Serita604 Serita604

15-07-2014
Mathematics

contestada

A polygon has 35 diagonals. How many sides does it have?

Respuesta :

konrad509 konrad509

15-07-2014

[tex]d=35\\ d=\frac{n(n-3)}{2}\\ d=\frac{n(n-3)}{2}\\35=\frac{n(n-3)}{2}\\ 70=n^2-3n\\ n^2-3n-70=0\\ n^2-10n+7n-70=0\\ n(n-10)+7(n-10)=0\\ (n+7)(n-10)=0\\ n=-7 \vee n=10\\\\ n=10 [/tex]

Answer Link

Otras preguntas

Find the volume of a right circular cone that has a height of 14.3 ft and a base with a diameter of 17.2 ft. Round your answer to the nearest tenth of a cubic f

Discuss how the Cold War affected the United States domestic policy and American society?

does anyone know the answer?

PLEASE HELP WILL GIVE BRAINLIEST

What is one of the ways in which the Black Panther has supported the community?

An irregular polygon is shown below: The area of the irregular polygon is ___ square units. Image of irregular polygon with length of 7 units and height of 3 un

What are the possible genotypes for fur in each of the two guinea pigs shown here?

NEWSELA: Rap becomes a valuable tool in language preservation What is the meaning of the phrase regaining their identity as used in the sentence above A. Take

could someone give me an explanation to this

reduce reduce 36% to its lowest term