There is a shop with old-style cash registers. Rather than scanning items and pulling the price from a database, the price of each item is typed in manually. This method sometimes leads to errors. Given a list of items and their correct prices, compare the prices to those entered when each item was sold. Determine the number of errors in selling prices.

There is no list of items and their correct and incorrect prices, thus actual and accurate answers cannot be determined.

Step-by-step explanation:

N.B: Since no list is given, accurate answers cannot be given.  

The typing of the bar codes or prices manually in order to determine the price, can lead to errors in the selling price. This can be detrimental for business since undercharging or overcharging can occur.

For example, the price of a dress was recorded as $30 while it should have been $39. The price of a t-shirt was correctly recorded as $10. The price of a pair of jeans was recorded as $25 instead of $23. There are 2 errors in the selling prices found in the above example about clothing items.   the dress is undercharged and the pair of jeans is overcharged.

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.