Discuss rigid transformations (reflections, rotations, translations) and the connection between these transformations and congruence. Show examples and include appropriate details when describing sequences of transformations that allow you to establish the fact that triangles are congruent.

Find the value of the variable and the length of each secant segment.

Cameron indoor stadium at duke university is one of the most revered sites in all of college basketball, as well as in all of sports period. duke’s men’s and women’s basketball programs have attained quite a few wins in the building over the last seventy years. cameron indoor stadium is capable of seating 9,460 people. for each game, the amount of money that the duke blue devils’ athletic program brings in as revenue is a function of the number of people in attendance. if each ticket costs $45.50, find the domain and range of this function.

7. the area of the playing surface at the olympic stadium in beijing isof a hectare. what area will it occupy on a plan drawn to a scaleof 1: 500?