Answer:
We conclude that If Tawnee increases the length and width of the playground by a scale factor of 2, the perimeter of the new playground will be twice the perimeter of the original playground.
Step-by-step explanation:
We know that the perimeter of a rectangle = 2(l+w)
i.e.
P = 2(l+w)
Here
Given that the length and width of the playground by a scale factor of 2
A scale factor of 2 means we need to multiply both length and width by 2.
i.e
P = 2× 2(l+w)
P' = 2 (2(l+w))
= 2P ∵ P = 2(l+w)
Therefore, we conclude that If Tawnee increases the length and width of the playground by a scale factor of 2, the perimeter of the new playground will be twice the perimeter of the original playground.
given:
x² + 12x = 11
perfect square:
a² + 2ab + b²
a² = x² ⇒ x * x
2ab = 12x ⇒ 2(6)x
b² = 6² ⇒ 36
x² + 12x + 36 = 11 + 36
(x+6)(x+6) = 47
Both sides must be added with 36.
Answer:
x=55
Step-by-step explanation:
The 3 angles of a triangle add up to 180 degrees
<A + < B + <C = 180
x + 75+ 50 = 180
x + 125 = 180
subtract 125 from each side
x = 180-125
x = 55
Random sampling because everyone has an equal chance