Answer:
A : 6.5
Step-by-step explanation:
Since AB = CD the trapezoid is isosceles, which means that ∡A = ∡D
Therefore also ∡2 = ∡3 (they are half of the congruent angles)
For the properties of parallel lines (BD and AD) crossed by a transversal (BD) we have ∡3 = ∡CBD.
Now consider triangles AOD and BCD:
∡OAD (2) = ∡ADO (3) = ∡CBD (3) = ∡CDB (4)
T<span>he sum of the angles of a triangle must be 180°, t</span>herefore:
∡AOD = 180 - ∡2 - ∡3
∡BCD = 180 - ∡3 - ∡4
∡AOD = ∡BCD because their measure is the difference of congruent angles.
Answer:
x = 44
Step-by-step explanation:
log4(x + 20) = 3
Raise each side to the power of 4
4^ log4(x + 20) = 4^3
x+20 = 4^3
x+20 = 64
Subtract 20 from each side
x+20-20 = 64-20
x = 44
Answer:
Step-by-step explanation:
Given that the dollar cost of producing x appliances is
A) Average cost can be obtained by dividing c(x) by units = x
i.e. average cost = 
B) Marginal cost = dC/dx = 
When x=140 marginal cost 
C) We calculate
c(140) = 
c(141) = 
Marginal cost = difference = 33.80
Same as 34 shown in marginal cost.
Answer:
Step-by-step explanation:
Time is the independent variable here. The tank is being filled and the amount of water in it is dependent on how much time passes by.
This is a straight line function (linear function); the rate at which the tank is filled is:
750 m^3
----------------
1 hr
