The rehearsal for act 1 and 2 of the school play lasted 5 1/2 hours. If 3 3/4 hours were spent rehearsing act 1, how much time was spent practicing act 2 ?

1 3/4 hours

Step-by-step explanation:

Given the time taken to rehearse for act 1 and 2 of a school play to be 5 1/2 hours, if 3 3/4 were spent rehearsing act 1, the amount of time that will be spent in rehearsing act 2 can simply be gotten by taken the difference between the total time taken for both and time spent on act 1.

Mathematically, act1 + act 2 = 5 1/2 hours

If act 1 = 3 3/4 hours

act 2 =  5 1/2 hours - act 1

act 2 =  5 1/2 hours - 3 3/4 hours

Taking the difference between the two values;

= 5 1/2 - 3 3/4

= 11/2 - 15/4

= (22-15)/4

= 7/4 hours

The time taken for practising act 2 will be 1 3/4 hours

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.