Step-by-step explanation:
You need to find the total number of students the pie chart will represent:
17 + 35 + 38 = 90
So you know, 360° represents 90 people
You can then find out the angle for each person: 360 ÷ 90 = 4
Each person is 4°
a)
1. 17 people took French so you would do 4° × 17 = 68°
2. 35 people took German so you would do 4° × 35 = 140°
3. 38 people took Italian so you would do 4° × 38 = 152°
b)
17 out of 90 people chose french so the probability would be 17/90
The founded number should be 9,000
Since the angles are supplementary, we know that they must add up to equal 180 degrees by the definition of supplementary angles
set the sum of the 2 angles to equal 180 and solve for x
6x + 48 + 60 = 180
6x + 108 = 180
6x = 72
x = 12
you could check to make sure that your x value is correct by plugging it back into the equation
6(12) + 48 + 60 = 180
72 + 48 + 60 = 180
120 + 60 = 180
180= 180
hope this helped!
Answer:
4. Slope of function B = -slope of function A
Step-by-step explanation:
Given:
Function A is given as:
The above equation is of the form 
, where 
represents slope of the line.
Therefore, on comparing the function A with the above standard form, er conclude that, slope of function A is -2.
Now, from the graph of function, we consider any two points on the graph and determine the slope of the line using the two points.
Let us consider the points 
Now, the slope of the line passing through these two points is given as:
Therefore, slope of function B is 2.
Therefore, the correct relation between the slopes of the two functions is that the slope of function B is negative of the slope of function A.
