Answer:
x=8
z=132
Step-by-step explanation:
We know that 6x and 4x+16 are vertical angles, so they are equal
6x= 4x+16
Subtract 4x from each side
6x-4x = 4x-4x+16
2x =16
Divide each side by 2
2x/2 =16/2
x =8
We also know that 6x and x form a straight line
6x+z = 180
6(8) + z =180
48+z =180
Subtract 48 from each side
48-48 +z =180-48
z = 132
Answer:
The Formula is 4 x Pi x Radius Squared . surface area of sphere = 4 x pi x radius x radius where "x" indicates multiplication and pi = approximately 3.141592654 4 * pi * r^2
Step-by-step explanation:
Answer:
27 by 27
Step-by-step explanation:
Let the sides be x and y. The problem is essentially asking:
Given 2(x+y)=108, maximize xy.
We know that x+y=54. By the Arithmetic Mean - Geometric Mean inequality, we can see that 
. Substituting in x+y=54, we get 
, meaning that 
. Equality will only be obtained when x=y (in this case it will generate the maximum for xy), so setting x = y, we can see that x = y = 27. Hence, 27 is the answer you are looking for.
