In the accompanying diagram of circle O, diameter AOB is drawn, tangent CB is drawn to the circle at B, E is a point on the circle, and BE  ADC. and BD are drawn. Prove that ACD ≅ BDC. Prove: ABE ∼ CAB

What is the result of adding the system of equations? 2x+y=4 3x-y=6

Boris needs to buy plastic spoons. brand a has a box 42 spoons for $2.37. brand b has a box of 72 spoons for $3.57. find the unit price for each brand. then state which brand is the better buy based on the unit price. round your answer to the nearest cent.

Elizabeth claims that the fourth root of 2 can be expressed as 2^m since (2^m)^n = 2. find the values of m and n for the case where elizabeth's claim is true.