In the diagram of circle O, tangent PB is drawn as is secant PAC. We wish to prove the Secant/Tangent Length Theorem, i. e. PA x PC = PB^2. (a) Explain why PAB is similar to ΔPBC (i. e. explain which two angles pairs must be congruent and why).
(b) Set up a proportion involving PA, PB, PC, and based on the similar triangles and rewrite it in product form. Draw the two similar triangles separately and in the same orientation to help.

Ascientist has 50 grams of a radioactive element. the amount of radioactive element remaining after t days can be determined using the equation (1) after two days the scientist receives a second shipment of 50 grams of the same element. the equation used to represent the amount of shipment 2 remaining after t days is 10) - 50 which of the following is an equivalent form of the expression for the amount remaining in shipment 2? what’s the answer?