Aplane that carries mail makes a round trip each day from chicago to new york. it makes 2 intermediate stops on the way to new york and 1 intermediate stop on the way back to chicago. suppose you make a graph of the altitude of the plane for one day, with time on the horizontal axis and altitude on the vertical axis. how many times will the graph touch the horizontal axis?

The correct answer is:

6 times.

Explanation:

When the graph hits the horizontal axis, this means the y-value, in this case the altitude, is 0.  This will happen at take-off and when the plane lands on the return trip.

The plane will also have an altitude of 0 at the two intermediate stops from Chicago to New York.  This makes 2+2 = 4.

The plane will also have an altitude of 0 when it lands in New York as well as the one intermediate stop from New York to Chicago.  This makes 4+2 = 6.

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.