Answer:
C. postulate; theorem
Step-by-step explanation:
While a "given" is taken as true without proof, and a "problem" sometimes involves an assertion that can be proven, the answer choices involving these terms are not correct here.
The dictionary definitions of "postulate" and "theorem" apply. It is useful to learn the meaning of these terms so you can understand problems and descriptions that use them.
Answer:
![\sqrt[]{\frac{x+8}{4}}-3](https://tex.z-dn.net/?f=%5Csqrt%5B%5D%7B%5Cfrac%7Bx%2B8%7D%7B4%7D%7D-3)
Step-by-step explanation:

First rewrite
as y

Now swap y and x

Add 8 on both sides.


Divide by 4.


Extract the square root on both sides.
![\sqrt[]{\frac{x+8}{4}}=\sqrt[]{(y+3)^2}](https://tex.z-dn.net/?f=%5Csqrt%5B%5D%7B%5Cfrac%7Bx%2B8%7D%7B4%7D%7D%3D%5Csqrt%5B%5D%7B%28y%2B3%29%5E2%7D)
![\sqrt[]{\frac{x+8}{4}}=y+3](https://tex.z-dn.net/?f=%5Csqrt%5B%5D%7B%5Cfrac%7Bx%2B8%7D%7B4%7D%7D%3Dy%2B3)
Subtract 3 on both sides.
![\sqrt[]{\frac{x+8}{4}}-3=y+3-3](https://tex.z-dn.net/?f=%5Csqrt%5B%5D%7B%5Cfrac%7Bx%2B8%7D%7B4%7D%7D-3%3Dy%2B3-3)
![\sqrt[]{\frac{x+8}{4}}-3=y](https://tex.z-dn.net/?f=%5Csqrt%5B%5D%7B%5Cfrac%7Bx%2B8%7D%7B4%7D%7D-3%3Dy)
Answer: 1. I forgot how you write it but it adds 1/3 of the number, so for example 9/3 is 3, so you add 3 to 9 = 12 and then 21/3 is 7 and so you add 7 to 21 = 28. I forgot how you would write this but I know the answer is not 1/3 though because then that would be dilating. (srry this one isn't clear)
Also sorry I couldn't really help more I'm not very good at this stuff.
So first you need to find out how much one water bottle cost.
6/24= 0.25
Okay now you need to find how much it would cost for 10.
so you would times 10 by $0.25:
10*0.25= $2.50
So $2.50 would be you answer.
Hope that helps!!
Have a wonderful day!!
Answer: A. 3 red squares to 6 green squares
Step-by-step explanation:
Method 1) Find a common factor between 15 and 30. For this problem, I'll pick 5. Divide both numbers by this common factor.
15/5=3 red squares
30/5=6 green squares
<em>3 red squares to 6 green squares</em>
Method 2) Find the greatest common factor between 15 and 30. The GCF is 15. Divide both numbers by the GCF.
15/15=1
30/15=2
This leaves you with a ratio of 1 red square to 2 green squares. 1:2 is equivalent to 3:6
<em>3 red squares to 6 green squares</em>