Madelyn has a home-based business making and selling scented soaps. She intially spent $52 to purchase soap-making equipment, and the materials for each kilogram of soap cost $12. Madelyn sells the soap for $25 per kilogram. Eventually, she will sell enough soap to cover the cost of the equipment. What will be Madelyn's total sales and costs be? How much soap will that be?

At school there are 526 students and 263 are girls about how likely is it that a randomly chosen student will be a boy

Find the measure of the interior angles of the following regular polygons: a triangle, a quadrilateral, a pentagon, an octagon, a decagon, a 30-gon, a 50-gon, and a 100-gon.

If m∠abc = 70°, what is m∠abd? justify your reasoning.  using the addition property of equality, 40 + 70 = 110, so m∠abd = 110°.  using the subtraction property of equality, 70 − 30 = 40, so m∠abd = 30°.  using the angle addition postulate, 40 + m∠abd = 70. so, m∠abd = 30° using the subtraction property of equality.  using the angle addition postulate, 40 + 70 = m∠abd. so, m∠abd = 110° using the addition property of equality.