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Murljashka [212]
3 years ago
7

If the difference between the exterior angle of a n sided regular polygon and an (n 1) sided regular polygon is 12. find the val

ue of n.
Mathematics
1 answer:
Ann [662]3 years ago
4 0
Sum of exterior angle of a polygon is 360°
An n-sided polygon has n equal exterior angles.

360/n - 360/(n + 1) = 12
360(n + 1) - 360n = 12n(n + 1)
12n^2 + 12n = 360
n^2 + n - 30 = 0
(n - 5)(n + 6) = 0
n = 5 or n = -6

Therefore, n = 5
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Algebraically solve the system of equations shown below. Note that you can use either factoring or the quadratic formula to find
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6x^2+19x-15=-12x+15\\
6x^2+31x-30=0\\
6x^2+36x-5x-30=0\\
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y=-12\cdot\frac{5}{6} +15\vee y=-12\cdot(-6)+15\\
y=-10 +15\vee y=72+15\\
y=5 \vee y=87\\\\
x=\frac{5}{6} \wedge y=5\\
x=-6 \wedge y=87
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3 years ago
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Answer:

Step-by-step explanation:

Population(pop) = 800,000 people

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Pop growth in a year= ((100+7)÷100) × 800000 =856000people

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4 0
3 years ago
A right triangle has the hypotenuse c = 12 cm and an angle A = 30°. Find the length of side a, which is opposite angle A. A. 7.4
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<span>On the one hand we know that sin(30) = 1/2. On the other hand we know that sin(A) = a/c. From these two relations we obtain that 1/2 = a/c <=> 1/2 = a/12 <=> a = 12*1/2 <=> a = 6. So the answer is D. 6cm.</span>
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Can you send a picture?
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Answer:$344

1/5 of 400 is 80 so if you subtract that it would be $320
1/50 of $400 is 8 so if you multiply that by 3,3/50 of $400 is(8*3)24 so $320+$24=$344
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