Enrollment in a dance studio has grown exponentially since the studio opened. Below is a graph depicting this growth. Determine the average rate of change from x = 0 to x = 8. An exponential graph has time in years on the x axis and enrollments on the y axis. An upward rising curve begins at zero comma twenty and passes through eight comma one hundred and twenty.

120
0.08
20
12.5

Solve the given system of equations. 2y= -x+9 , 3x-6= -15

Quadrilateral abcd in the figure below represents a scaled-down model of a walkway around a historic site. quadrilateral efgh represents the actual walkway. abcd is similar to efgh. what is the total length, in feet of the actual walkway?

Given: lines a and b are parallel and line c is a transversal. prove: 2 is supplementary to 8 what is the missing reason in the proof? statement reason 1. a || b, is a transv 1. given 2. ∠6 ≅ ∠2 2. ? 3. m∠6 = m∠2 3. def. of congruent 4. ∠6 is supp. to ∠8 4. def. of linear pair 5. ∠2 is supp. to ∠8 5. congruent supplements theorem corresponding angles theorem alternate interior angles theorem vertical angles theorem alternate exterior angles theorem