This can't be factored with rational numbers.
Angles ECD and CEF add to 180
40+140 = 180
So that means we have EF parallel to CD (due to the same side interior angle theorem)
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Angles BCE and ECD combine to 30+40 = 70, which is congruent to angle ABC = 70 as well.
In other words, this shows angle ABC = angle BCD. Both of these angles are alternate interior angles. Since they're congruent, they lead to AB being parallel to CD.
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So far we have
AB || CD
CD || EF
Using the transitive property, we can then link the two statements to say AB || EF. Think of a chain where CD is the common link. We go from AB to CD, then from CD to EF. So we can just take a single path from AB to EF.
It's like saying "P --> Q and Q --> R, therefore P --> R"
Answer: We should expect its actual return in any particular year to be between<u> -40%</u> and<u> 80%</u>.
Step-by-step explanation:
Given : The continuously compounded annual return on a stock is normally distributed with a mean 20% and standard deviation of 30%.
From normal z-table, the z-value corresponds to 95.44 confidence is 2.
Therefore , the interval limits for 95.44 confidence level will be :
Lower limit = Mean -2(Standard deviation) = 20% -2(30%)= 20%-60%=-40%
Upper limit = Mean +2(Standard deviation)=20% +2(30%)= 20%+60%=80%
Hence, we should expect its actual return in any particular year to be between<u> -40%</u> and<u> 80%</u>.
Rewriting input as fractions if necessary:
3/2, 3/8, 5/6, 3/1
For the denominators (2, 8, 6, 1) the least common multiple (LCM) is 24.
Therefore, the least common denominator (LCD) is 24.
Answer:
A
Step-by-step explanation:
when growth of plant is zero means x=0 then y=2(0)+5 = 5
