The CoffeeShop is creating a new blend of coffee. Coffee A sells for $5 per pound. Coffee B sells for $9 per pound. The
CoffeeShop will mix 20 pounds of the new blend and sell it for $6
per pound. The following equations represent the problem of
keeping the cost of the blend consistent with the ingredients.
a + b = 20
5a + 9b = 120
a = pounds of Coffee A and b = pounds of Coffee B
How many pounds of Coffee B should be used in the blend?

1

step-by-step explanation:

it's the only multiple of both and the least

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.