Given:
The number of sides of given polygon = 4
To find the sum of the interior angles of the polygon.
Formula
The sum of interior angles of any polygon is
![Sum = (n-2)(180^\circ)](https://tex.z-dn.net/?f=Sum%20%3D%20%28n-2%29%28180%5E%5Ccirc%29)
where, n be the number of sides of the polygon.
Now,
Taking n = 4 we get,
![Sum = (4-2)(180^\circ)](https://tex.z-dn.net/?f=Sum%20%3D%20%284-2%29%28180%5E%5Ccirc%29)
or, ![Sum = 2(180^\circ)](https://tex.z-dn.net/?f=Sum%20%3D%202%28180%5E%5Ccirc%29)
or, ![Sum = 360^\circ](https://tex.z-dn.net/?f=Sum%20%3D%20360%5E%5Ccirc)
Hence,
The sum of the interior angles of the polygon is 360°.
If you want to solve for x, then the answer is x = 6*sqrt(2) where "sqrt" is shorthand for "square root"
Explanation:
All logs below are base 4
log(5) - log(18) = log(20) - 2*log(x)
log(5) - log(18) = log(20) - log(x^2)
log(5/18) = log(20/x^2)
5/18 = 20/x^2 ... raise both sides as exponents (base = 4); logs cancel
5x^2 = 18*20 ... cross multiply
5x^2 = 360
x^2 = 360/5 ... divide both sides by 5
x^2 = 72
x = sqrt(72) ... see note below.
x = sqrt(36*2)
x = sqrt(36)*sqrt(2)
x = 6*sqrt(2)
note: we only consider the positive solution for x because x cannot be negative. We cannot input negative x values into log(x). The domain of log(x) is x > 0. So we don't consider "plus/minus" for the square root.
Answer:
c
Step-by-step explanation:
1/2 + 1/3 = 3/6 + 2/6 = 5/6.....so 5/6 of the total marbles are red and white.
That means 1/6 are blue. So if 6 are blue, then 1/6 of the total marbles = 6
1/6x = 6
x = 6 * 6/1
x = 36.....there are 36 total marbles
1/2 are red.....so 1/2(36) = 36/2 = 18 are red
1/3 are white......1/3(36) = 36/3 = 12 are white
and 6 are blue.
Answer:
Step-by-step explanation:
<u>Given function</u>
<u>Its inverse is</u>
- x = (f^-1(x) - 3)/5
- 5x = f^-1(x) - 3
- f^-1(x) = 5x + 3
The second option is correct