Answer:
x= 110°
Step-by-step explanation:
if you continue drawing the top purple line you will have a triangle with three angles
70° ; is given
180-140= 40°; is the same angle as the supplement angle of 140° (complementary angles are congruent)
180-70-40 = 70°; because sum of angles in a triangle is 180°
So angle x= 180 -70 = 110 because are a linear pair
Making a shape bigger and smaller
Answer: Arthur Stanley Eddington's 1919 expedition confirmed Einstein's prediction for the deflection of light by the Sun during the total solar eclipse of 29 May 1919 which helped to cement the status of general relativity as a true theory. Since then many observations have confirmed the correctness of general relativity.
Hope this helps. Also gimme brainliest.
Answer:
C. 75
Step-by-step explanation:
Answer:
<em>If more than 134 articles are produced and sold, the firm will have positive profits and shoule start production</em>
Step-by-step explanation:
Cost, Revenue, and Profit Function
The cost function C(x) is given by
![C(x)=75x+3,350](https://tex.z-dn.net/?f=C%28x%29%3D75x%2B3%2C350)
where x is the number of produced products.
The revenue function is
![R(x)=100x](https://tex.z-dn.net/?f=R%28x%29%3D100x)
With both equations, we can know the profit function as
![P(x)=R(x)-C(x)](https://tex.z-dn.net/?f=P%28x%29%3DR%28x%29-C%28x%29)
![P(x)=100x-75x-3,350=25x-3,350](https://tex.z-dn.net/?f=P%28x%29%3D100x-75x-3%2C350%3D25x-3%2C350)
![P(x)=25x-3,350](https://tex.z-dn.net/?f=P%28x%29%3D25x-3%2C350)
For the firm to have positive profits, it has to produce x articles with the condition
![P(x)>0](https://tex.z-dn.net/?f=P%28x%29%3E0)
Or, equivalently
![P(x)=25x-3,350>0](https://tex.z-dn.net/?f=P%28x%29%3D25x-3%2C350%3E0)
Solving for x
![\displaystyle x>\frac{3,350}{25}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20x%3E%5Cfrac%7B3%2C350%7D%7B25%7D)
Thus
![x>134](https://tex.z-dn.net/?f=x%3E134)
This means that if more than 134 articles are produced and sold, the firm will have positive profits and shoule start production