As part of a geometric design, Ariel draws a rhombus. She rotates the rhombus 180° around one of its vertices, then dilates the rhombus by a factor of 2. Which describes
the relationship between the original rhombus and its image after the rotation and
dilation?
A. The two figures are neither similar nor congruent,
B The two figures are similar, but not congruent.
C. The two figures are not similar, but are congruent,
D. The two figures are both similar and congruent.

When is g(x) = 0 for the function g(x) = 5.23x + 4?

3. a sum of $2700 is to be given in the form of 63 prizes. if the prize is of either $100 or $25, find the number of prizes of each type.

Abucket of paint has spilled on a tile floor. the paint flow can be expressed with the function p(t) = 6(t), where t represents time in minutes and p represents how far the paint is spreading. the flowing paint is creating a circular pattern on the tile. the area of the pattern can be expressed as a(p) = 3.14(p)^2 part a: find the area of the circle of spilled paint as a function of time, or a[p(t)]. show your work. part b: how large is the area of spilled paint after 8 minutes? you may use 3.14 to approximate pi in this problem.