thomasfisherman thomasfisherman
  • 19-09-2020
  • Mathematics
contestada

Can a 10 sided polygon have exactly 21 diagonals? Use the formula n(n-
3)/2 *

Respuesta :

CSMedrano
CSMedrano CSMedrano
  • 19-09-2020

Answer:

No

Step-by-step explanation:

for a n-agon the formula is

[tex]\frac{n(n-3)}{2}[/tex]

so in our case n=10

[tex]\frac{(10)(10-3)}{2} \\\\=\frac{10*7}{2} \\\\=5*7\\\\=35[/tex]

so no, a 10 side polygon has exactly 35 diagonals

Answer Link

Otras preguntas

solve 1.2 = g - (-4.3)
what is 81% as a fraction in its simplest form
Which institution has the authority to make and enforce laws for a community?
How can you check to see if two ratios form a proportion? Explain the method you used to find the answer to the previous problem.
PLEASE HELP ME WITH THIS ONE
WHich of the following statements is always false when x=3 ,y=2,and z=4
Which of the following processes add methane (CH4) to the atmosphere?A.Breakdown of plant and animal remains in the soil.B. Leakage from natural gas pipelines.C
the distance from the sun to the earth would be less than one light year exactly one light year more than one light year any number of light years
Khan academy how do you change a fraction into a decimal using long division
What is the approximate volume of a cylinder with a height of 5 ft and a radius of 9 ft? Use 3.14 to approximate pi. Express your answer as a decimal to the h