Abarrel contained 60 gallons of water. water leaked out of the barrel at a rate of 5 gallons every 3 days. how may day would it take to run out of water if we added 15 gallons of water on the sixth day

It would take 45 days for all of the water to run out.

Step-by-step explanation:

Every 3 days, the barrel leaks 5 gallons. After the first three days, it would be 55 gallons. After 6 days, it would have been 50 gallons, but 15 gallons of water was added (bringing it up to 65 gallons). Going in increments of 3 (for 3 days), count backwards by 5. (Ex. 9 = 60, 12 = 55, 15 = 50, etc.) The barrel is completely empty after 45 dayd.

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.