Step-by-step explanation:
angle A and Angle D are congruent. as are Angle C and Angle F.
because you have two pairs of congruent angles this proves the triangles are similar using AA Theorem.
I couldn't read the 3rd question. if you post as a comment I can look at it better.
70 degrees, 20 minutes. It's an angle measure in Degrees-Minutes-Seconds(DMS) instead of Decimal Degrees (DDS). DMS is commonly used in engineering, land survey and navigation for ships and planes.
There are 60 seconds in one minute and 60 minutes in one degree.
So 70°20' is =
Answer:
x^6
Step-by-step explanation:
Given (x^8)^3/4
To find : simplified as much as possible, x is raised to what exponent.
Solution : We have given that (x^8)^3/4
By the exponential rule : x^a(b) = x^ab
Then we have
=x^(8/4 *3)
=x^(2 *3)
=x^6
(3.9*10^2)(2.3*20^6)
(3.9*100)(2.3*64000000)
(390)(147200000)
57408000000 <<< is your answer
Answer:
The answer is below
Step-by-step explanation:
Given that:
Mean (μ) = 1.93, standard deviation (σ) = 1.08 pounds, sample (n) = 62.
the mean weight of discarded plastic for all household is given by:

The standard deviation of discarded plastic for all household is given by:

The confidence (c) = 90% = 0.9
α = 1 - c = 1 - 0.9 = 0.1
α/2= 0.1/2 = 0.05
The z score of 0.05 corresponds to the z score of 0.45 (0.5 - 0.05) which is 1.645. i.e. 
The margin of error (E) = 
The confidence interval = 
We are 90% confidence that the value is between 1,7044 and 2.1556