Answer:
vertical angles
Step-by-step explanation:
angles 6 and 7 are formed by the same two lines and are on opposite sides of the intersection point
Answer:
24 servngs
Step-by-step explanation:
3 cups makes 9 servings.
The rate of servings to cups is 9 servings to 3 cups which is a unit rate of 3 servings per cup.
1 quart = 4 cups
2 quarts = 2 * 4 quarts = 8 cups
3 serviongs/cup * 8 cups = 24 servings
Answer: 24 servings
well, the recursive rule of aₙ = aₙ₊₁ + 7, where a₁ = 15, is simply saying that
we start of at 15, and the next term is obtained by simply adding 7, and so on.
well, that's the recursive rule.
so then let's use that common difference and first term for the explicit rule.
![\bf n^{th}\textit{ term of an arithmetic sequence} \\\\ a_n=a_1+(n-1)d\qquad \begin{cases} a_n=n^{th}\ term\\ n=\textit{term position}\\ a_1=\textit{first term}\\ d=\textit{common difference}\\ \cline{1-1} a_1=15\\ d=7 \end{cases} \\\\\\ a_n=15+(n-1)7\implies a_n=15+7n-7\implies a_n=7n+8](https://tex.z-dn.net/?f=%5Cbf%20n%5E%7Bth%7D%5Ctextit%7B%20term%20of%20an%20arithmetic%20sequence%7D%20%5C%5C%5C%5C%20a_n%3Da_1%2B%28n-1%29d%5Cqquad%20%5Cbegin%7Bcases%7D%20a_n%3Dn%5E%7Bth%7D%5C%20term%5C%5C%20n%3D%5Ctextit%7Bterm%20position%7D%5C%5C%20a_1%3D%5Ctextit%7Bfirst%20term%7D%5C%5C%20d%3D%5Ctextit%7Bcommon%20difference%7D%5C%5C%20%5Ccline%7B1-1%7D%20a_1%3D15%5C%5C%20d%3D7%20%5Cend%7Bcases%7D%20%5C%5C%5C%5C%5C%5C%20a_n%3D15%2B%28n-1%297%5Cimplies%20a_n%3D15%2B7n-7%5Cimplies%20a_n%3D7n%2B8)
Answer:
Step-by-step explanation:
A number divisible by 9 is also divisible by 3 because 3 is a factor of 9.