Each square of a 9x9 checkerboard is initially slept on by one of the 81 CSE 312 students. At noon, each student will wake up and randomly sleepwalk to a valid adjacent square horizontally or vertically (but not diagonally). Argue that the probability that two or more students end up on the same square is 1.

solution:

we have to construct

∠m nt ≅ ∠p qr

the steps to draw this construction are

step 1: use a compass to draw an arc from point q which intersects the side pq at point a and the side qr at point b.

step 2: draw a segment nt and use the same width of the compass to draw an arc from point n which intersects the segment nt at a point x.

step 3:

step 4: join points n and y using a straightedge.

step 3:

option (d).maintaining the same width of the compass as ab, draw an arc from point x such that it intersects the arc drawn from n in a point y.

to draw   congruent angles , 1. width of compasses while drawing two angles should be same i.e from point at which angle has to be drawn, 2.the distance between the two points where the compass intersects the two sides should be same while drawing any two congruent angles.

ur right ive taken the test

step-by-step explanation:

4+3x is the answer

hope you got it