Amir is operating a machine that adds sand to a concrete mixture. the machine adds 1/10 ton of sand to the mixture in 4/5 minute. enter a number in each box to complete the statements. write the ratio that compares 1/10 ton of sand to 4/5 minute. the ratio in ton(s) per minute(s) is $$ . simplify the ratio to find the amount of sand added in one minute. ton(s) per minute

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.

6e14 is the answer.