Answer:
The number of students who liked the book was 64.
Step-by-step explanation:
After reading a book for English class, 100 students were asked whether or not they enjoyed it.
Now, given that nine twenty-fifths of the class did not like the book.
So, 
of the whole class did not like the book.
Then, the fraction of the class who did like the book was 
.
Therefore, the number of students who liked the book was 
. (Answer)
The direct variation equation is y =kx
Lets see:-
4y/4 = x/4
y = 1/4x
<span>Answer: Yes, this is a direct variation </span>
Answer:
12 cm
Step-by-step explanation:
The formula for the area of a trapezoid is written as:
1/2(b1 + b2)h
h = height = 16 cm
b1 = Length of one parallel side = 9cm
b2 = Length of second parallel side = ?
Area of trapezoid = 168cm²
The formula to find the length of the second parallel side =
b2 = 2A/h - b1
b2 = 2 × 168/16 - 9
b2 = 336/16 - 9
b2 = 21 - 9
b2 = 12cm
Therefore, the length of the second parallel side is 12 cm
First find the area of the parallelogram
Area of parallelogram = b x h
= 12 x 7
= 84
Then find area of kite
Area of kite = (xy)/2
= (7 x 12)/2
= 84/2
= 42
Now we are gonna subtract the area of the kite from the area of the parallelogram.
84 - 42 = 42
Therefore the area of the shaded region is 42.
