Answer:
120°
Step-by-step explanation:
The sum of the interior angles of a polygon is
sum = 180° (n - 2) ← n is the number of sides
Here n = 5 since a pentagon has 5 sides, thus
sum = 180° × 3 = 540°
let x be the measure of the 3 equal angles
Sum the interior angles and equate to 540
112 + 68 + 3x = 540, that is
180 + 3x = 540 ( subtract 180 from both sides )
3x = 360 ( divide both sides by 3 )
x = 120
Hence the measure of each equal interior angle is 120°
This math is known as permutations- the arrangement of a set of objects. A way that I use to solve these problems was by just multiplying the numbers, so the singer's can be selected in 28 ways.
Prime factorization of 5·2·5=5^2·2
Answer:
Step-by-step explanation:
n is perpendicular. - 1/(2/5) = - 5/2. n is the negative reciprocal of the given line.
m is neither.
p is parallel to the given line. For example y = 2/5x
and y = 2/5 x + 9 are parallel to each other.
Answer:
Value of 
is 8.
Step-by-step explanation:
Given function,
![f(x)=\big[\frac{x}{2}\big]](https://tex.z-dn.net/?f=f%28x%29%3D%5Cbig%5B%5Cfrac%7Bx%7D%7B2%7D%5Cbig%5D)
we have to find :
It is known that,
![[x]](https://tex.z-dn.net/?f=%5Bx%5D)
=the greatest integer <=x
Then,
![\implies x=f^{-1}(\big[\frac{x}{2}\big])](https://tex.z-dn.net/?f=%5Cimplies%20x%3Df%5E%7B-1%7D%28%5Cbig%5B%5Cfrac%7Bx%7D%7B2%7D%5Cbig%5D%29)
Taking x=8 we get,
![f^{-1}(\big[\frac{x}{2}\big])=x](https://tex.z-dn.net/?f=f%5E%7B-1%7D%28%5Cbig%5B%5Cfrac%7Bx%7D%7B2%7D%5Cbig%5D%29%3Dx)
![\implies f^{-1}(\big[\frac{8}{2}\big])=8](https://tex.z-dn.net/?f=%5Cimplies%20f%5E%7B-1%7D%28%5Cbig%5B%5Cfrac%7B8%7D%7B2%7D%5Cbig%5D%29%3D8)
![\implies f^{-1}([4])=8](https://tex.z-dn.net/?f=%5Cimplies%20f%5E%7B-1%7D%28%5B4%5D%29%3D8)
( Since [4]=4 )
Hence the value of is 8.
