Answer:
all are 90°
Step-by-step explanation:
Vertical angles are congruent, and linear angles are supplementary, so we have ...
∠AOC + ∠COB + ∠BOD = 270°
180° + ∠BOD = 270°
∠BOD = 90°
Since the lines cross at right angles, all of the angles are 90°.
Answer: g(f(4))=9
Step-by-step explanation:
To find g(f(4)), you first find f(4). Then, you plug it into g(x).
f(4)=4-7 [subtract]
f(4)=-3
Now, we know f(4) into g(x).
g(f(4))=(-3)² [exponent]
g(f(4))=9
Now, we know that g(f(4))=9.
Answer:
The correct answer is: Option D: 26 vehicles
Step-by-step explanation:
Median is the middle value of a sorted data set.
The formula for median depends on the number of values in the dataset.
First of all we have to arrange the given data in order
So,
14 19 23 24 24 24 24 26 26 26 26 26 27 27 28 29 30 30 30 34
Counting the values in the dataset
n = 20
As the number of values is even, the formula for median will be
Putting the values
![M = \frac{1}{2}(\frac{20}{2}th\ value+(\frac{20}{2}+1)th\ value)\\M=\frac{1}{2}(10th\ value +[10+1]th\ value]\\M= \frac{1}{2}(10th\ value + 11th\ value)](https://tex.z-dn.net/?f=M%20%3D%20%5Cfrac%7B1%7D%7B2%7D%28%5Cfrac%7B20%7D%7B2%7Dth%5C%20value%2B%28%5Cfrac%7B20%7D%7B2%7D%2B1%29th%5C%20value%29%5C%5CM%3D%5Cfrac%7B1%7D%7B2%7D%2810th%5C%20value%20%2B%5B10%2B1%5Dth%5C%20value%5D%5C%5CM%3D%20%5Cfrac%7B1%7D%7B2%7D%2810th%5C%20value%20%2B%2011th%5C%20value%29)
The 10th value in dataset is 26 and 11th is also 26 so
Hence,
The correct answer is: Option D: 26 vehicles
Okay, here we go.
With simpler decimals, this is a bit easier so I'll explain that first to make sure you get the basic idea.
Let's say you had a decimal for .75 and wanted to create the fraction mathematically. To do this you would:
First divide the decimal by 1 so .75/1
Then multiply be a multiple of 10 that eliminates the decimal so in this case 100
so you now have 75/100
When you simplify that fraction by dividing by 25, you of course get 3/4
Now on to your more complicated question:
Let's assign a variable to your repeating decimal so:
x=.1515151515
Now, let's identify the repeating digits, here they are .15
Move one set of the repeating digits in front of the decimal so now we get:
100x=15.1515151515
Now you have two equations, they are:
x=.1515151515
100x=15.1515151515
Combine the equations into one equation:
100x-x=15.1515151515-.1515151515
99x=15
15/99
simplify and you get 5/33
