Apples are on sale for $3.12 per kilogram. is the total cost of the apples proportional to the total mass?

Yes

Tc = 3.12m

Therefore, total cost of apple is directly proportional to the total mass with a proportionality constant of 3.12.

Step-by-step explanation:

The total cost of the apples is proportional to the total mass. The product of the mass and the cost per mass ($3.12) gives the total cost.

It can be shown using the equation below

Tc = c×m

Where Tc = total cost

c = cost per unit mass

m = total mass in kilogram

Tc = 3.12m

Therefore, total cost of apple is directly proportional to the total mass with a proportionality constant of 3.12.

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.