:karl prepared 12 liters of juice after working 2 hours. how much juice did karl prepare if he worked for 5 hours? solve using unit rates.

Karl prepared 30 liters in 5 hours

Step-by-step explanation:

The total amount of juice Karl prepares per unit time can be expressed;

T=U×h

where;

T=total number of liters of juice prepared

U=number of liters prepared per unit time

h=number of working hours

In our case;

T=12 liters

U=U

h=2 hours

replacing;

12=U×2

2 U=12

U=12/2

U=6 liters per hour

The unit rate=6 liters per hour

Solving for 5 hours

Total quantity of juice prepared=Unit rate×number of hours worked

where;

Unit rate=6 liters per hour

Number of hours worked=5 hours

replacing;

Total quantity of juice prepared=(6×5)=30 liters

Karl prepared 30 liters in 5 hours

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.