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3 years ago

14

In the following figure lines j and k are parallel and are cut by transversal t Thanks

1 answer:

Sedbober [7]3 years ago

4 0

angle 1 and angle 7 are alternate exterior angles.

angle 1 and angle 5 are corresponding angles.

angle 3 and angle 8 are same side interior angles.

angle 2 and angle 8 are alternate interior angles.

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Ilya [14]

Answer:

12,9

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Calculate the arithmetic sequence in which a9=17 and the common difference is d=-2.1

jek_recluse [69]

Answer:

$S_{31}=71.3$

Step-by-step explanation:

The nth term of an arithmetic sequence is given by the formula,

$U_n=a_1+(n-1)d$

We were given that the 9th term is $17$ .

$\Rightarrow 17=a_1+(9-1)(-2.1)$

$\Rightarrow 17=a_1+(8)\times(-2.1)$

$\Rightarrow 17=a_1-\frac{84}{5}$

$\Rightarrow 17+\frac{84}{5}=a_1$

$\Rightarrow a_1=\frac{169}{5}$

The sum of the first n-terms is given by the formula,

$S_n=\frac{n}{2}(2a_1+(n-1)d)$

To find $S_{31}$ , we substitute $n=31$ , $a_1=\frac{169}{5}$ and $d=-2.1$ .

$\Rightarrow S_{31}=\frac{31}{2}(2(\frac{169}{5}+(31-1)(-2.1))$

$\Rightarrow S_{31}=\frac{31}{2}(2(\frac{169}{5}+(30)(-2.1))$

$\Rightarrow S_{31}=\frac{31}{2}(\frac{23}{5})$

$\Rightarrow S_{31}=\frac{713}{10}$

$\Rightarrow S_{31}=71.3$

The correct answer is D

8 0

3 years ago

Read 2 more answers

Solve for x <br>x- 2x (12 - 1/2) =2 (4-2x) +20<br>A.-14/9<br>B.-9/14<br>C.14/9<br>D.9/14

MrMuchimi

Answer:

A

Step-by-step explanation:

-22x=-4x+28

-18x=28

x=-28/18=-14/9

7 0

3 years ago

In two or more complete sentences, determine the appropriate model for the given data and explain how you made your decision. (2

Airida [17]

A Least Square Regression Line is the best thing to use for this because there is inconsistencies and no direct equation to be able to fill all of these points. They may be outliers and therefore we should use a calculator for a Regression Line to be calculated to find the residual.

5 0

4 years ago

\sqrt{-100}=____+____i

lubasha [3.4K]

Answer: Is this a legitimate question?

Step-by-step explanation:

7 0

3 years ago