........................................ 7
Step-by-step explanation:
everything can be found in the picture
Answer:
since angle B and angle C contains the same arc AD. set the angles equal
11x-3=8x+15
x=6
so the angle has a measure of 63 degrees
the central angle is the angle of the arc
and it is always 2 times the angle that we just that contains the arc but does touches the end of the circle.
so its 63 *2 =126 degrees.
<span>Justification
Step 1: Let a = b.
Step 2: Then a^2 = ab ,
Step 3: a^2 + a^2 = a^2 + ab ,
Step 4: 2a^2=a^2 + ab,
Step 5: 2a^2 - 2ab = a^2 + ab - 2ab,
Step 6: and 2a^2 - 2a^b = a^2 + ab - 2ab .
Step 7: This can be written as 2(a^2 - ab) = 1(a^2 - ab) ,
Step 8: and cancelling the (a^2 - ab) from both sides gives 1 = 2.</span>
Answer:
The correct option is;
The situation shows correlation without causation
Step-by-step explanation:
The given data are;
Weight y
Miles Per Gallon
42
18
36
12
30
6
.
x
24
0
The first difference of the data = 42 - 36 = 36 - 30 = 30 - 24 = 6
18 - 12 = 12 - 6 = 6 - 0 = 6
The first difference of the data is constant and equal to 6
Therefore, the graph is a straight line graph with y-intercept = 24 and slope given by the rate of change of the weight to the miles per gallon of fuel consumption as follows;
The rate of change of the weight to the miles per gallon of fuel consumption is given as follows;
(42 - 24)/(18 - 0) = 1
Therefore, the points of the data fit into the straight line and the data of the situation shows correlation
In order to show causation, and to rule out other possible causes for the rise in MPG, a separate experiment will be required whereby the cause for the rise in MPG can be determined.