Two parallel lines are intersected by a transversal. prove that the angle bisectors of alternate interior angles are parallel. pls asap

Consider a cube that has sides of length l. now consider putting the largest sphere you can inside this cube without any point on the sphere lying outside of the cube. the volume ratio -volume of the sphere/ volume of the cube is 1. 5.2 × 10−1 2. 3.8 × 10−1 3. 1.9 4. 2.5 × 10−1 5. 3.8

Find the slope of the line passing through a pair of points

Rewrite the following quadratic functions in intercept or factored form. show your work. y = 5x^2 + 10x