The sum of the measures of angles in the polygon with n angles is
180°(n - 2)
We have an octagon → n = 8.
The sum of the measures of angles in an octagon is
180°(8 - 2) = 180°(6) = 1080°
The equation:
x + 139 + 140 + 125 + 116 + 152 + 2x + 143 = 1080
3x + 815 = 1080 <em>subtract 815 from both sides</em>
3x = 265 <em>divide both sides by 3</em>
<h3>x = 88 1/3</h3>
Answer:
Number 6 is A and number 7 is B
Step-by-step explanation:
Since the function is even, its degree must be even (so it might be 2, 4, 6, ...)
In particular, all these numbers are one more than a perfect fourth power:
![(-3)^4=3^4=81 \implies f(-3)=f(3)=81+1=82](https://tex.z-dn.net/?f=%28-3%29%5E4%3D3%5E4%3D81%20%5Cimplies%20f%28-3%29%3Df%283%29%3D81%2B1%3D82)
![(-2)^4=2^4=16\implies f(-2)=f(2)=16+1=17](https://tex.z-dn.net/?f=%28-2%29%5E4%3D2%5E4%3D16%5Cimplies%20f%28-2%29%3Df%282%29%3D16%2B1%3D17)
![(-1)^4=1^4=81 \implies f(-1)=f(1)=1+1=2](https://tex.z-dn.net/?f=%28-1%29%5E4%3D1%5E4%3D81%20%5Cimplies%20f%28-1%29%3Df%281%29%3D1%2B1%3D2)
![0^4=0 \implies f(0)=0+1=1](https://tex.z-dn.net/?f=0%5E4%3D0%20%5Cimplies%20f%280%29%3D0%2B1%3D1)
So, the function is
![f(x)=x^4+1](https://tex.z-dn.net/?f=f%28x%29%3Dx%5E4%2B1)
and the degree is 4.
Answer:
4x + 5y = - 23
Step-by-step explanation:
the equation of a line in slope-intercept form is
y = mx + c ( m is the slope and c the y-intercept )
rearrange 4y - 5x = 20 into this form
add 5x to both sides
4y = 5x + 20 ( divide all terms by 4 )
y =
x + 5 ← in slope-intercept form
with slope m = ![\frac{5}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B4%7D)
given a line with slope m then the slope of a line perpendicular to it is
= -
, hence
= - 1 /
= - ![\frac{4}{5}](https://tex.z-dn.net/?f=%5Cfrac%7B4%7D%7B5%7D)
y = -
x + c ← is the partial equation
to find c substitute (- 2, - 3) into the partial equation
- 3 =
+ c ⇒ c = - ![\frac{23}{5}](https://tex.z-dn.net/?f=%5Cfrac%7B23%7D%7B5%7D)
y = -
x -
← in slope-intercept form
multiply all terms by 5
5y = - 4x - 23 ( add 4x to both sides )
4x + 5y = - 23 ← in standard form
Answer:
the answer is 0.34 (look down to see a trick to find a fast answer0
Step-by-step explanation:
Remember, when people say 34%, it means 34% of 1. So, 34% is equivalent to .34. We multiply 50 by .34 to get 34% of 50. So, 34% of 50 is 17
Percentages are communative. 34% of 50 is the same as 50% of 34.