
MathA pair of solids are called similar when they have the same shape and their corresponding linear measures are proportional. The ratio that compares the sizes is called the scale factor, and it is...

Math1 Write the following proof. Given: a parallel to b, a perpendicular to c, and b perpendicular... (1 image)In the problem it is given that line a is parallel to line b, line a is perpendicular to line c and line b is perpendicular to line d. As line a is perpendicular to line c, the angle marked in the...

MathLabel the vertices A:(2,9);B:(3,0) and C(1,3). To find the perimeter of the triangle we find the lengths of each of the sides. To find the length, use the distance formula: between points...

MathThe general formula for the area of a regular polygon is: Area=`(Apothem*Perimeter)/2` where the apothem is a line segment between the center and one of its sides and the perimeter is the sum of...

MathWe are starting with a square, which means all four of the sides of equal in length. We are told that each side of the field is 120 yards. Since there are 3 feet in 1 yard, this is equal to...

MathThe volume of an oblique cone with equal diameter and height `x` is `18pi` cubic cm. Find the... (1 image)The volume of a cone, oblique or right circular is computed using the formula V = 1/3 x area of base x height (this can be proved using calculus  a cone is a solid of revolution, or Cavalieri's...

GeometryIn the diagram, triangle ABC is inscribed in the circle and FEG is a tangent to the circle at E... (1 image)To Prove: `Delta FBE` is isosceles FE=EC (given) `therefore /_ BFE = /_ BCE` (isosceles triangle FCE) Note that F is an extension of CB In circle BACE angle BAE=angle BCE(arc BE subtends...

MathSince the line AB subtends a right angle at the origin (0,0), then an instance of the pair (A,B) is any of the pairs of points (there are four possible pairs in fact) where the curve (a...

GeometryIsosceles means having two sides of equal length, because a triangle with two out of its three sides the same length is an isosceles triangle. Triangles have three sides (tri=3) and three angles....
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