Which triangle has hypotenuse Side C H? A cube. The top face has points A, B, D, C. The bottom face has points E, F, H, G. trian
gle ACH triangle BCH triangle GCH triangle FCH
2 answers:
Answer:
(C)Triangle GCH.
Step-by-step explanation:
Given a cube with the top face having points A, B, D, C and the bottom face has points E, F, H, G as shown in the attached diagram.
In the Face DCGH
The hypotenuse forms two right triangles: DCH and GCH
Therefore, from the given options, the triangle which has hypotenuse Side CH is Triangle GCH.
<u>The correct option is C.</u>
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Answer:
The linear equation relating price to demand is Q=-0.5*P + 30
Step-by-step explanation:
The demand for a good is the quantity of that good that the demanders are willing to purchase at a given price.
Then, the Demand Curve relates the quantity that a consumer would be willing to buy as a function of price.
You seek to determine the linear equation that relates the price to the demand Q = m * P + b where Q is the quantity demanded at a price P, and compared with the equation of the straight line y = mx + b, m is the slope and b is the ordinate to the origin.
On a line of the form y = m * x + b, the value of m, having two points, is calculated by:
And the ordinate to the origin b is calculated, taking the value of m, replacing any of the two points (replacing any of the two because it must give the same value of b) in the expression y = m * x + b and solving its value.
In the case of Q=m*P+b, the value of m, having two points, is calculated by:
Being:
- Q1= 5
- P1= $50
- Q2= 10
- P2= $40
and replacing:
you get:
m= -0.5
So, being Q=-0.5*P+b, b is calculated by:
- Replacing the point Q1= 5 and P1= 50
5= -0.5*50 + b → 5= -25 + b → 5+25= b → b= 30
- Replacing the point Q1= 10 and P1= 40
10= -0.5*40 + b → 10= -20 + b → 10+20= b → b= 30
Then, <u><em>the linear equation relating price to demand is Q=-0.5*P + 30</em></u>
Answer:
Correct choice is B
Step-by-step explanation:
In step 4 were proved that
By definition, similar triangles have proportional lengths of corresponding sides. To the side AB corresponds side ED, to the side AC corresponds side DC and to the side BC corresponds side EC. Thus,