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VARVARA [1.3K]
3 years ago
7

The interior angle of a regular polygon is five times its corresponding exterior angle. Find the

Mathematics
1 answer:
tiny-mole [99]3 years ago
6 0

Answer:

12

Step-by-step explanation:

Regular polygon is one in which each angle and sides is congruent.

Sum of all the exterior angles of any polygon is 360.

Sum of all the  interior angles of any polygon is (2n-4)*90

where is n is the no. of sides of polygon.

Let n be the no. of sides of polygon required

Therefore,

Sum of all the  interior angles of  polygon = (2n-4)*90

since no of sides of polygon is n

therefore, value of each  interior angles of the polygon = (2n-4)*90/n  (A)

Sum of all the exterior angles of any polygon = 360.

value of each  exterior angles of the polygon = 360/n  (B)

Given that

The interior angle of a regular polygon is five times its corresponding exterior angle   (c)

using the statement A, B and C

(2n-4)*90/n = 5*360/n

1/n is common on both side, hence it gets cancelled.

(2n-4)*90 = 5*360

=> (2n-4) = 5*360 /90 = 20

=> 2n = 20+4 = 24

=> n = 24/2 = 12.

the  number of sides of the polygon is 12

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Answer:

d: 15 units squared

Step-by-step explanation:

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2 years ago
Evaluate the function at the indicated values. f(x)= 6x^2+ 5x -12
seropon [69]

Step-by-step explanation:

We need to find the value of the function at the indicated value.

f(x)= 6x^2+ 5x -12

Indicated values are : f(-7), f(0), f(6), f(7)

To find f(-7), put x = -7 in the given function

f(-7)= 6(-7)^2+ 5(-7) -12=247

To find f(0), put x = 0 in the given function

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f(6)= 6(6)^2+ 5(6) -12=234

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f(7)= 6(7)^2+ 5(7) -12=317

Hence, this is the required solution.

8 0
3 years ago
Bill wants to rent a car.Rental Company A charges $35 per day plus $0.10 per mile driven.Rental Company B charges $25 per day pl
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Answer:

m = 200 miles

Step-by-step explanation:

Rental Co. A:  A(m) = $35 + ($0.10/mile)(m), where m is the number of miles driven

Rental Co. B:  B(m) = $25 + ($0.15/mile)(m)

Set these two dollar amounts equal to each other and solve for m:

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($0.05/mile)m = $10; then m = ($10) / ($0.05/mile), or 200 miles.

The price charged by the two companies would be the same when the car has been driven 200 miles.

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Step-by-step explanation:

Since all 3 sides of the triangle is equal, it is not only an isosceles, but an equilateral triangle.

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If you help me get this right i will give you brainly, and 5 stars! tysm
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Answer:

1.a

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Step-by-step explanation:

The first column is the domain, while the second column is the range. Therefore, 1 is a, and 2 is b. Hope this helps!

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