8 sides
the exterior angle = 180° - 135° = 45° ( exterior/ interior are supplementary )
the sum of the exterior angles of a polygon = 360°
number of sides =
= 8
Answer: -5.6
Step-by-step explanation:
Simplifying
(4x + -28) = 9x
Reorder the terms:
(-28 + 4x) = 9x
Remove parenthesis around (-28 + 4x)
-28 + 4x = 9x
Solving
-28 + 4x = 9x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-9x' to each side of the equation.
-28 + 4x + -9x = 9x + -9x
Combine like terms: 4x + -9x = -5x
-28 + -5x = 9x + -9x
Combine like terms: 9x + -9x = 0
-28 + -5x = 0
Add '28' to each side of the equation.
-28 + 28 + -5x = 0 + 28
Combine like terms: -28 + 28 = 0
0 + -5x = 0 + 28
-5x = 0 + 28
Combine like terms: 0 + 28 = 28
-5x = 28
Divide each side by '-5'.
x = -5.6
Simplifying
x = -5.6
Let's try to divide the sentence into multiple parts and then combine it one by one to make it easier to understand.
1. True
2 times y and 6 -------->(2y+6)
the square of the sum of "2 times y and 6" -------->(2y+6)^2
8 times "the square of the sum of 2 times y and 6"------> 8(2y+6)^2
2. True
the difference of x and 7 -------->(x-7)
9 and x -------->(9 + x)
2 times the product of the sum of
"9 and x" and "the difference of x and 7"-------> 2(9 + x) (x-7)
3. True
difference of 5 times x and 3 -------->(5x-3)
the square of the difference of 5 times x and 3------->(5x-3)^2
4. False
The description should be: the product of 7 and the square of x
the product of 7 and x -------->(7x)
the square of the product of 7 and x -------->(7x)^2
5. True
This one should be clear as it was one sentences
the sum of y squared(y^2) and three times y(3y) minus 4-------->y^2+ 3y -4
6. False
The description should be: the product of 5 and 8 times the square of x plus the sum of 20x and 8
the sum of 20x and 8 -------->20x+8
8 plus the square of x plus the sum of 20x and 8-------->8+ x^2 +20x+8
the product of 5 and.... ------->(5)(........
the product of 5 and
8 plus the square of x plus the sum of 20x and 8---->(5)(8+ x^2 +20x+8)
Wrong because you need to add the -2 to the 8.... I hope this helps