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.

recall that, log <--- with no apparent base, implies base10, so you can just plug that in your calculator
for the change of base rule, it doesn't really matter what base you use, so long is the same above and below, it just so happen, that we used base10 in this case, but could have been anything, same result.
Answer:
0.85x - $50
Step-by-step explanation:
Given that :
Brandon wants to buy a new bike. The model he likes is on sale for 15% off its original price. His parents agree to pay for $50 of the cost. If the original cost of the bike is x dollars, which of the expressions below represent the amount Brandon has to pay
Discount on price = 15%
Amount parents agreed to pay = $50
Cost of bike = x
Discount on bike = 0.15x
Cost after discount is removed = (x - 0.15x) = 0.85x
Parent pays $50 of cost price, amount Brandon will have to pay equals :
(0.85x - $50)
Answer:
Well, if we know that an obtuse angle is an angle greater than 90 degrees, and that a triangle's angles MUST sum up to 180 degrees and contain three angles. Then it logically follows that there's no way for a triangle to have 3 angles AND have two of the three be greater than or equal to 90 degrees as the remaining angle would have to be zero degrees or some "negative angle"- which I am pretty sure doesn't exist lol! As for a proof, I think you can cook up something with what I have given you so far :)
Answer: Both
Explanation: The triangles all have corresponding congruent angles. We can tell this by finding the third angle of the original problem: 96.
Then you can read each triangle by what it states. Angle A is congruent to the corresponding angles in the other triangles, which are Q and T. Angle B is congruent to the corresponding angles in the other triangles, which are R and U. Angle C is congruent to the corresponding angles in the other triangles, which are S and V.
We know heard similar since they have congruent angle measures in corresponding spots.