To find the y-intercept, set x = 0. The equation becomes -4y = 12, thus y = -3. The y-intercept is (0, -3).

The slope m is calculated as (6-2)/(3-1) = 4/2 = 2.

The sum of the interior angles of a pentagon is 540 degrees. If one angle is 120 degrees, the sum of the other four angles must be 540 - 120 = 420 degrees.

The measure of each interior angle in a regular polygon is given by the formula [(n-2) * 180] / n. For a decagon (n=10), it is [(10-2) * 180] / 10 = 144 degrees.

The measure of each interior angle in a regular polygon can be calculated using the formula [(n-2) * 180] / n. For n=10, it is 144 degrees.

The number of diagonals that can be drawn from one vertex of an n-sided polygon is given by (n-3). For a dodecagon (12-sided polygon), it is 12-3 = 9.

The measure of each exterior angle of a regular polygon is calculated as 360/n, where n is the number of sides. For a dodecagon (12 sides), it is 360/12 = 30 degrees.

The measure of each exterior angle of a regular polygon can be calculated using the formula 360/n, where n is the number of sides. For a dodecagon (12 sides), it is 360/12 = 30 degrees.

Using the formula n(n-3)/2, for an octagon (n=8), the number of diagonals is 8(8-3)/2 = 20.

The measure of each interior angle of a regular polygon can be calculated using the formula [(n-2) * 180] / n. For an octagon (n=8), it is [(8-2) * 180] / 8 = 135 degrees.

The sum of the interior angles of an octagon (8-sided polygon) is calculated using the formula (n-2) * 180, which gives (8-2) * 180 = 1080 degrees.

The sum of the angles in a quadrilateral is 360 degrees. If one angle is 120 degrees, the remaining angles must sum to 240 degrees. If the other three angles are equal, each must be 240/3 = 80 degrees.

A quadrilateral with two opposite angles measuring 90 degrees is a rectangle.

A quadrilateral with one pair of opposite sides that are equal and parallel is classified as a trapezium.

A quadrilateral with one pair of opposite sides that are equal and parallel is a parallelogram.

A quadrilateral with one pair of opposite sides that are both parallel and equal is a parallelogram.

A quadrilateral with one pair of opposite sides that are both parallel and equal is a parallelogram.

A quadrilateral with one pair of parallel sides is classified as a trapezium.

A quadrilateral with one pair of parallel sides is classified as a trapezium.

A quadrilateral with one pair of parallel sides is classified as a trapezium.

A quadrilateral with two pairs of parallel sides is classified as a parallelogram.

A quadrilateral that is both a rectangle and a rhombus is called a square.

The volume of a sphere is given by V = (4/3)πr³. Setting (4/3)πr³ = 288π, we find r³ = 216, thus r = 6 cm.

This triangle satisfies the Pythagorean theorem (5² + 12² = 13²), thus it is a right triangle.

Let angle B be x. Then angle A = 3x. Since they are supplementary, x + 3x = 180, leading to 4x = 180, so x = 45. Therefore, angle A = 3 * 45 = 135 degrees.

Supplementary angles sum up to 180 degrees. Therefore, angle B = 180 - 45 = 135 degrees.

Supplementary angles sum to 180 degrees. Therefore, angle B = 180 - 75 = 105 degrees.

By definition, supplementary angles add up to 180 degrees.

The complement of an angle is found by subtracting it from 90 degrees. Thus, angle B = 90 - 30 = 60 degrees.

Let the angles be 2x, 3x, and 4x. The sum of angles in a triangle is 180 degrees. Therefore, 2x + 3x + 4x = 180. Solving gives x = 20, so the largest angle is 4x = 80 degrees.