Susan is arranging coffee mugs on shelves in her shop. she wanta each shelf to have the same number of mugs. she only wants one color of mug on each shelf. if she has 49 blue and 56 red mugs, what is the greatest amount vshe can put one each shelf ? how many shelves does she need for each color?

This question belongs to greatest common factor.

49 = 7*7

56 = 7*8

So Greatest common factor = 7

Hence Susan can arrange 7 mugs on one shelf.

For 49 blue mugs, Susan can arrange 7 mugs in 7 shelves.

For 56 red mugs, Susan can arrange 7 mugs on 8 shelves.

Hence, 7 shelves are needed for BLUE mugs and 8 shelves are needed for RED mugs.

$450 is the answer.

step-by-step explanation:

30% of 450 = 135

450-135=315

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.