Juanita wants to participate in a 20 kilometer bicycle race. she is considering two training programs below. program a: ride 10 kilometers on the first day and increase the distance by 500 meters each day. program b: ride 7,500 meters on the first day and increase the distance by an additional 0.75 kilometer each day. if juanita chooses program b, how many total kilometers will she ride in the first three days?

560

hope this : )

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.