30% of 42= 3/10*42 Write percent as a fraction.
=126/10 Multiply
=63/5 (Decimal: 12.6) Simplify
Answer:
m<1 = 76°
m<2 = 104°
m<3 = 76°
m<4 = 104°
Step-by-step explanation:
m<1 and m<3 are vertical angles so, these angles have the same measure of 76°. m<2 and m<4 are also vertical angles which have the same measure. To find m<2, use m<1. m<1 and m<2 are <u>supplementary angles</u> which add up to 180°. Subtract 180 from 76 which is 104.
Answer:
55
Step-by-step explanation:
The total is 2(2x+15) +2x=360.
4x+30+2x=360
6x+30=360
6x=330
x=55
Answer:
The answer to your question is below
Step-by-step explanation:
1.-
a) It's a function
b) It is not a function
c) it's a function
d) it's a function
2.-
a) It's a one to one function
b) it's not a one to one function
c) it's a one to one function
d) it's a one to one function
<span>For this case we have the following expression:
</span>
![\frac{n ^ 4-11n ^ 2 + 30}{ n ^ 4-7n ^ 2 + 10} ](https://tex.z-dn.net/?f=%20%5Cfrac%7Bn%20%5E%204-11n%20%5E%202%20%2B%2030%7D%7B%20n%20%5E%204-7n%20%5E%202%20%2B%2010%7D%20%0A%0A)
<span> We are going to make the following change of variables:
</span>
![x = n ^ 2 ](https://tex.z-dn.net/?f=x%20%3D%20n%20%5E%202%0A)
<span>Rewriting the expression we have:
</span>
![\frac{(x ^ 2-11x + 30)}{(x ^ 2-7x + 10)} ](https://tex.z-dn.net/?f=%20%5Cfrac%7B%28x%20%5E%202-11x%20%2B%2030%29%7D%7B%28x%20%5E%202-7x%20%2B%2010%29%7D%20%0A%0A)
<span>Factoring the expression we have:
</span>
![\frac{(x-5) (x-6)}{(x-5) (x-6)} ](https://tex.z-dn.net/?f=%20%5Cfrac%7B%28x-5%29%20%28x-6%29%7D%7B%28x-5%29%20%28x-6%29%7D%20%0A)
<span>Canceling similar terms we have:
</span>
![\frac{x-6}{x-2} ](https://tex.z-dn.net/?f=%20%5Cfrac%7Bx-6%7D%7Bx-2%7D%20%0A)
<span>Returning the change we have:
</span>
![\frac{n ^ 2-6}{n ^ 2-2} ](https://tex.z-dn.net/?f=%20%5Cfrac%7Bn%20%5E%202-6%7D%7Bn%20%5E%202-2%7D%20%0A%0A)
<span> The resctrictions of the function are those that make the denominator equal to zero.
We have then:
</span>
![n ^ 2-2 = 0 n = +/- \sqrt{2} ](https://tex.z-dn.net/?f=n%20%5E%202-2%20%3D%200%0A%0An%20%3D%20%2B%2F-%20%20%5Csqrt%7B2%7D%20%0A)
<span>
Answer: The simplified expression is: </span>
<span>
The restrictions are: </span>