Answer:
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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.
Answer:
11
Step-by-step explanation:
m∠1 = m∠2 {Corresponding angles}
78 - 2x = 89 - 3x
Add 3x to both sides
78 - 2x + 3x = 89
78 + x = 89
Subtract 78 from both sides
x = 89 - 78
x = 11
Answer: 10
Step-by-step explanation:
Use Pythagorean theorem!
a^2+b^2=c^2
6^2+8^2=c^2
64+36=c^2
100=c^2
Take the square root of 100 and you get c=10