Answer: Find the measures of an exterior angle and an interior angle given the number of sides of each regular polygon. Round to the nearest tenth, if necessary. 24 b 15, 345 24, 156 7.5, 172.5 15, 165
Step-by-step explanation: sum, S, of the measure of the interior angles of a polygon with n sides is: ... The sum of the interior angles of a 24 -gon is 3960. ... angles of a polygon is (n−2)⋅180 , where n is the number of sides. ... Each exterior angle measures 36024=15 . ... The sum of the 24 interior angles is then 24⋅165=3960 .
Answer: 35 sweets
Step-by-step explanation:
2:5:2= 9
peter= 2/9 x a= 14
it then turns to
9/2 x 14= 63
so bridget will get:
5/9 x 63
35 sweets
Step-by-step explanation:
![y = log_{4}( {x}^{4} )](https://tex.z-dn.net/?f=y%20%3D%20%20%20log_%7B4%7D%28%20%7Bx%7D%5E%7B4%7D%20%29%20)
Swap x and y.
![x = log_{4}( {y}^{4} )](https://tex.z-dn.net/?f=x%20%3D%20%20log_%7B4%7D%28%20%7By%7D%5E%7B4%7D%20%29%20)
Solve for y.
![x= 4 log_{4}(y)](https://tex.z-dn.net/?f=x%3D%204%20log_%7B4%7D%28y%29%20)
![\frac{1}{4} x = log_{4}(y)](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B4%7D%20x%20%3D%20%20log_%7B4%7D%28y%29%20)
![4 {}^{ \frac{1}{4}x } = y](https://tex.z-dn.net/?f=4%20%7B%7D%5E%7B%20%5Cfrac%7B1%7D%7B4%7Dx%20%7D%20%20%3D%20y)
So the inverse is
![4 {}^{ \frac{x}{4} } = f {}^{ - 1} (x)](https://tex.z-dn.net/?f=4%20%7B%7D%5E%7B%20%5Cfrac%7Bx%7D%7B4%7D%20%7D%20%20%3D%20f%20%7B%7D%5E%7B%20-%201%7D%20%28x%29)
Simplifying
a + 4b = 5b + -3a
Reorder the terms:
a + 4b = -3a + 5b
Solving
a + 4b = -3a + 5b
Solving for variable 'a'.
Move all terms containing a to the left, all other terms to the right.
Add '3a' to each side of the equation.
a + 3a + 4b = -3a + 3a + 5b
Combine like terms: a + 3a = 4a
4a + 4b = -3a + 3a + 5b
Combine like terms: -3a + 3a = 0
4a + 4b = 0 + 5b
4a + 4b = 5b
Add '-4b' to each side of the equation.
4a + 4b + -4b = 5b + -4b
Combine like terms: 4b + -4b = 0
4a + 0 = 5b + -4b
4a = 5b + -4b
Combine like terms: 5b + -4b = 1b
4a = 1b
Divide each side by '4'.
a = 0.25b
Simplifying
a = 0.25b
Answer:
4x^6 = sqroot(4) * sqroot(x^2) * sqroot(x^2) * sqroot(x^2)
= 2 * x * x * x = 2x^3
Step-by-step explanation: