The length of a side of a pentagon is 69 units.
Since the hexagon on the left has 6 sides, and all of the sides have an equal length, if you multiply the number of sides(6) by the length of one side (3x+5) you will get the perimeter of the hexagon, 6(3x+5)
This is the same for the pentagon as well, since the pentagon on the right has 5 sides, and all of the sides have an equal length, if you multiply the number of sides(5) by the length of one side (4x-1) you will get the perimeter of the pentagon, 5(4x-1)
Now we have the equation for the perimeter of the hexagon, 6(3x+5), and the pentagon 5(4x-1). Since we know that the perimeters are the same length for each shape, we can set these two formulas equal to each other
Here is how I set up my equation
6(3x+5)=5(4x-1)
Now that you have the equation, you must solve for x, which I will demonstrate the steps down below
6(3x+5)=5(4x-1)
18x+30=20x-5 (subtract 18x on both sides)
30=2x-5 (subtract -5 on both sides)
35=2x (divide 2 on each side)
17.5=x
Now that you have determined that x is 17.5, all that is left to do is plug in 17.5 into the equation that solves for one side of the pentagon(4x-1) to get the length of a side of a pentagon, which is your answer.
Here is the work if needed
4(17.5)-1
70-1
69
The length of a side of a pentagon is 69 units.
I hope this helped!
Leave a comment on my answer if you have any questions on what I said here or need any more help with math.
If there are twelve angles created, almost all of them are congruent. All the sides have to equal 180. If there are three parallel lines they must have 2 angles on each side. 3*2=6, there is a total of six with a measure of 48.
Answer:
Maria
Step-by-step explanation:
A typical snake bite delivers 0.0045 grams of venom.
Maria wrote it in scientific notation as 
Tammy wrote it in scientific notation as 
Any number can be written in the form of scientific notation as follows :
(a is real no and b is integer)
The given no is 0.0045.
There are 2 zeroes before 4. Also the decimal is there before 2 zeroes.
Hence, Maria is correct.
Answer:
Infinitely many solutions
Step-by-step explanation:
-5.9x - 3.7y = -2.1
5.9x + 3.7y = 2.1
If we add these two equations together, -5.9x cancels out 5.9x, -3.7y cancels out 3.7y, and -2.1 cancels out 2.1.
This leaves us with:
0 = 0
Since this is true, that means there are infinite solutions.
Answer:
y=-3x+6
Step-by-step explanation:
that equation gives the answer for all the 'y'
