Answer:
m∠ABC = 68°
m∠DEF = 112°
Step-by-step explanation:
Supplementary angles are angles that add up to 180 degrees (they form a straight line).
If ∠ABC and ∠DEF are supplementary, that means that they add up to 180. We can write this in an equation:
- (6x + 8) + (12x - 8) = 180
Combine like terms.
Divide both sides by 18.
Find the measure of each angle by substituting 10 for x into both expressions for the angles.
m∠ABC = (6x + 8)°
m∠DEF = (12x - 8)°
Answer:
I don't think that there is a way to know without a graph. Sorry.
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
To find inverse function, we need to follow the steps:
1. Change f(x) to y
2. Interchange x and y
3. solve for new y
4. Change y to ![f^{-1}(x)](https://tex.z-dn.net/?f=f%5E%7B-1%7D%28x%29)
Let's do this with the function given:
![f(x)=\frac{2x+1}{x-4}\\y=\frac{2x+1}{x-4}\\x=\frac{2y+1}{y-4}\\x(y-4)=2y+1\\xy-4x=2y+1\\xy-2y=4x+1\\y(x-2)=4x+1\\y=\frac{4x+1}{x-2}\\f^{-1}(x)=\frac{4x+1}{x-2}](https://tex.z-dn.net/?f=f%28x%29%3D%5Cfrac%7B2x%2B1%7D%7Bx-4%7D%5C%5Cy%3D%5Cfrac%7B2x%2B1%7D%7Bx-4%7D%5C%5Cx%3D%5Cfrac%7B2y%2B1%7D%7By-4%7D%5C%5Cx%28y-4%29%3D2y%2B1%5C%5Cxy-4x%3D2y%2B1%5C%5Cxy-2y%3D4x%2B1%5C%5Cy%28x-2%29%3D4x%2B1%5C%5Cy%3D%5Cfrac%7B4x%2B1%7D%7Bx-2%7D%5C%5Cf%5E%7B-1%7D%28x%29%3D%5Cfrac%7B4x%2B1%7D%7Bx-2%7D)
To find
, we plug in 3 into the inverse equation:
![f^{-1}(x)=\frac{4x+1}{x-2}\\f^{-1}(3)=\frac{4(3)+1}{(3)-2}\\f^{-1}(3)=\frac{13}{1}\\f^{-1}(3)=13](https://tex.z-dn.net/?f=f%5E%7B-1%7D%28x%29%3D%5Cfrac%7B4x%2B1%7D%7Bx-2%7D%5C%5Cf%5E%7B-1%7D%283%29%3D%5Cfrac%7B4%283%29%2B1%7D%7B%283%29-2%7D%5C%5Cf%5E%7B-1%7D%283%29%3D%5Cfrac%7B13%7D%7B1%7D%5C%5Cf%5E%7B-1%7D%283%29%3D13)
D is the correct answer.
So you would simplify scence you cant subtract simplify the variables then do your normal steps of pemdas
The answer is 107 because for every term the sequence is being added by 15. Therefore 62+15= 77. 77+15=92. 92+15=107, the seventh term is going to be 107