The Unique Shape Theorem states that all regular polygons with the same number of sides are similar to each other. And the immediate result of this theorem is that there is one unique shape for them.
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We will simply solve them and get correct answers that will match the answers provided.
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Using exponential functions, it is found that:
a) Since the <u>amount of caffeine will be less than 50 mg</u>, the patient will be ready for the blood test by 6 a.m.
b) The patient could have ingest 231 milligrams of caffeine.
A decaying <em>exponential function</em> is modeled by:

In which:
- A(0) is the initial value.
- r is the decay rate, as a decimal.
In this problem:
- Caffeine metabolize at a rate of 13% per hour, hence
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Then:



Item a:
The coffee cup contains 150 milligrams of caffeine, hence
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At 6 a.m., it is 8 hours after drinking the coffee, hence we have to find A(8).



Since the <u>amount of caffeine will be less than 50 mg</u>, the patient will be ready for the blood test by 6 a.m.
Item b:
This A(0), considering <u>A(11) = 50</u>, hence:



The patient could have ingest 231 milligrams of caffeine.
A similar problem is given at brainly.com/question/25537936
The y-intercept is where the curve crosses through the y axis (it intercepts it). In this case the y intercept would be worth three dollars at year 0. As years are time, and time is generally placed along the x axis.
Side BC is congruent to side DC. (That's what the hash marks mean.) Angle C is congruent with itself, and the right angles at B and D are all congruent.
Thus, you want to choose triangle names that show BC congruent to DC. The appropriate selection is the second one ...
∆ADC ≅ ∆EBC