Really need math midpoint stuff point a is located at (4, 8) and point b is located at (14, 10) . what point partitions the directed line segment ab¯¯¯¯¯ into a 1: 3 ratio?

Abby is preparing fruit punch for her party. she starts with a bowl filled with liquid that has 1/2 fruit juice and 1/2 sprite, but she decides it's too fruity. so she pours out 1/4 of the liquid, and then fills the bowl up again with sprite. what fraction of the punch is now sprite?

One of the same side angles of two parallel lines is 20° smaller than the other one. find the measures of these two angles.

What are the digits that repeat in the smallest sequence of repeating digits in the decimal equivalent of 24/11?