Nathan rolls a number cube and records the result of each roll in the table. Number Cube
Number Rolled
Frequency
1
11
2
16
3
14
4
20
5
12
6
17

Which statements below represent the situation? Select three options.
The relative frequency of rolling a 4 is StartFraction 2 over 9 EndFraction.
The experimental probability of rolling a 3 is greater than the theoretical probability of rolling a 3.
The experimental probability of rolling a 2 is greater than the theoretical probability of rolling a 2.
The relative frequency of rolling a 5 is StartFraction 2 over 13 EndFraction.
The experimental probability of rolling a 1 is less than the experimental probability of rolling a 6.

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.