Answer:
The following measurements are:
(Option #4)
(Option #7)
(Option #5)
(Option #2)
Step-by-step explanation:
To begin, we can find the measure of
by applying the inscribed angle theorem: an angle θ inscribed in a circle is half of the central angle 2θ that subtends the same arc on the circle.
Since the intercepted arc (RS) is 46 degrees, we have:

Next, we can find the measure of arc QT using the same theorem. So,

Notice that the chord RT is actually a diameter. From the theorem about the inscribed angle including a diameter, we know that the intercepted arc will have a measure of
. Since the arc ST is part of the arc RST, and we know RS is
, we can set up and solve this equation:

We can use the same idea to find RQ. We know that RQT is
and QT is
, so:

Answer: He bought about 6 sodas.
Step-by-step explanation:
Given: Tota cost of tickets = $ 78
Cost of each soda = $4.25
Total cost of sodas and tickets = 102.50
Let x = Number of sodas purchased
Then

Hence, he bought about 6 sodas.
Answer:
$385,628
Depreciation = ($2,000,000 - $250,000)/10 = $175,000
$175,000 x .39 = $68250 tax savings each period.
Across the entire project, these savings will constitute a 10 period annuity.
Pmt = 68,250, FV = 0, I = 12, N = 10, PV = 385,627.72
Step-by-step explanation:
Answer:
503.8
Step-by-step explanation:
You need to find the tenths digit which would be the 7. The number after is 8, which rounds up, making the 7 an 8