Answer:
∠MDP = 90° = Right angle
∠MDP = 180° = Straight angle
∠ODM = 90° = Right angle
∠OND = Not an angle
∠NDO = 90° = Right angle
∠NDM = 180° = Straight angle
∠PMN = Not an angle
∠PDO = 180° = Straight angle
∠PDN = 90° = Right angle
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It’d be 0.57, hope this helps.
If f(x)=69-15x then ![f(f^{-1}(x))=x](https://tex.z-dn.net/?f=f%28f%5E%7B-1%7D%28x%29%29%3Dx)
Given :
![f(x)=69-15x\\](https://tex.z-dn.net/?f=f%28x%29%3D69-15x%5C%5C)
Lets find out
. The steps to find out f inverse are
Replace f(x) by y
![y=69-15x\\Interchange \; the \; variables\\x=69-15y\\solve \; for \; y\\x-69=-15y\\Divide \; by \; -15\\\frac{-x+69}{15} =y\\Replace \;y \;with \; f^{-1}\\f^{-1}=\frac{-x+69}{15}](https://tex.z-dn.net/?f=y%3D69-15x%5C%5CInterchange%20%5C%3B%20the%20%5C%3B%20variables%5C%5Cx%3D69-15y%5C%5Csolve%20%5C%3B%20for%20%5C%3B%20y%5C%5Cx-69%3D-15y%5C%5CDivide%20%5C%3B%20by%20%5C%3B%20-15%5C%5C%5Cfrac%7B-x%2B69%7D%7B15%7D%20%3Dy%5C%5CReplace%20%5C%3By%20%5C%3Bwith%20%5C%3B%20f%5E%7B-1%7D%5C%5Cf%5E%7B-1%7D%3D%5Cfrac%7B-x%2B69%7D%7B15%7D)
Now we find ![f(f^{-1}(x))](https://tex.z-dn.net/?f=f%28f%5E%7B-1%7D%28x%29%29)
Replace inverse function in the place of x in f(x)
![f(f^{-1}(x))=f(\frac{-x+69}{15} )=69-15(\frac{-x+69}{15})=69-(-x+69)=69+x-69=x\\f(f^{-1}(x))=x](https://tex.z-dn.net/?f=f%28f%5E%7B-1%7D%28x%29%29%3Df%28%5Cfrac%7B-x%2B69%7D%7B15%7D%20%29%3D69-15%28%5Cfrac%7B-x%2B69%7D%7B15%7D%29%3D69-%28-x%2B69%29%3D69%2Bx-69%3Dx%5C%5Cf%28f%5E%7B-1%7D%28x%29%29%3Dx)
Learn more :
brainly.com/question/11242094
Answer:
3,3
Step-by-step explanation:
Answer:
Step-by-step explanation:
1) corresponding angles
2)alternate interior angles
3)alternate interior angles
4)corresponding angles
2x-7=123
2x=130
x=65
5)corresponding angles
6x-11=5x
6) alternate interiot
40=14-2x
26=-2x
-13=x