Step-by-step explanation:
We can prove that the triangles are congruent using the SAS method.
It's given that GH and JH are congruent (S)
Angle GHF and Angle IHJ are equal since they are vertically opposite (A)
It's given that FH and HI are congruent (S)
Thus, the triangles are congruent, which implies that the remaining sides are equal.
Answer:
x=20
Step-by-step explanation:
Sorry but I don't have an explanation.
Answer:
The total revenue equation is TR=50Q
The total cost equation TC=2304+14Q
Equilibrium quantity is 64
Step-by-step explanation:
The total cost function can be written TC=a+bQ, where TC is the total cost ,a fixed cost ,b is the variable cost per unit and Q the quantity produced
Revenue function can be given TR=P*Q, where TR is total revenue,P is the price per unit and Q quantity sold
since P is $50
TR=50P
when TC=$3564,
3564=a+90Q equation 1
when TC=$5944
5944=a+260bequation 2
Solving simultaneously,we subtract equation 1 from 2
5944=a+260b
3564=a+90b
2380=170b
b=2380/170
b=$14
We substitute for b in any of the equations
3564=a+(14*90)
3564=a+1260
a=3564-1260
a=2304
Hence the total cost equation is
TC=2304+14Q
At equilibrium TC =TR
50P=2304+14Q
50P-14Q=2304
36Q=2304
Q=64
Given that the chords intersect at the center, you conclude that they both are diameters.
Now, you have that the point p is the intersection point, so it is the center of the circle.
Then, the length of CP is the radius of the circle, and also the lenght of PB is the radius.
So, the length of CP is equal to the length of PB, and it is 8.
Answer: 8.
