Omar and Meg just had business cards made. Omar's printing company charged a one-time setup fee of $5 and then $5 per box of cards. Meg, meanwhile, ordered hers online. They cost $4 per box. There was no setup fee, but she had to pay $10 to have her order shipped to her house. By coincidence, Omar and Meg ended up spending the same amount on their business cards. How many boxes of business cards did each buy?

5 boxes each

Step-by-step explanation:

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.