Lars works as a nurse and a lumberjack. he wants to work for at most 666 days this week, and he wants to earn more than \$950$950dollar sign, 950. n+l \leq 6n+l≤6n, plus, l, is less than or equal to, 6 represents the number of days lars can work as a nurse nnn and lumberjack lll in order to work at most 666 days this week. 216n+112l > 950216n+112l> 950216, n, plus, 112, l, is greater than, 950 represents the number of days lars can work as a nurse and a lumberjack to earn more than \$950$950dollar sign, 950. does lars meet both of his expectations by working as a nurse for 222 days and working as a lumberjack for 444 days?

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.

answer: the proof is mentioned below.

step-by-step explanation:

since, given:   lines bc = ef

prove:   lines ac > ef

          statements                                           reason

1. bc=ef                                           1. given

2. ac= ab+bc                                 2. because b is the point between the  

                                                            line segment ac

3.   ac > bc                                       3. because if a line segment is equal to

                                                          the sum of two line segments then it is

                                                          always greater then each of these

                                                          individual line segments

4. ac > ef                                         4. by equality property.