The winners of a carnival game draw a ticket from a box to determine their prize. each winner draws a ticket and places it back into the box before the next
draw. every winner has a 25% chance of getting cotton candy, a 29% chance of getting a shirt, and a 46% chance of getting a key chain.
the game operator wants to simulate what could happen for the next ten winners.
so for each winner, he generates a random whole number from 1 to 100.
he lets 1 to 25 represent a winner getting cotton candy, 26 to 54 a shirt, and 55 to 100 a key chain.

the image of (6, 9) under a dilation is (4, 6). the scale factor is

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.