The following function describes the number of employees working at a company, in thousands, where trepresents the number of employees working at a company, in thousands, where t represents the number of years since the company revised the benefits package F(t)=1.5(0.90)^t

A. the Number of employees is decreasing by 10% every year
B. The number of employees is increasing by 90% every year
C. The number of employees is decreasing by 90% every year
D. The number of employees is increasing by 50% every year

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.