The amount of water in a barrel decreases 9 5/8 pints in 7 weeks. The water decreases the same amount each week. What is the change in the amount of water in pints in the barrel in 12 weeks?

6 7/8 pints

Step-by-step explanation:

The amount of water in a barrel decreases 9 5/8 pints in 7 weeks. The water decreases the same amount each week. What is the change in the amount of water in pints in the barrel in 12 weeks?

From the question, we know that:

7 weeks = 9 5/8 pints

12 weeks = x

Cross Multiply

7x = 12 × 9 5/8

x = 12 × 9 5/8/7

x =( 12 × 77/8 ) ÷ 7

x = 12 × 77/8 × 1/7

x = 12 × 11/8

x = 16 1/2 pints

The change in the amount of water in pints in the barrel in 12 weeks is calculated as:

16 1/2 pints - 9 5/8 pints

Lowest common denominator = 8

7 + (4 - 5/8)

7 + (-1/8)

= 6 7/8 pints

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.

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