An investment of $125,000 was made by a business club. the investment was split into three parts and lasted for one year. the first part of the investment earned 8% interest, the second 6%, and the third 9%. total interest from the investments was $9090. the interest from the first investment was 2 times the interest from the second. find the amounts of the three parts of the investment.

the answer is b.)

< 1=< 2

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.