The Correct Answer is (E)<span> — Recall that congruent means that two polygons are the same shape and size. Since ∆</span>ABC<span> and ∆</span>ACD<span> are congruent, you know that each angle from one triangle corresponds to an angle of the other triangle. If you are having a hard time visualizing the triangles matching up, mark up the given diagram or draw your own to show the triangles side by side:</span>
Just by filling in the angles, you can see that the remaining angle in each triangle must be 60°. To find ∠BCD, simply sum ∠BCA and ∠ACD to get a total of 60° + 90° = 150°.
Answer:
Step-by-step explanation:
A)
these are the intervals of people who are at least adults and are mature enough to take the survey seriously and answer correctly.
B)
You can say with 95 percent certain of the real mean of the population, but you acknowledge that due to difficulties such as, sampling error, real-life problems such as bad weather, bad vision of the surveyed, not knowing the language and due to bad wording, your answers are unsure is the range of 8 percent due the fluctuation of data caused by bad circumstances.
C)
I believe there should be a quota of 50 to 50 percent to make the data the most equal, though I understand that there may not be an equal distribution of land and cell lines among the U.S. mature populace.
D)
(Since I don't have the data, I can't answer part 4)
Answer:
<h2>See the explanation.</h2>
Step-by-step explanation:
a.
The initial length of the candle is 16 inch. It also given that, it burns with a constant rate of 0.8 inch per hour.
After one hour since the candle was lit, the length of the candle will be (16 - 0.8) = 15.2 inch.
After two hour since the candle was lit, the length of the candle will be (15.2 - 0.8) = 14.4 inch. The length of the candle after two hours can also be represented by {16 - 2(0.8)}.
Hence, the length of the candle after t hours when it was lit can be represented by the function, 
. 
at t = 20.
b.
The domain of the function is 0 to 20.
c.
The range is 0 to 16.
