Five friends are standing in a circle and playing a game where they toss a ball of yarn to one another. if each person is connected by the yarn to each other person only once, how many lines of yarn will connect the group?

Arley is building a model of a city map. in one part of the city, three roads form a right triangle, which harley draws as triangle abc, with the following measures: m∠b=90° and m∠a=30°. in his scale model, the hypotenuse of triangle abc, ac¯¯¯¯¯¯¯¯, has a length of 817−−√ cm. what is the value of a (the length of bc¯¯¯¯¯¯¯¯)?

Select the sequences that are geometric.

Simplify. (-2)^-3 a. -8 b. -1/8 c. 1/8 d. 8