A new postsurgical treatment was compared with a standard treatment. Eight subjects received the new treatment, while eight others (the controls) received the standard treatment. The recovery times, in days, are given below.

New Treatment Standard
12 18
13 23
15 24
19 30
20 32
21 35
24 39

Can you conclude that the mean recovery time for those receiving the new treatment differs from the mean for those receiving the standard treatment.

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.

there should be an link icon on the bottom of the text box you get. it looks like a paperclip!

-3(b-8)-5=9(b+2)+1

distribute

-3b+24-5=9b+18+1

add/ subtract

-3b+20=9b+19

20-19= 1

-3b+1=9b

9b+3b= 12b

1=12b

1 divided by 12 = 1/12

answer: 1/12 = b