Determine the rigid transformations that will map δabc to δxyz.

a. translate vertex b to vertex z; reflect δabc across side ab.
b. translate vertex x to vertex c; rotate δxyz to align the sides and angles.
c. reflect δabc across side ab; translate vertex c to vertex x.
d. translate vertex x to vertex a; rotate δxyz to align the sides and angles.

Ariana starts with 100 milligrams of a radioactive substance. the amount of the substance decreases by 20% each week for a number of weeks, w. the expression 100(1−0.2)w finds the amount of radioactive substance remaining after w weeks. which statement about this expression is true? a) it is the difference between the initial amount and the percent decrease. b) it is the difference between the initial amount and the decay factor after w weeks. c) it is the initial amount raised to the decay factor after w weeks. d) it is the product of the initial amount and the decay factor after w weeks.