The sum of the angles equals 180
therefore
x+(1/4x)=180
1 1/4 x = 180
x=180/ 1 1/4
x=144
1/4 x =1/4(144)=36
Answer:
teri is tired
Step-by-step explanation:
from running
Problem 1
<h3>Answer: False</h3>
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Explanation:
The notation (f o g)(x) means f( g(x) ). Here g(x) is the inner function.
So,
f(x) = x+1
f( g(x) ) = g(x) + 1 .... replace every x with g(x)
f( g(x) ) = 6x+1 ... plug in g(x) = 6x
(f o g)(x) = 6x+1
Now let's flip things around
g(x) = 6x
g( f(x) ) = 6*( f(x) ) .... replace every x with f(x)
g( f(x) ) = 6(x+1) .... plug in f(x) = x+1
g( f(x) ) = 6x+6
(g o f)(x) = 6x+6
This shows that (f o g)(x) = (g o f)(x) is a false equation for the given f(x) and g(x) functions.
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Problem 2
<h3>Answer: True</h3>
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Explanation:
Let's say that g(x) produced a number that wasn't in the domain of f(x). This would mean that f( g(x) ) would be undefined.
For example, let
f(x) = 1/(x+2)
g(x) = -2
The g(x) function will always produce the output -2 regardless of what the input x is. Feeding that -2 output into f(x) leads to 1/(x+2) = 1/(-2+2) = 1/0 which is undefined.
So it's important that the outputs of g(x) line up with the domain of f(x). Outputs of g(x) must be valid inputs of f(x).
Irratonal numbers can't be written as a/b where a and b are integers and b≠0
so if it can be written in form a/b then it is not irrational
![\sqrt{36}=6=\frac{6}{1}](https://tex.z-dn.net/?f=%5Csqrt%7B36%7D%3D6%3D%5Cfrac%7B6%7D%7B1%7D)
, it's rational
1/5 is rational
![\sqrt{60}=2\sqrt{15}](https://tex.z-dn.net/?f=%5Csqrt%7B60%7D%3D2%5Csqrt%7B15%7D)
it's irrational because we can't simplify the square root further
6.3=6.3/1=63/100, rationanl
answer is
![\sqrt{60}](https://tex.z-dn.net/?f=%5Csqrt%7B60%7D)
is irrational
Step-by-step explanation:
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