Step-by-step answer:
This is a regular heptagon, means it has 7 <em>congruent</em> sides and 7 <em>congruent </em>vertex angles.
To work with polygons, there is a very important piece of information that you must know to solve the majority of related problems.
This is:
sum of exterior angles of polygons = 360 degrees.
If you don't remember the 360 degrees, think of the sum of exterior angles of an equilateral triangle, which is 3*(180-60)=3*120=360! It works!
For a regular heptagon, c = 360/7=51.43 degrees approx.
This means that each vertex angle measures
vertex angle = 180-c
So since 2d+the vertex angle = 360, we have
2d+(180-c)=360
solve for d:
2d=360-(180-c)=180+c
d=(180+c)/2=90+c/2=115.71 degrees. (approx.)
Answer:
There are an infinite number of solutions.
Step-by-step explanation:
An equation with 2 unknowns give an infinite amount of solutions, here is just one of the many:
Let y= 3 ( y can be any number)
(3) + 1 = -4x
4 = -4x
x = -4/4
x= -1
(x;y) = (-1;3)
Generally x and y can be any number, just let x or y be any number, then find the other variable based on the value of the number u assumed.
v = √16 · √d
d = 300 ft
v = √16 · √300
v = √16 · √100 · √3
v = 4 · 10 · √3
<em>v = 40√3 ft/sec </em> <== simplified radical form
That's about 69.3 feet per sec, or 47.2 miles per hour.
Answer:
<h2>
</h2>
Step-by-step explanation:
32base x means 
Similarly, 32base x+51base y equals to 
and 23base x +42 base y means 
As per the given condition, 
Putting, 
in 
, we get
Answer:
Surface area ~ 197.33
<em>Hope that helps!</em>
Step-by-step explanation:
