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larisa86 [58]
3 years ago
10

Which expression gives the length of JK in the triangle shown below?

Geography
1 answer:
Ann [662]3 years ago
7 0
Perimeter = 3x. Area = x^2 * sqrt(3)/4. Explanation of area:. You can divide an equilateral triangle into 2 right triangles, each with a common side we will call y.. Area = area of first right triangle + area of second right triangle = (x/2)*y/2 + (x/2)*y/2 = xy/2. Now: y^2 + (x/2)^2 = x^2 so y…
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Each interior angle of a regular polygon is 150°. how many sides has the polygon​
olya-2409 [2.1K]

Given parameters:

Each interior angle  = 150°

Unknown:

The number of sides of this regular polygon = ?

Solution:

To find the sum of internal angles of a regular polygon, we use the expression below;

              (n - 2) x 180  = sum of internal angles of a polygon

n is the number of sides,

   Also, the sum of the internal angles of a polygon = number of sides x internal angles;

 So;

            (n-2) x 180 = 150 x n

 Solve for n;

           180n - 360 = 150n

           180n - 150n  = 360

                30n  = 360

                n = 12;

Therefore, the number of sides is 12

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Answer:

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