Answer:
In geometry, a polygon is a plane figure that is described by a finite number of straight line segments connected to form a closed polygonal chain or polygonal circuit. The solid plane region, the bounding circuit, or the two together, may be called a polygon.
The segments of a polygonal circuit are called its edges or sides, and the points where two edges meet are the polygon's vertices(singular: vertex) or corners.
So, if a shape has points where two edges meet, it is indeed a polygon. Some examples include: Equilateral Triangles, Squares, Regular Pentagons, Regular Hexagons, Regular Heptagons, and Regular Octagons.
Answer:
10
Step-by-step explanation:
We will use a system of equations to solve this. We do not know how much of the 25% bleach solution is used; we will use x to represent this. We know that 5 cups of the 10% solution was used. We do not know how much of the resulting solution we have; we will use y to represent this. This gives us the equation
x+5 = y
Using the decimal forms of the percentages for each solution, we have 0.25x (25% solution for x cups), 0.1(5) (10% solution for 5 cups) and 0.2y (20% solution for y cups); this gives us the equation
0.25x+0.1(5) = 0.2y
This gives us the system

To use elimination, we will make the coefficients of x the same by multiplying the top equation by 0.25:

We will now subtract the second equation from the first:

Divide both sides by 0.05:
0.75/0.05 = 0.05y/0.05
15 = y
There were 15 cups of the resulting 20% solution. Substituting this into the first equation, we have
x+5=15
Subtract 5 from each side:
x+5-5=15-5
x = 10
Answer:
$89,472.58
Step-by-step explanation:
P = $82100
r = 4.3% = 4.3/100 = 0.043
T = 2 years
V = P × e^rt
V = 82100 × e^(0.043 × 2)
V = 82100 × e^(0.086)
V = 82100 × 1.0898
V = 89,472.58
The interest after 2 years is $89,472.58