Nick surveyed a random sample of the freshman class of his high school to determine whether the
fall festival should be held in october or november. of the 85 students surveyed, 33.2% preferred
october. based on this information, about how many students in the entire 275-person class would
be expected to prefer having the fall festival in october?

91

Step-by-step explanation:

33.2 percent of a 275 person class is 91.3, and yoy round down because you can't have 0.3 of a person

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.