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anyanavicka [17]
3 years ago
14

Which of the following are remote interior angles of 1? Check all that apply.

Mathematics
2 answers:
tensa zangetsu [6.8K]3 years ago
7 0

Answer:

<h2>A and B</h2>

Step-by-step explanation:

Remote interior angles are defined as the two angles that are inside the triangle and opposite from the exterior angle.

In this case, \angle 3 and \angle 2 are remote interior angles of 1, because they are opposite to it, which is the exterior angle.

Therefore, the right choices are A and B.

liraira [26]3 years ago
3 0

Answer:

A. <2

B. <3

Step-by-step explanation:

The remote interior angles are just the two angles that are inside the triangle and opposite from the exterior angle

Remote interior angles of <1 are <2 and <3

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Find the sum of the first six terms of the sequence.<br><br><br> S6 = ⇒ 84
k0ka [10]

Answer:

Explained below.

Step-by-step explanation:

Consider the series is a set of first 6 natural numbers.

Sum of first <em>n</em> terms is:

\text{Sum of n terms}=\frac{n(n+1)}{2}

\text{Sum of first 6 terms}=\frac{6(6+1)}{2}

                               =3\times7\\=21

Consider the series is an arithmetic sequence.

Sum of first <em>n</em> terms is:

S_{n}=\frac{n}{2} [2a+(n-1)d]

Here<em>,</em>

<em>a</em> = first term

<em>d</em> = common difference

Consider the series is an geometric sequence.

Sum of first <em>n</em> terms is:

S_{n}=\frac{a_{1}\cdot(1-r^{n})}{(1-r)}

Here<em>,</em>

<em>a₁</em> = first term

<em>r</em> = common ratio

7 0
3 years ago
A cube has sides with a length of 1/3 cm. What is its volume?
kompoz [17]

Answer:

1 / 27 cm^3

Step-by-step explanation:

Given,

side = 1 / 3 cm

To find : Volume ( cube ) = ?

Formula : -

Volume ( cube ) = ( side )^3

Volume ( cube )

= ( 1 / 3 )^3

= 1^3 / 3^3

= 1 / 27

= 1 / 27 cm^3

7 0
2 years ago
Read 2 more answers
A 3 L bottle of oil costs $36 and contains 12 cups. Dinesh puts 1 cup of oil, 10 garlic gloves and 1 cup of lemon juice in each
lys-0071 [83]

Answer:

$15

Step-by-step explanation:

Let's start by figuring out how much 1 cup of oil costs.

12 cups of oil is 36$

Let's set up a proportion.

12/36=1/x

Cross Multiply

12x=36

Divide both sides by 12.

x=3

1 cup of oil is $3.

Dinesh makes 5 batches of hummus, and each batch requires 1 cup of oil.

5*1=5

This means he needs 5 cups of oil.

5*3=15

He used $15 worth of oil in the 5 batches of his recipe.

However, since it is impossible to buy 5/12 bottles of oil, he would have needed to spend $36.

7 0
3 years ago
F(x)=x^2 what is g(x)
AysviL [449]
Is C g(x) = -X^2 -3

This is the answer
4 0
3 years ago
What is number 20 simplified?
guapka [62]

Answer:

  2

----------

5w^11


Step-by-step explanation:

8/20 reduces to 2/5, and (w^(-2)) / w^9 becomes 1 / w^11.

Overall, #20 reduces to:

  2

----------

5w^11


Recall the rule of exponents:

  w^a

----------- = w^(a-b)

  w^b


and note that

 w^(-2)

------------ = w^(-2-9)  =  w^(-11) (same as above)

  w^9

6 0
3 years ago
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