A regular polygon is drawn in a circle so that each vertex is on the circle
Each of the central angles has a measure of 40
360 / 40 = 9
so the polygon has 9 sides
Answer is the second option
9
Answer:
Step-by-step explanation:
1) The center lies on the vertical line x = -5 and the the circle is tangent to (touches in one place only) the y-axis. Thus, the radius is 5.
2) Starting with (x - h)^2 + (y - k)^2 = r^2 and comparing this to the given
(x - 4)^2 + (y + 3)^2 = 6^2
we see that h = 4, k = -3 and r = 6. The center is at (4, -3) and the radius is 6.
3) Notice that A and B have the same x-coordinate, x = 15. The center of the circle is thus (15, -2), where that -2 is the halfway point between the two given points in the vertical direction. Arbitrarily choose A(15, 4) as one point on the circle. Then the equation of this circle is
(x - 4)^2 + (y + 3)^2 = r^2 = 6^2, where the 6 is one half of the vertical distance between A(15, 4) and B(15, -8) (which is 12).
36.89 total divided by the 8.6 gallons he bought = 4.2 so the price per gallon would be $4.20
Hello there!
Answer: ⇒ C. -30
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Step-by-step explanation:
First you had to remove parenthesis.
Then you multiply by the number.
Apply absolute value.
Again apply absolute value.
Simplify it's should be the correct answer.
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Hope this helps!
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Have a great day!
-Charlie
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