Offering 20 points(not a lot i know but i need quick )
zoologists are studying two newly discovered species of insects in a previously unexplored section of rain forest. they estimate the current population of insect a to be 1.3 million and the current population of insect b to be 2.1 million. as development is encroaching on the section of rain forest where these insects live, the zoologists estimate the populations of insect a to be reducing at a rate of 3.8% and insect b to be reducing at a rate of 4.6%.
if p represents the population of each species of insect in millions, and t represents the elapsed time in years, then which of the following systems of equations can be used to determine how long it will be before the populations of the two species are equal?

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.

0

step-by-step explanation:

equals the constant of proportionality.

solve for