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.)
r = -6
Step-by-step explanation:
The slope of a line is defined as
![m = \dfrac{y_2 - y_1}{x_2 - x_1}](https://tex.z-dn.net/?f=m%20%3D%20%5Cdfrac%7By_2%20-%20y_1%7D%7Bx_2%20-%20x_1%7D)
Let
and
. Since m = -1, we can write
![-1 = \dfrac{r - 2}{4 - (-4)} \Rightarrow -1 = \dfrac{r - 2}{8}](https://tex.z-dn.net/?f=-1%20%3D%20%5Cdfrac%7Br%20-%202%7D%7B4%20-%20%28-4%29%7D%20%5CRightarrow%20-1%20%3D%20%5Cdfrac%7Br%20-%202%7D%7B8%7D)
or
![r - 2 = -8 \Rightarrow r = -6](https://tex.z-dn.net/?f=r%20-%202%20%3D%20-8%20%5CRightarrow%20r%20%3D%20-6)
i hope this can help you.
80ft! I might be wrong though
How I did it:
Since there are 5 floors (ground floor included) then that means only 1 floor is 24ft so I multiplied 14 by 4 to get 56 then I added 24 to get 80!
Answer:
Step-by-step explanation:
If a triangle has two legs of equal length
Then the bisector of the angle between those legs is perpendicular to the third side.