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Hatshy [7]
3 years ago
11

Solve for x. The triangles are similar

Mathematics
1 answer:
Y_Kistochka [10]3 years ago
3 0
On number 10, you know that the whole side length is going to be 1/4 of 48 because 9 * 4 = 36. So, you can say that x will be equal to 12, since 1/4 of 48 is 12 and 12*2 + -12 = 12. 

On number 11, you can say that 5x +5 = 40 because that is 5 times 8. So, you can solve for this to get x = 7 by subtracting 5 from both sides and then dividing both sides by 5. Hope this helps and let me know if you have more questions!
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a book store contains 75,972 books, divided in three sections: science, business, and math. thr science section represents 1/3 o
Pachacha [2.7K]

Given that total number of books in the book store = 75972

Given that total number of books in science section =\frac{1}{3} rd of total books =\frac{1}{3}*75972 = 25324

Then remaining number of books = 75972 - 25324 = 50648


Given that 75% of the remaining books are in business section = 75% of 50648 = 0.75*50648 = 37986

Then number of books in the math section = 50648 - 37986 =  12662


Hence final answer is 12662 books in the math section.

4 0
4 years ago
Read 2 more answers
The stock price for International Business Machines (IBM) historically has followed an approximately normal distribution (when a
olganol [36]

Answer:

0.494 is the probability that on a selected day the stock price is between $186.26 and $192.47.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = $188.876

Standard Deviation, σ = $4.6412

We are given that the distribution of stock price is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

P(stock price is between $186.26 and $192.47)

P(186.26 \leq x \leq 192.47) = P(\displaystyle\frac{186.26 - 188.876}{4.6412} \leq z \leq \displaystyle\frac{192.47-188.876}{4.6412}) = P(-0.5636 \leq z \leq 0.7743)\\\\= P(z \leq 0.7743) - P(z < -0.5636)\\= 0.781 - 0.287 = 0.494 = 49.4\%

P(186.26 \leq x \leq 192.47) = 49.4\%

0.494 is the probability that on a selected day the stock price is between $186.26 and $192.47.

5 0
3 years ago
put the following values in ascending order 4 2/7, 31/7, 3 5/7, 29/7, 27/7, the above are fractions you will get brainliest
Pavlova-9 [17]

Answer:

2/7 , 5/7 , 3 , 27/7 , 4 , 29/7 , 31/7

Step-by-step explanation:

2/7= 0.3

5/7= 0.7

3

27/7= 3.9

4

29/7= 4.1

31/7= 4.4

please mark me brainliest

4 0
3 years ago
Read 2 more answers
What is the period of the function F(x) = -4sec (1/2 x)
serg [7]

Answer:

A) 4π

Step-by-step explanation:

The period of a secant function, f(x)=a*sec(bx+c)+d, is defined as 2π/|b| where b is the distance of the period. Since we know b=1/2 given by the function, then the period is 2π/|1/2|=2π/(1/2)=2π(2/1)=4π.

8 0
3 years ago
What is the opposite of |-74|?
Svetlanka [38]

Answer:

It's 74

Step-by-step explanation:

It will be positive 74 i.e, +74

3 0
3 years ago
Read 2 more answers
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