Serita604 Serita604
  • 15-07-2014
  • Mathematics
contestada

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

Respuesta :

konrad509
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

…what crime did I commit to deserve this? What feeling is most clearly expressed in the lines of poetry found at Angel Island? A. confusion B. ang
How to fill out fl800 attorney or party without attorney (name, state bar number, and address):?
True or false: a mosaic plot is useful for visualizing the relationship between a numerical and a categorical variable.
Simplify this for me please
Adam borrows? $4,500 at 12 percent annually compounded interest to be repaid in four equal annual installments. the actual endminus?ofminus?year payment is? ___
What effect does distance have on the strength of the force of gravity
include at least five action items that you and your family will do to conserve energy. PLEASE I NEED HELP! THIS QUESTION IS WORTH 80 POINTS
define intertextuality. Discuss three examples that have helped you in reading specific works.
The diameter of a circle is 8 centimeters. A central angle of the circle of the circle intercepts an arc of 12 centimeters. What is the radian measure of the
Which equation models this graph.A: y= -4/4.5x - 4B: y= 4.5x -4C: y= -4x + 4.5D: y= -4x