Cal Ripken is a distinguished American baseball player who played 21 seasons in Major League Baseball for the Baltimore Orioles (1981-2001).Among his many achievements, the most important one is that he holds the record for playing in 2,632 consecutive games over more than 16 years. Suppose that, independently of other games, the probability is 0.005 (5 in 1000) that a baseball player cannot play a game due to illness, injury, family emergency, or other emergencies. What is the probability that a baseball player breaks Cal Ripken’s record?

what is the original number? you forgot to add it.

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.