At Gatech there are 30 students and 4 awards in chemistry, english, math and physics. i) Assume that a student can have at most one award. How many possible selections for the 4 awards? ii) Assume now that a student can have at most two awards. How many possible selections for the 4 awards ? iii) Assume now that a student can have at most 3 awards. How many possible selections are the 4 awards?

1 and 2

step-by-step explanation:

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.

definitely a. the others have almost all data points on one side of the line.

step-by-step explanation:

answer: y=0 if that is what u r looking for