes%202%20-%202%7D%20)
Simplify it;
![\frac{f}{g} (2) = \frac{4 + 4 - 1}{6 - 2}](https://tex.z-dn.net/?f=%20%5Cfrac%7Bf%7D%7Bg%7D%20%282%29%20%3D%20%20%5Cfrac%7B4%20%2B%204%20-%201%7D%7B6%20-%202%7D%20)
Therefore; (f/g)(2) = 7/4.
RHS:
![\frac{f(x)}{g(x)} = \frac{ {x}^{2} + 2x - 1}{3x - 2}](https://tex.z-dn.net/?f=%20%5Cfrac%7Bf%28x%29%7D%7Bg%28x%29%7D%20%20%3D%20%20%5Cfrac%7B%20%7Bx%7D%5E%7B2%7D%20%20%2B%202x%20-%201%7D%7B3x%20-%202%7D%20)
~Insert "2" instead of"x".
![\frac{f(2)}{g(2)} = \frac{ {2}^{2} + 2 \times 2 - 1 }{3 \times 2 - 2}](https://tex.z-dn.net/?f=%20%5Cfrac%7Bf%282%29%7D%7Bg%282%29%7D%20%20%3D%20%20%5Cfrac%7B%20%7B2%7D%5E%7B2%7D%20%2B%202%20%5Ctimes%202%20-%201%20%7D%7B3%20%5Ctimes%202%20-%202%7D%20)
Simplify it.
![\frac{f(2)}{g(2)} = \frac{4 + 4 - 1}{6 - 2}](https://tex.z-dn.net/?f=%20%5Cfrac%7Bf%282%29%7D%7Bg%282%29%7D%20%20%3D%20%20%5Cfrac%7B4%20%2B%204%20-%201%7D%7B6%20-%202%7D%20)
Therefore, f(2)/g(2) = 7/4.
Since (f/g)(2) = f(2)/g(2) = 7/4.
<em><u>Proved!</u></em>
<u>Hope </u><u>it </u><u>helps</u><u>!</u>