TjRodrigues TjRodrigues
  • 08-05-2024
  • Mathematics
contestada

The sum of the interior angle measures of a convex polygon is 900°. How many sides does it have?
Number of sides =
X
5

Respuesta :

rvkacademic
rvkacademic rvkacademic
  • 08-05-2024

Answer:

7 sides

Step-by-step explanation:

The sum of the interior angles of a polygon is given by the formula

S = (n - 2) * 180°

where n = number of sides

Given S = 900

We get

900 =  (n - 2) * 180

Divide both sides by 180:
900/180 - n - 2

5 = n - 2

n = 5 + 2 = 7

Check

(7-2) * 180° = 5 * 180° = 900°

Answer Link

Otras preguntas

2023 armada’s standard trailer brake controller allows drivers to modify the output of the trailer brake controller by adjusting the ___ and ___.
Your cross country team ran at a pace of 6 mph for 90 minutes. How far did your team run?
Would be thankful if you help me with functions
Laws propect and people
URGENT URGENT URGENT URGENT URGENT URGENT URGENT URGENT whats 2+2 and me bored :P
The inverse of function f(x)=10^x
(Factoring Algebraic Expressions HC) Three students were asked to rewrite the expression 16x3 + 24x5 using a common factor. The rewritten expressions are shown
Lena rents a car for a day. Her car rental company charges $50 per day plus $0. 40 per mile. Peter rents a car from a different company that charges $70 per day
Every morning off your lights to slowly eat a blueberry muffin in his pajamas which modifier is misplaced in the sentence above
The overhead rate method which uses a different overhead rate for each department is the.
good job