As Armen had no enough money to buy a computer, his mother gave him the rest 3/8 of the total amount. In the store Armen noticed that due to the sale, he had one tenth of the original amount more than was needed. What part of the current price did Armen initially own ?

Step-by-step explanation:

Let $x be the original price of the computer.

As Armen had no enough money to buy a computer, his mother gave him the rest of the total amount that is Hence, Armen initially had

Now, in total (with money his mother gave him) Armen had $x.

Armen noticed that due to the sale, he had one tenth of the original amount more than was needed. So, Arment had more.

Then the current price is

To find what part of the current price did Armen initially own just divide Armen's amount by current price:

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.