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.
Answer:
the first truck
Step-by-step explanation:
the cost difference between the first truck and the second truck = $160,000-$145,000 = $15,000
the difference of gas cost between the first truck and the second truck = $0.31 - $0.26= $0.05 per mile.
so,
I think, this is a very significant number of truck cost compared with gas cost
for the best deal, the first truck is the best choice.
Answer:
X= -5
Step-by-step explanation:
Expression: 2.8X+12=-1.4X-9
Order it: 12+9=-1.4X-2.8X
Simplification: 21=-4.2X
Results: x=-5
Answer:
Expanded form or expanded notation is a way of writing numbers to see the math value of individual digits. When numbers are separated into individual place values and decimal places they can also form a mathematical expression. 5,325 in expanded notation form is 5,000 + 300 + 20 + 5 = 5,325.
Step-by-step explanation:
