A) Add three <em>line</em> segments (AD, CF, BE) to the <em>regular</em> hexagon.
B) The area of each triangle of the <em>regular</em> hexagon is 35.1 in².
C) The area of the <em>regular</em> hexagon is 210.6 in².
<h3>How to calculate the area of a regular hexagon</h3>
In geometry, regular hexagons are formed by six <em>regular</em> triangles with a common vertex. We decompose the hexagon in six <em>equilateral</em> triangles by adding three <em>line</em> segments (AD, CF, BE).The area of each triangle is found by the following equation:
A = 0.5 · (9 in) · (7.8 in)
A = 35.1 in²
And the area of the <em>regular</em> polygon is six times the former result, that is, 210.6 square inches.
To learn more on polygons: brainly.com/question/17756657
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Just count the amount of each letter and write it as a exponent = 3x²y³
Answer: The answer is (b) Mary increased both assets and liabilities.
Step-by-step explanation: Given that Mary is going to buy a boat worth $30,000 with the help of a loan but she had $2000 cash to put down.
As a result, Mary took the loan for $28,000 to buy the boat. This will add one more number to the number of Mary's assets and also add one more number to the number of liabilities Mary has.
Therefore, after this purchase, the number of assets and the number of liabilities will both increase for Mary.
Thus, the correct option is (b) Mary increased both assets and liabilities.
1/5(x-y) = 1
x+y = 9
x-y = 5 (x5)
x+y = 9
First you want to create both equations so at least one of the variables (x or y) are the same in both equations, so that is why I multiplied the top one by 5, you multiply the whole equation (both sides)
2x = 14
x = 7
Then you either Plus or minus one from the other, I plused the top one onto the bottom one, then solved for x
7 + y = 9
y = 2
Then put x back into one of the first two equations to get Y
Using the condition given to build an inequality, it is found that the maximum number of junior high school student he can still recruit is of 17.
<h3>Inequality:</h3>
Considering s the number of senior students and j the number of junior students, and that he cannot recruit more than 50 people, the inequality that models the number of students he can still recruit is:
In this problem:
- Already recruited 28 senior high students, hence
.
- Already recruited 5 junior high students, want to recruit more, hence
.
Then:
The maximum number of junior high school student he can still recruit is of 17.
You can learn more about inequalities at brainly.com/question/25953350
