Points Paul needs 27 plants to fill his garden and has $99 to spend. Lilies cost $5 each and tulips cost $2 each. Which
system represents the number of lilies (1) and tulips (t)
Paul can buy?

Given that , Paul needs 27 plants to fill his garden and has $99 to spend. Lilies cost $5 each and tulips cost $2 each.

Now we need to find which set of linear equations represent the above situation. So ,

Sum of number of lilies and tulips is 27 .

Now , cost of each lily is $5 and tulip is $2 . And he has $99 in total . So ,

Hence we can see that our ans matches with option (a) which is ,

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.