Answer:
The side length of the square will be 11 cm.
Step-by-step explanation:
Tessa wants to make a bandana for her dog by folding a square cloth into a 45-45-90 triangle.
Her dog's neck has a circumference of about 32 cm. the folded bandana needs to be an extra 16 cm long so Tessa can tie it around her dog's neck.
So, the hypotenuse of the 45-45-90 triangle has a length of (32 - 16) = 16 cm.
As a 45-45-90 triangle is an isosceles right triangle with side length a cm (say), then

⇒ 2a² = 16² = 256
⇒ a² = 128
⇒ a = 8√2 cm.
Therefore, the side length of the square will be 8√2 cm ≈ 11 cm. (Answer)
Answer:
slope: -8
y-intercept: 11
Step-by-step explanation:
x = 1, 3
y = 2, -5
That statement is false.
Angle e= angle g + angle h
Answer:
85n >/= 1,045
Step-by-step explanation:
85 people times n buses has to equal or exceed 1,045 people
85n is greater than or equal to 1,045
85n >/= 1, 045
n >/= 12.29
So, since n has to be greater than or equal to 12.29, and there is no 29/100ths of a bus, they would need 13 buses (in case there's a follow-up question)
Please lmk if you have questions.