Answer:
The polygon has 9 sides
Step-by-step explanation:
we know that
A regular polygon has equal length sides and equal interior angles
step 1
Find the measure of the interior angle
Remember that
The interior angle plus the exterior angle must be equal to 180 degrees (form a linear pair)
Let
x ----> the measure of each interior angle in the regular polygon
so
![x+40^o=180^o](https://tex.z-dn.net/?f=x%2B40%5Eo%3D180%5Eo)
solve for x
![x=180^o-40^o=140^o](https://tex.z-dn.net/?f=x%3D180%5Eo-40%5Eo%3D140%5Eo)
step 2
Find the number of sides of the regular polygon
we know that
The measure of each interior angle in a regular polygon is given by the formula
![x=\frac{(n-2)180^o}{n}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B%28n-2%29180%5Eo%7D%7Bn%7D)
where
n is the number of sides of the polygon
substitute the given values
![140^o=\frac{(n-2)180^o}{n}](https://tex.z-dn.net/?f=140%5Eo%3D%5Cfrac%7B%28n-2%29180%5Eo%7D%7Bn%7D)
solve for n
![140n=180n-360\\180n-140n=360\\40n=360\\n=9\ sides](https://tex.z-dn.net/?f=140n%3D180n-360%5C%5C180n-140n%3D360%5C%5C40n%3D360%5C%5Cn%3D9%5C%20sides)
therefore
The polygon has 9 sides
Answer:
69°
Step-by-step explanation:
180 - 21 -90 = 69
hope this helps...
EDIT: I copied the problem wrong
Line thru (-3,-5) and (6,1) in standard form.
Point point form for the line joining (a,b) and (c,d) is
(c-a)(y-b) = (d-b)(x-a)
(6 - -3)(y - -5) = (1 - -5)(x - - 3)
9(y + 5) = 6(x + 3)
9y + 45 = 6x + 18
27 = 6x - 9y
2x - 3y = 9
Ax + By = C
That satisfies the constraints,
A=2, B=-3, C=9
A+B+C=8
Answer: 8
Check: 2x - 3y = 9 thru (-3,-5) and (6,1)
2(-3)-3(-5)= -6 + 15 = 9 good
2(6) - 3(1) =12 - 3 = 9, good
Answer:
i dont know if you can see the whole thing but here is the answer
Step-by-step explanation: