Answer:
Step-by-step explanation:
Here
82 degrees and 98 degrees
First, find the original equation
180 = (x) + (x + 16)
Simplify: 180 = 2x + 16
Next, use the subtraction property of equality to subtract 16 from both sides
180 - 16 = 2x + 16 - 16
Simplify: 164 = 2x
Then, you can use the division property of equality to find the value of x
164/2 = 2x/2
Simplify: 82 = x
Now, we know that the first angle equals 82 degrees and that the second angle equals 98 degrees
Answer:
50%
Step-by-step explanation:
if you look below girls (in total) bought 100 pepsi colas and thats half of the total (200)
The answer choices are sufficiently far apart that you can work this backward. The sum will be ...
236,196*(1 + 1/3 + 1/9 + 1/27 + ...)
so a reasonable estimate can be given by an infinite series with a common ratio of 1/3. That sum is
236,196*(1/(1 - 1/3)) = 236,196*(3/2)
Without doing any detailed calculation, you know the best answer choice is ...
354,292
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There are log(236196/4)/log(3) + 1 = 11 terms* in the series, so the sum will be found to be 4(3^11 -1)/(3-1) = 2*(3^11-1) = 354,292.
Using the above approach (working backward from the last term), the sum will be 236,196*(1-(1/3)^11)/(1-(1/3)) = 236,196*1.49999153246 = 354,292
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* If you just compute log(236196/4)/log(3) = 10 terms, then your sum comes out 118,096--a tempting choice. However, you must realize that the last term is larger than this, so this will not be the sum. (In fact, the sum is this value added to the last term.)
