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3 years ago

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Mathematics

1 answer:

SSSSS [86.1K]3 years ago

6 0

10. angle APB = (1/2) arc AB
   108 = (1/2) arc AB
   multiply both sides by 2 to clear the fraction
   216 = arc AB

11. Area of regular Octagon s = 5 in
   A = (P * apothem)/2 => => If you divide the octagon into 8 triangles, the apothem is the perpendicular height of the triangle.
   A = (5 * 8 * 6)/2
   A = 120 in^2

   Area of regular Hexagon s = 5 in
   A = (5 * 6 * 4.3)/2
      A = 129 in^2

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Step-by-step explanation:

The coordinates of the points from which the directed line segment extends = (-6, -6) to (9, -1)

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The formula for finding the coordinate of a point that partitions a line AB into a ratio 'a' to 'b', where the coordinates of, A = (x₁, y₁) and B = (x₂, y₂) is given as follows;

$\left(\dfrac{a}{a + b} \times (x_1 - x_2)+ x_1, \ \dfrac{a}{a + b} \times (y_1 - y_2)+ y_1 \right)$

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The coordinates of the point is (0, -4)

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