For this case we have that the perimeter of the figure is given by the sum of the lengths of the sides, that is:

Thus, the perimeter of the figure is 64 centimeters.
Now, we find the area of the figure:
We have that by definition, the area of a rectangle is given by:

Where:
a and b are the sides of the rectangle
We have 4 vertical rectangles from left to right:

Thus, the total area is
Answer:
The perimeter of the figure is 64 centimeters.

Converse (switch p and q)
If an angle is obtuse, then it measures 128°
This is false (a 127° angle is obtuse, but it does not measure 128°)
_____________________________________________________________
Inverse (negations of p and q)
If an angle does not measure 128°, then it is not obtuse
This is false (a 127° angle does not measure 128°, but it is obtuse)
_____________________________________________________________
Contrapositive (negations of p and q, then switch their places)
If an angle is not obtuse, it does not measure 128°
This is true (any 128° is obtuse; no exceptions)
Answer:
114,400 and 118,976.
Step-by-step explanation:
Let's represent this using a function. Let's let:
represent the total population, and
represent the total number of years since last year.
We know that the population grows by 4% every year or 0.04 every year. This is exponential growth. We can write this as:

Note that the coefficient is 110000 because that is the year we are starting with. Also, note that it is 1.04 because we are essentially adding .04 to the original population.
Anyways, to find the present population, set y equal to 1 (because 1 year after last year is the present year)

The present population is 114,400 people.
For next year, set y equal to 2 (2 years after last year is next year)>

The population next year will be 118,976 people.
The average score of all the students in both classes is 84.
<h3>How to calculate the average?</h3>
The class with 30 students had an average score of 80 on a test. The total score will be:
= 30 × 80
= 2400
A class with 20 students had an average score of 90 on the same test. The total score will be:
= 20 × 90
= 1800
Total scores = 2400 + 1800 = 4200
Number of students = 20 + 30 = 50
The average score will be:
= Total score / Total students
= 4200 / 50
= 84
Learn more about average on:
brainly.com/question/24313700
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