<u>ANSWER TO PART A</u>
The given triangle has vertices 
The mapping for rotation through
counterclockwise has the mapping

Therefore



We plot all this point and connect them with straight lines.
ANSWER TO PART B
For a reflection across the y-axis we negate the x coordinates.
The mapping is

Therefore



We plot all this point and connect them with straight lines.
See graph in attachment
Answer: 31,672 mi2
Step-by-step explanation:
The area of the state of Nevada can be estimated using a trapezoid
x + 2x - x - 1
- Substitute 2 for x into the expression.
(2) + 2(2) - (2) - 1
(2) + (4) - (2) - 1
- Solve from left to right.
- (2 + 4) - 2 - 1 = 6 - 2 - 1
6 - 2 - 1
- Solve from left to right.
- (6 - 2) - 1 = 4 - 1
4 - 1 = 3
<h3>Your answer is 3.</h3>
The number of passwords that would be allowed if users were allowed to reuse the letters and numbers is 30891577600
<h3>How to determine the number of passwords</h3>
The given parameters are:
Password length = 8
Letters = 6
Numbers = 2
There are 26 letters and 10 digits.
Since the letters and the numbers can be repeated, then the number of passwords is:
Count = 26^6 * 10^2
Evaluate
Count = 30891577600
Hence, the number of passwords that would be allowed if users were allowed to reuse the letters and numbers is 30891577600
Read more about combination at:
brainly.com/question/11732255
#SPJ1
It has 9 interior angles kn total