Answer:
Option D. c = 45 will be the answer.
Step-by-step explanation:
In the figure attached there are two similar parallelograms PARL and WXYZ.
In which AP = 15, PL = 40, WZ = 120 and WX = c
By the property of similarity, corresponding sides of the given parallelograms will be in the same ratio.


c =
[By cross multiplication]
c = 45
Therefore, Option D. c = 45 will be the answer.
Answer:

Step-by-step explanation:
We are supposed to write an inequality to determine the number of hot dogs per minute Joey must eat for the last 9 minutes to break his record.
Let d represent the number of hot dogs Joey eats per minute for the next 9 minutes.
We have been given that after 1 minute, Joey has eaten
hot dogs.
Hot dogs eaten in next 9 minutes would be 9 times d that is
.
Total hot dogs eaten by Joey would be hot dogs eaten in 1 minute plus next 9 minutes:
.
Since to break the record Joey needs to eat more than 72 hot dogs. We can represent this information in an inequality as:

Therefore, our required inequality would be
.
Answer:
1/7
Step-by-step explanation:
Since we do not know the number let us use the alphabet A to represent the unknown number
A × 1/3= 1/21
A/3= 1/21
Cross multiply both sides
A×21= 3×1
21A= 3
Divide both sides by the coefficient of A which is 21
21A/21=3/21
A=1/7
Hence the unknown number is 1/7
<span>when flipped over a line of reflection the lengths are still the same
the point to the line of reflection is the same length as the line of reflection to the reflected position
the distance from the original point to the reflected point is twice the distance from the original point to the line of reflection. </span>