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Nady [450]
3 years ago
10

Hexagon ABCDEF has has vertices A(-2,4), B(0,4), C(2,1), D(5,1), E(5,-2), F(-2,-2). Sketch the figure on the coordinate plane. W

hat is the area of the hexagon?

Mathematics
1 answer:
Andreyy893 years ago
8 0
<span>A regular hexagon is defined as a hexagon that is both equilateral and equiangular. It is bicentric, meaning that it is both cyclic (has a circumscribed circle) and tangential (has an inscribed circle). The common length of the sides equals the radius of the circumscribed circle, which equals {\displaystyle {\tfrac {2}{\sqrt {3}}}} {\displaystyle {\tfrac {2}{\sqrt {3}}}} times the apothem (radius of the inscribed circle). All internal angles are 120 degrees. A regular hexagon has 6 rotational symmetries (rotational symmetry of order six) and 6 reflection symmetries (six lines of symmetry</span>
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I need to explain/show work.<br> Help please
Fittoniya [83]

Answer:

adult tickets = 17, children tickets = 9

Step-by-step explanation:

Let x be the number of children and y the number of adults

Then given that 26 tickets are sold, we can write

x + y = 26 → (1)

Given that ticket cost was $194 we can write

5.5x + 8.5y = 194 → (2)

Rearrange (1) expressing y in terms of x by subtracting x from both sides

y = 26 - x → (3)

Substitute y = 26 - x into (2)

5.5x + 8.5(26 - x) = 194 ← distribute and simplify left side

5.5x + 221 - 8.5x = 194

- 3x + 221 = 194 ( subtract 221 from both sides )

- 3x = - 27 ( divide both sides by - 3 )

x = 9

Substitute x = 9 into (3) for corresponding value of y

y = 26 - 9 = 17

Hence number of adult tickets sold = 17

number of children tickets sold = 9

5 0
3 years ago
What is the inverse function of d(x) = 2x - 4?
Naddik [55]
Let d(x) = 2x - 4

Or

y = 2x - 4

We have replace x = y

x = 2y - 4

Now Isolate "y"

x + 4 = 2y

Pass "2" dividing

(x + 4) / 2 = y

y = x/2 + 2

Or

d(x)^-1 = x/2 + 2

7 0
3 years ago
The length of the segment indicated round your answer to the nearest 10th if nessesary
exis [7]
Pythagorean Theorem
x^2 = 15.7^2 -7.8^2
x^2 = <span> <span> <span> 185.65 </span> </span> </span>
x = <span> <span> <span> 13.6253440324 </span> </span> </span>
Answer is C

3 0
3 years ago
All rational numbers are integers? True/False
densk [106]

Answer:

True

Step-by-step explanation:

Every rational number is an integer. ... But not all rational numbers are integer. For example 47,34 4 7 , 3 4 . Hence, the statement is FALSE .

4 0
2 years ago
What is bigger 3/7 or 2/10?
yanalaym [24]
3/7. if you make them equivalent fractions it would be 30/70 or 14/70. 30/70 is bigger.
7 0
3 years ago
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