In the diagram shown, the distance between points A and C is the same as the distance between points B and G.
2 answers:
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Answer:
The required equilibrium point is (356.538,58.769)
Step-by-step explanation:
The two points on your demand equation are : (300,104) and (250,144)
Take the number of televisions on y-axis and the price of the television on x-axis
Now, to find the demand equation for the given problem, find slope using the above two points :
And the y - intercept is : y = -0.8x + b
Find the value of b using any point. Let us take (250,144)
144 = -0.8 × 250 + b
⇒ b = 144 + 200
⇒ b = 344
So, the y-intercept is : y = -0.8x + 344
The two points on your supply equation are : (225,88) and (315,68)
Take the number of televisions on y-axis and the price of the television on x-axis
Now, to find the supply equation for the given problem, find slope using the above two points :
And the y - intercept is :
Find the value of b using any point. Let us take (225,88)
So, the y-intercept is :
To find the equilibrium point, solve both the y-intercepts of the demand equation and the supply equation :
⇒ x = 356.538 and y = 58.769
Hence, the required equilibrium point is (356.538,58.769)
Given that <span>Line m is parallel to line n.
We prove that 1 is supplementary to 3 as follows:
![\begin{tabular} {|c|c|} Statement&Reason\\[1ex] Line m is parallel to line n&Given\\ \angle1\cong\angle2&Corresponding angles\\ m\angle1=m\angle2&Deifinition of Congruent angles\\ \angle2\ and\ \angle3\ form\ a\ linear\ pair&Adjacent angles on a straight line\\ \angle2\ is\ supplementary\ to\ \angle3&Deifinition of linear pair\\ m\angle2+m\angle3=180^o&Deifinition of supplementary \angle s\\ m\angle1+m\angle3=180^o&Substitution Property \end{tabular}](https://tex.z-dn.net/?f=%5Cbegin%7Btabular%7D%0A%7B%7Cc%7Cc%7C%7D%0AStatement%26Reason%5C%5C%5B1ex%5D%0ALine%20m%20is%20parallel%20to%20line%20n%26Given%5C%5C%0A%5Cangle1%5Ccong%5Cangle2%26Corresponding%20angles%5C%5C%0Am%5Cangle1%3Dm%5Cangle2%26Deifinition%20of%20Congruent%20angles%5C%5C%0A%5Cangle2%5C%20and%5C%20%5Cangle3%5C%20form%5C%20a%5C%20linear%5C%20pair%26Adjacent%20angles%20on%20a%20straight%20line%5C%5C%0A%5Cangle2%5C%20is%5C%20supplementary%5C%20to%5C%20%5Cangle3%26Deifinition%20of%20linear%20pair%5C%5C%0Am%5Cangle2%2Bm%5Cangle3%3D180%5Eo%26Deifinition%20of%20supplementary%20%5Cangle%20s%5C%5C%0Am%5Cangle1%2Bm%5Cangle3%3D180%5Eo%26Substitution%20Property%0A%5Cend%7Btabular%7D)
</span>
We prove that 1 is supplementary to 3 as follows:
Answer:
The correct option is B.
Step-by-step explanation:
It is given that Joe paid 14.00 for a board game this is 70% of the original price what is the original price.
Let the original price of board game be x.
Multiply both sides by 10.
Divide both sides by 7.
The original price is 20. Therefore the correct option is B.