Need some help with this question in my math class
1 answer:
Answer:
<u>m∠CAD is 100°</u>
Step-by-step explanation:
The angles of a triangle always add up to 180 degrees.
Add...
100+x=180
Subtract 100 from each side...
x=80°
m∠CAB=80
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A line is always 180°... line DB consists of m∠CAB (just solved) and m∠CAD (which the answer asks)
m∠CAB+m∠CAD=DB
Substitute in the information we have.
80°+m∠CAD=180°
Subtract 80 from both sides...
<u>m∠CAD is 100°</u>
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I hope my answer makes sense to you! :)
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Consider the missing part of the question is "Select the correct statement.
A. The number of employees is increasing by 50% every year.
B. The number of employees is decreasing by 10% every year.
C. The number of employees is decreasing by 90% every year.
D. The number of employees is increasing by 90% every year."
Given:
The function is:
Where, f(t) is the number of employees working at a company, in thousands and t is the number of years since the company revised the benefits package.
To find:
The correct statement from the given options.
Solution:
The general exponential decay model is:
...(i)
Where, a is the initial value, r is the rate of decay and t is the number of years.
We have,
It can be written as
...(ii)
From (i) and (ii), we get
The initial value is 1.5 and the rate of decay is 0.10 or 10%. It means the number of employees is decreasing by 10% every year.
Therefore, the correct option is B.