Ayo runs a fairground game. In each turn, a player rolls a fair dice numbered 1 - 6 and spins a fair spinner numbered 1 - 10. It costs a player £1.40 for a turn. A player can win £4 or £3 as in the diagrams: If 180 people are to play, how much profit can Ayo expect to make?

Explain step-by-step how to simplify -5(2x – 3y + 6z – 10).

An arithmetic series a consists of consecutive integers that are multiples of 4 what is the sum of the first 9 terms of this sequence if the first term is 0

Which of the following would be a correct step in proving that triangle abc is congruent to triangle cda? a. use a protractor to measure the angles and show that all the corresponding angles are equal in measure. this will allow you to prove congruence by aaa. b. show that segment ab is parallel to segment cd and segment ad is parallel to segment cb. this will allow you to prove congruency by asa. c. show that is segment ab is perpendicular to segment ad. this will allow you to prove congruence by sas. d. none of the above.