A regular pentagon and a equilateral triangle have the same perimeter. The perimeter of the pentagon is 5(1/2x - 1) inches. The perimeter of the triangle is 3(x-5) inches. What is the perimeter of each figure?
Answers
Answer:
A regular pentagon and an equilateral triangle have the same perimeter. The perimeter of the pentagon is 5 (1/2x +2) inches. The perimeter of the triangle is 4(x-2) inches. What is the perimeter of each figure?
Emma
Jul 16, 2019
so 5(.5x + 2) = 4(x-2)
distributive property gives you
2.5x+10=4x-8
add eight to both sides
2.5X+18=4x
Subtract 2.5x from both sides.
18=1.5x
Simplifying this means that x=12. Now we plug x back into the previous two equations and we get 40. So the perimeter of the pentagon and triangle are 40
matty
Jul 16, 2019
sorry I’m not very great at explaining the process.
matty
Jul 16, 2019
well, they have the same perimeter, so
5(1/2 x + 2) = 4(x-2)
x = 12
...
oobleck
Jul 16, 2019
OMG Thank you soooo much!!
Step-by-step explanation:
A regular pentagon and a equilateral triangle have the same perimeter. The perimeter of the pentagon is 5(1/2x - 1) inches. The perimeter of the triangle is 3(x-5) inches. What is the perimeter of each figure?
Answer:
Step-by-step explanation: