Find the sum of the interior angle measures of a convex 15-gon (a fifteen-sided polygon).
1 answer:
Answer:
2340 degrees.
Step-by-step explanation:
The sum of the interior angle measures of any polygon can be calculated using the following expression ( is the number of sides the polygon has):
For a 15-sided polygon, plug in 15 for n and simplify:
Multiply to solve:
For a 15-sided polygon, the sum of the interior angles must be 2340 degrees. You can go a step further and divide 2340 by 15 to figure out the individual measure of each interior angle (156 degrees).
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once you simplifiy all the numbers.
In the first equation we have
In the second,
Answer:
x is equal to negative one, and y is equal to negative four.
Step-by-step explanation:
You can do this by solving one of the equations by either x or y, then substituting it into the other. Let's solve the second one for y:
Now we'll substitute that into the first equation:
So we now know that x is equal to -1. We can simply substitute that into one of the original equations to find y:
We now know that x is equal to -1, and y is equal to -4. We can also check our answer by plugging that -4 into the other equation, and see if we still get -1:
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Answer: a) $135,838.21 b) $46,130.05
<u>Step-by-step explanation:</u>
- A: accrued amount (balance)
- P: principal (initial amount invested)
- r: interest rate (in decimal form)
- t: time
(a) Given:
- A = 400,000
- P = unknown
- r = 12% = 0.12
- t = 9
(b) Given:
- A = 400,000
- P = unknown
- r = 12% = 0.12
- t = 18