1. consider the following game, called matching pennies, which you are playing with a friend. each of you has a penny hidden in your hand, facing either heads up or tails up (you know which way the one in your hand is facing). on the count of "three," you simultaneously show your pennies to each other. if the face-up side of your coin matches the face-up side of your friend’s coin, you get to keep the two pennies. if the faces do not match, your friend gets to keep the pennies. (lo1) a. who are the players in this game? what are each player’s strategies? construct a payoff matrix for the game. b. does either player have a dominant strategy? if so, what? c. is there an equilibrium? if so, what? frank, robert. principles of microeconomics (p. 259). mcgraw-hill higher education. kindle edition.

What is the perimeter of a rectangular building that is 80 feet wide and 140 feet deep?

David is spreading mulch on a triangular area of his flower bed. the coordinates of the vertices of the area are (1, 3), (9, 3), and (4, 6). what is the area of the triangle if each square has an area of 3 square feet?

In δabc shown below, ∠bac is congruent to ∠bca: triangle abc, where angles a and c are congruent given: base ∠bac and ∠acb are congruent. prove: δabc is an isosceles triangle. when completed (fill in the blanks), the following paragraph proves that line segment ab is congruent to line segment bc making δabc an isosceles triangle. (4 points) construct a perpendicular bisector from point b to line segment ac . label the point of intersection between this perpendicular bisector and line segment ac as point d: m∠bda and m∠bdc is 90° by the definition of a perpendicular bisector. ∠bda is congruent to ∠bdc by the definition of congruent angles. line segment ad is congruent to line segment dc by by the definition of a perpendicular bisector. δbad is congruent to δbcd by the line segment ab is congruent to line segment bc because consequently, δabc is isosceles by definition of an isosceles triangle. 1. corresponding parts of congruent triangles are congruent (cpctc) 2. the definition of a perpendicular bisector 1. the definition of a perpendicular bisector 2. the definition of congruent angles 1. the definition of congruent angles 2. the definition of a perpendicular bisector 1. angle-side-angle (asa) postulate 2. corresponding parts of congruent triangles are congruent (cpctc)