![\bf \textit{sum of all interior angles in a polygon}\\\\ S=180(n-2)~~ \begin{cases} n=\textit{number of sides}\\[-0.5em] \hrulefill\\ n=8 \end{cases}\implies S=180(8-2) \\\\\\ S=180(6)\implies S=1080](https://tex.z-dn.net/?f=%5Cbf%20%5Ctextit%7Bsum%20of%20all%20interior%20angles%20in%20a%20polygon%7D%5C%5C%5C%5C%20S%3D180%28n-2%29~~%20%5Cbegin%7Bcases%7D%20n%3D%5Ctextit%7Bnumber%20of%20sides%7D%5C%5C%5B-0.5em%5D%20%5Chrulefill%5C%5C%20n%3D8%20%5Cend%7Bcases%7D%5Cimplies%20S%3D180%288-2%29%20%5C%5C%5C%5C%5C%5C%20S%3D180%286%29%5Cimplies%20S%3D1080)
now, we know 7 of those angles are already 835°, so the last one must be 1080 - 835 = 245°.
Answer:
c + 3d = 14.75
2c + 5d = 26
A box of candy is $4.25 and a drink is $3.50
Step-by-step explanation:
Let c represent the cost of a box of candy and let d represent the cost of a drink
c + 3d = 14.75
2c + 5d = 26
Solve by elimination by multiplying the top equation by -2
-2c - 6d = -29.5
2c + 5d = 26
Add them together
-d = -3.5
d = 3.5
Plug in 3.5 as d into one of the equations to solve for c
c + 3d = 14.75
c + 3(3.5) = 14.75
c + 10.5 = 14.75
c = 4.25
So, a box of candy is $4.25 and a drink is $3.50
Answer:
it would be
B. y + 5 = 2(x + 6)
if there is a negative number and you are subtracting it turns positive
Step-by-step explanation:
Answer:
is the imaginary line where you could fold the image and have both halves match exactly.
Answer:
x = 25.6
Step-by-step explanation:
As we can see, this is a right triangle, so there are known relationships
well to start we have to know the relationship between angles, legs and the hypotenuse
α = 43
a: adjacent = x
o: opposite
h: hypotenuse = 35
sin α = o/h
cos α = a/h
tan α = o/a
we see that it has (angle, adjacent, hypotenuse)
cos α = a/h
cos 43° = x / 35
cos 43° * 35 = x
25.59 = x
if we want to round to the nearest tenth
x = 25.59 = 25.6
