Ashley recently opened a store that uses only natural ingredients. She wants to advertise her products by distributing bags of samples in her neighborhood. It takes one person \dfrac{2}{3} 3 2 start fraction, 2, divided by, 3, end fraction of a minute to prepare one bag. How many hours will it take Ashley and 444 of her friends to prepare 1575 bags of samples?

17.5 hour or 17 hours 30 minutes

Step-by-step explanation:

From the question, it takes

1 person = 2/3 of a minute to prepare 1 bag

1 minute = 60 seconds

2/3 of a minute =

2/3 × 60 seconds

= 40 seconds

It takes 1 person 40 seconds to make a bag

Hence,

1 bag = 40 seconds

1575 bags =

Cross Multiply

1575 × 40 seconds

= 63000 seconds

60 seconds = 1 minute

60 minutes = 1 hours

Hence, 1 hour = 60 × 60

= 3600 seconds

If 3600 seconds = 1 hour

63000 seconds = x

Cross Multiply

3600 × x = 63000

x = 63000/3600

x = 17.5 hours

Hence, it would take Ashley and her 444 friends 17.5 hours to make 1575 bag samples

no pictures of the graph

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.