What is the minimum number of students, each of whom comes from one of the 50 states, who must be enrolled in a university to guarantee that there are at least 105 who come from the same state?

5,250 Enrolled Students

Step-by-step explanation:

As there are 50 states, and we need to ensure that out of the total enrolled students, atleast 105 students come from the same state.

The minimum possible number of students who are enrolled at the university must be as follows:

Minumum number of enrolled students = number of states x least number of students from same state

Where:

Number of states = 50

Least number of students from same state = 105

Therefore:

Minumum number of enrolled students = 50 x 105 = 5,250 Enrolled Students

step-by-step explanation:

ok one would be money, and the other would be refreshments or something similar. if each bag of popcorn is 5.00 and each drink is half of that that means drinks are 2.50 the proper way to do that would to look and see how much of each you can buy without exceeding a limit of 30.00

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.