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enot [183]
3 years ago
9

Find the measure of each exterior angle of a regular 56-gin

Mathematics
1 answer:
Studentka2010 [4]3 years ago
3 0
The sum of the measure of the exterior angles of any polygon is 360. x represents the measure of a single exterior angle.
360/56=x
The simplified fraction is 45/7
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The sum of two integers is 66. The larger is 12 less than five times the smaller. Find the two integers
VikaD [51]

Answer:

13 and 53

Step-by-step explanation:

First Integer: x

Larger integer: 5x-12

66=x+(5x-12)

66= x+5x-12

66=6x+12

78=6x

13=x

First Integer: 13

Larger Integer: 13*5-12= 65-12=53

Check Work:

13+53=66

4 0
3 years ago
Read 2 more answers
How to determine if the columns of a matrix are linearly independent?
astra-53 [7]
Let's consider an arbitrary 2x2 matrix as an example,

\mathbf A=\begin{bmatrix}\mathbf x&\mathbf y\end{bmatrix}=\begin{bmatrix}x_1&y_1\\x_2&y_2\end{bmatrix}

The columns of \mathbf A are linearly independent if and only if the column vectors \mathbf x,\mathbf y are linearly independent.

This is the case if the only way we can make a linear combination of \mathbf x,\mathbf y reduce to the zero vector is to multiply the vectors by 0; that is,

c_1\mathbf x+c_2\mathbf y=\mathbf 0

only by letting c_1=c_2=0.

A more concrete example: suppose

\mathbf A=\begin{bmatrix}1&2\\4&8\end{bmatrix}

Here, \mathbf x=\begin{bmatrix}1\\4\end{bmatrix} and \amthbf y=\begin{bmatrix}2\\8\end{bmatrix}. Notice that we can get the zero vector by taking c_1=-2 and c_2=1:

-2\begin{bmatrix}1\\4\end{bmatrix}+\begin{bmatrix}2\\8\end{bmatrix}=\begin{bmatrix}-2+2\\-8+8\end{bmatrix}=\mathbf 0

so the columns of \mathbf A are not linearly independent, or linearly dependent.
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3 years ago
PLEASE HELP I WILL MARK BRAINLIEST!!!
yawa3891 [41]

Answer:

5 lines we can draw using 2 points

5 0
1 year ago
What is14/3 simplflied​
irina [24]

14/3 simplified is 4 and 2/3 because 3 goes into 14 a total of 4 times with remainder 2. Therefore, 14/3 simplified is 4 and 2/3 or 4 2/3.

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3 years ago
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Jet001 [13]

Answer:

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Step-by-step explanation:

8 0
3 years ago
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