Answer:
-3.
Step-by-step explanation:
In the table, the y value goes down by -4 and then -2, for a total of -6.
We did this over a period of two units (To go from -1 to 1, we add 2).
-6/2 = -3.
-3 is the average rate of change over the interval.
Given:
AD is an angle bisector in triangle ABC. 
.
To find:
The value of 
.
Solution:
AD is an angle bisector in triangle ABC.
According to the angle sum property, the sum of all interior angles of a triangle is 180 degrees.
Using angle sum property in triangle CAD, we get
Therefore, the angle of angle ADC is 
.
y + 2007 = 5/29x
5/29 is the slope and 2007 is the y-intercept
Answer:
36
Step-by-step explanation:
Since f(x) varies directly with x, f(x) can be expressed alternatively as \[f(x) = k * x\] where k is a constant value.
Given that f(x) is 72 when the value of x is 6.
This implies, \[72 = k * 6\]
Simplifying and rearranging the equation to find the value of k:
k = \frac{72}{6}
Hence k = 12
Or, \[f(x) = 12 * x\]
When x = 3, \[f(x) = 12 *3 \]
Or in other words, the value of f(x) when x=3 is 36
