Given:
The number of sides of given polygon = 4
To find the sum of the interior angles of the polygon.
Formula
The sum of interior angles of any polygon is
where, n be the number of sides of the polygon.
Now,
Taking n = 4 we get,
or, 
or, 
Hence,
The sum of the interior angles of the polygon is 360°.
Answer:
d
Step-by-step explanation:
becuse the first one would be 4x and the other ones 2x
Answer:
what graph
Step-by-step explanation:
(x + 1)²(x - 4)(-2x + 3)
(x + 1)(x + 1)(x - 4)(-2x + 3)
(x² + x + x + 1)(-8x² + 3x + 8x - 12)
(x² + 2x + 1)(-8x² + 11x - 12)
(-8x^4 + 11x³ - 12x² - 16x³ + 11x² - 12x - 8x² + 11x - 12)
(8x^4 + 11x³ - 16x³ - 12x² + 11x² - 8x² - 12x - 11x - 12)
8x^4 - 5x³ + 15x² - 23x - 12
Answer:
The gardeners should buy 45 white hydrangeas and 104 pink hydrangeas.
Step-by-step explanation:
Let the gardeners at Middleton Place Gardens have to buy x numbers of white hydrangeas and y number of pink hydrangeas.
So, x + y = 41 {Given} ........... (1)
Again, for another flower bed they want to plant 108 hydrangeas, where the number of white ones is 2 times that of Middleton Place Gardens and the number of pink ones is 3 times that of Middleton Place Gardens.
So, 2x + 3y = 108 ........ (2)
Now, solving equations (1) and (2) we get,
3y - 2y = 108 - 82 = 26
⇒ y = 26
And from equation (1) we get,
x = 41 - 26 = 15.
So, the total number of white hydrangeas the gardeners have to buy is (x + 2x) = 3x = 3 × 15 = 45.
And the total number of pink hydrangeas the gardeners have to buy is (y + 3y) = 4y = 4 × 26 = 104. (Answer)
