Which angles are adjacent angles?

Mathematics

1 answer:

frozen [14]3 years ago

5 0

Answer:

Step-by-step explanation:

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Candy buys 20 ounces of nuts. Puts equal number of ounces in each of 3 bags. How many ounces of mixed nuts in each bag

Tema [17]

Answer:

she put 6oz in each bag

Step-by-step explanation:

I say this because 20 divided by 3 is 6.6666666667 and she has extra but not enough to put in each one of their bags so she just puts 6oz in each one

3 0

3 years ago

If this particular arithmetic sequence, a7=34 and a15=74. What is the value of a21

Ilya [14]

This is an arithmetic sequence, meaning, to get the next term, you simply add some value to the current one, namely the "common difference" "d".

now, we know the 17th term is 34, let's go to the 15term then

34 + d
34 + d + d
34 + d + d + d
34 + d + d + d + d
34 + d + d + d + d + d
34 + d + d + d + d + d + d
34 + d + d + d + d + d + d + d
34 + d + d + d + d + d + d + d + d

now, notice, we got to the 15th term, which is 34 + d + d + d + d + d + d + d + d, or namely 34 + 8d, it just so happen we know is 74, therefore,

$\bf 34+8d=74\implies 8d=40\implies d=\cfrac{40}{8}\implies \boxed{d=5}$

ok, now that we know what the common difference is, let's find the first term in the sequence using the 7th term of 34,

$\bf n^{th}\textit{ term of an arithmetic sequence}\\\\
a_n=a_1+(n-1)d\qquad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
d=\textit{common difference}\\
----------\\
n=7\\
d=5\\
a_7=34
\end{cases}
\\\\\\
a_7=a_1+(7-1)5\implies 34=a_1+(7-1)5
\\\\\\
34=a_1+30\implies \boxed{4=a_1}$

and now let's use those 2 found folks, to get the 21st term,

$\bf n^{th}\textit{ term of an arithmetic sequence}\\\\
a_n=a_1+(n-1)d\qquad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
d=\textit{common difference}\\
----------\\
a_1=4\\
d=5\\
n=21
\end{cases}
\\\\\\
a_{21}=4+(21-1)5\implies a_{21}=4+100\implies a_{21}=104$

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3 years ago

Point upper D left parenthesis negative 3 comma 5 right parenthesis. is a vertex of triangle DEF. After a rotation of the triang

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3 years ago

32/96 in its simplest form

NikAS [45]

The answer is 1/3.
To get to this conclusion you must halve both the numerator and the denominator until you reach a point where each number can no longer be halved.
32/96
16/48
8/24
4/12
2/6
1/3

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3 years ago

Read 2 more answers

What best describes index fossils

KonstantinChe [14]

Answer:

Index fossil, any animal or plant preserved in the rock record of the Earth that is characteristic of a particular span of geologic time or environment. A useful index fossil must be distinctive or easily recognizable, abundant, and have a wide geographic distribution and a short range through time.

Step-by-step explanation:

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3 years ago