Answer:
The side lengths are 30, 36 and 39.
Step-by-step explanation:
To find the missing side, write a proportion using side lengths from each similar shape. A proportion is an equation that sets equal two ratios.

Find y by cross multiplying numerator and denominator of each fraction.
13y = 39(12)
13y = 468
y = 36
Find the other missing side by repeating the process.

Find y by cross multiplying numerator and denominator of each fraction.
13y = 39(10)
13y = 390
y = 30
The side lengths are 30, 36 and 39.
Answer:
-2
Step-by-step explanation:
If the lines are parallel, the slopes are the same.
Since the green line has a slope of -2, the red line has a slope of -2
Answer:
Sequence : 
Rate of change : -3
Step-by-step explanation:
It is given that the sequence represents by the points (1,8), (2,4), (4,1) and (5,0.5).
We know that the
represent the point (n,k). So, we have
It is clear that the above sequence is a geometric sequence because it has common ratio
.
First term :
Common ratio :
The nth term of a G.P. is
Therefore, the required sequence is
.
We need to find the average rate of change from n = 1 to n = 3.
Therefore, the average rate of change from n = 1 to n = 3 is -3.