Answer:
1) AD = RC 2) Angle A = Angle R 3) Angle AMD = Angle CMR Reason: Vertical angles theorem.
Step-by-step explanation:
I can't really explain my process since some are self explanatory, but if you do have questions, always know that you can reply and I'll answer them. Also, number four is cut off so I'm not sure if there is a fill in a blank portion there.
Answer:
A. P(n) = 12·2^n
Step-by-step explanation:
From one generation to the next, the population grows by a factor of ...
24/12 = 2
Only one offered expression is an exponential function with a base of 2:
P(n) = 12·2^n
Answer:

Step-by-step explanation:
The z-score tells us how many standard deviations a value is away from the mean.
The formula is:

where x is the value,
is the mean, and s is the standard deviation.
We want to find the z-score for the score of an 83, the mean is 72, and the standard deviation is 5.

Substitute the values into the formula.

Solve the numerator.

Divide.

The z-score is 2.2, which means the score of 83 is 2.2 standard deviations above the mean.
Answer:
30cm^2
Step-by-step explanation:
area of large rectangle = length x width
= 5 X 9 = 45 cm^2
area of small rectangle = length x width
= 3 X 5 = 15 cm ^2
45 - 15 = 30cm^2