Which system of equations below has exactly one solution? y = –8x – 6 and y = –8x + 6 y = –8x – 6 and 1/2 = –4x – 3 y = –8x – 6 and y = 8x – 6 y = –8x – 6 and –y = 8x + 6

answer:

2 or 3

step-by-step explanation:

in y = -8x - 6 and y = -4x - 3, since the slopes aren't the same, we know that this is the answer. but, the thir one also has slopes that are different, meaning that the answer is two and three.

where are the choices?

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.