Achild has 48 quarters and 80 dimes. the child wishes to stack the coins so that each stack has the same number of coins, and each stack contains only one kind of coin. what is the
largest number of coins that the child can place in each stack?

Since the greatest common factor for 48 and 80 is 16 then we conclude the largest number of stack is 16

3: 2

step-by-step explanation:

shorter piece is 2: 3, so just reverse it, and you get 3: 2

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.