We must first solve the number of fiction and nonfiction books
if x is the number of fiction books and
y is the number of nonfinction books
Then,
x + y = 400
x = y + 40
Solving the system of equations:
x = 220
y = 180
Therefore, the probability that Audrey and Ryan will get both nonfiction books is
P = 180/400 + 179/399
P = 0.8986
Answer:
Yes
Step-by-step explanation:
Make all their denominators the same:
4 2/4 , 2 1/4
4 2/4 + 2 1/4 = 6 3/4
1/3 of 6 is 2
and 1/3 or 3/4 is 1/4
therefore he did spend 2 1/4 hours with the dogs so he is correct.
The length of EC will be 7.5 cm
Given DE || BC AD = 4cm, DB = 6cm, AE = 5cm
According to basic proportionality theorem- IF A LINE IS DRAWN PARALLEL TO ONE SIDE OF THE TRIANGLE INTERSECTING THE OTHER TWO SIDES, THEN IT DIVIDES IN THE SAME RATIO.
So,
In triangle ABC, DE || BC in the figure given below:
AD/AB = AE/AC……(1)
Now AB can be written as AD+DB similarly AC= AE+EC……(2)
Applying (2) in (1)
AD/AD+DB = AE/AE+EC……(3)
Applying values of AD,DB and AE from the question in equation (3)
4/(4+6) = 5/(5+EC)
4/10 = 5/(5+EC)
(10*5)/4 = 5+EC
EC = 7.5cm
Learn more about similar triangle at :
brainly.com/question/2644832
#SPJ9
Since a and c in this equation are perfect squares, you know that the value of the factored form is going to be the (sqrt of a*d added to the sqrt of 81)^2, making(d+9)^2
Answer:the bottom is 24 and the left is -12
Step-by-step explanation: