Rotation is a type of transformation refered to a in which the shape of the original object is preserved and the angle of rotation is constanf for all the parts of the body.
Thus, when <span>ΔDEF rotates 90° clockwise about point A to create ΔD 'E 'F.
</span><span>m∠EAE ' = m∠FAF '</span>
Answer: For

Nick does not has enough money to follow this recommendation.
Step-by-step explanation:
Given: A self-service car wash charges $4 for the initial 5 minutes plus an additional $0.75 for each minute after that.
Let y be the cost for car wash for m minutes then
such that at m= 5 , y=4 which is the cost for car wash (dollars) for first 5 minutes.
Also, A car enthusiast magazine recommends spending at least 15 minutes to properly wash a car.
For

But Nick has $10 which is less than $11.5, so he does not has enough money to follow this recommendation.
Answer:
A bag of pop corn costs $8, and each Pretzel costs $4.25.
Step-by-step explanation:
Let
be the price of popcorn, and
the price of Pretzels. If the girl bought 2 bags of popcorn and 5 Pretzels and it cost her $37.25, we have the equation
<em>(this says that the cost of 2 popcorn bags plus 5 pretzels equals $37.25)</em> .
And, since Zoe bought 8 popcorn bags and 9 Pretzels with a total price of $102.25, we get the equation
<em> (this says that the cost of 8 popcorn bags plus 9 Pretzels equals $102.25).</em>
Thus, we have two equations
1. 
2. 
and we solve them by first multiplying equation (1) by 4:
,
and then subtracting it from equation (2):

Now we put this value of
into equation (1) and get:

and we solve for
to get:


Therefore, a bag of popcorn costs $8, and each Pretzel costs $4.25.
Answer:
28.79
Step-by-step explanation:
The dividend share is Php 57
The Market value for the stock is Php 198
Therefore the stock yield ratio can be calculated as follows
= 58/198
= 0.2879 × 100
= 28.79
Hence the dividend stock yield ratio is 28.79