Jack and jim sign up with an online music store. jack chooses 15 downloads for $19.75, and jim chooses 40 downloads for $43.50. both amounts include a one-time registration fee, which is the same for each account, plus the fee for the number of downloads. what is the registration fee, and what is the cost of each download?
a. the registration fee is $5.50, and the cost per download is $0.95.
b. the registration fee is $3.50, and the cost per download is $1.00.
c. the registration fee is $2.50, and the cost per download is $0.85.
d. the registration fee is $4.75, and the cost per download is $1.00.

the correct answer is 5 6 and 7

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.