Answer:
We need to demontrate
As you can see in the figure below, angle MJL is an inscribed angle for Circle M, that means we can use the inscribed angle theorem to demonstrate the proposition above.
<h3>Therorem.</h3><em>The angle formed by two intersecting chords with vertex on the circumference is equal to one-half of the intercepted arc.</em>
<em />
Notice that the theorem says a chord. However, a diameter is a chord by definition, because a chord is a segment that unites to points of the circumference, and a diameter does that too.
Therefore, based on the inscribed angle arc theorem, we have
Answer:
A) Sheri has the faster commute by 6.2 miles/hr.
Step-by-step explanation:
Given
John's commute to work
Sheri's commute to work
John's commute to work in miles per hour =
Sheri's commute to work in miles per hour =
We can see that Sheri has a faster commute.
Difference between the rates =
∴ Sheri has the faster commute by 6.2 miles/hr.
Answer:
<h2>Option A is the answer(here the answer is calculated taking the whole value, without approximating it to a nearest value)</h2>Step-by-step explanation:
Annual interest rate is 2.75%. Hence, the monthly interest rate is
The amount will be compounded times.
Every month they deposits $500.
In the first month that deposited $500 will be compounded 240 times.
It will be
In the second month $500 will be deposited again, this time it will be compounded 239 times.
It will give
Hence, the total after 20 years will be
