Answer:
The number of possible color combinations that she can make = 6
Step-by-step explanation:
The number of available colors = 3
The question states that Maria only uses a color on each shape at a time,
The number of possible color combinations that she can make = 3!
n! = n*(n -1)*(n-2)*......*1
3! = 3 * 2 * 1
3! = 6 combinations
The number of possible color combinations that she can make = 6
For this case we have that by definition, the area of a rectangle is given by:

Where:
w: Is the width of the rectangle
l: is the length of the rectangle
Each of the girls has 24 feet of fencing, that is, the perimeter is 
Amy:

Thus, Amy's fence area is: 
Zach:

Thus, the area of Zach's fence is:
Answer:
Amy's garden has a greater area
, is
greater
For this case we can apply the Pythagorean theorem to find "x". Taking the rectangle triangle of base 5 we have:

By definition of power properties we have:
![\sqrt [n] {a ^ m} = a ^ {\frac {m} {n}}](https://tex.z-dn.net/?f=%5Csqrt%20%5Bn%5D%20%7Ba%20%5E%20m%7D%20%3D%20a%20%5E%20%7B%5Cfrac%20%7Bm%7D%20%7Bn%7D%7D)
So:

Answer:

Answer:
3(4x-1)
Step-by-step explanation:
I hope this is correct and helpful
Answer:
∠N = 31
Step-by-step explanation:
MN = MP
∠N = ∠P = x+3
∠M + ∠N + ∠P = 180
4x+6 + x+3 + x+3 = 6x + 12 = 180
x = 28
∠N = 28 + 3 = 31