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inna [77]
4 years ago
6

Use the diagram to identify the special angle pairs. ADC and BDC are . A pair of complementary angles is angles .

Mathematics
2 answers:
Kaylis [27]4 years ago
8 0

Answer:

Supplementary

ACD & BCD

Step-by-step explanation:

Grace [21]4 years ago
7 0

Answer:

  • \angle ADC$ and \angle BDC$ are supplementary.
  • A pair of complementary angles is angles ACD and DCB.

Step-by-step explanation:

<u>Definitions</u>

  • Two or more angles are supplementary if they add up to 180 degrees.
  • Two or more angles are complementary if they add up to 90 degrees.

In the diagram which is attached below:

Angles ADC are BDC are on a straight line, and they add up to 180 degrees.

Therefore:

\angle ADC$ and \angle BDC$ are supplementary.

Furthermore,

\angle ACB$ is a right angle.\\\angle ACB=\angle ACD+\angle DCB\\$Therefore, \angle ACD$ and \angle DCB$ are complementary.

A pair of complementary angles is angles ACD and DCB.

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[10] In the following given system, determine a matrix A and vector b so that the system can be represented as a matrix equation
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Answer:

y=-\frac{158}{579}

Step-by-step explanation:

To find the matrix A, took all the numeric coefficient of the variables, the first column is for x, the second column for y, the third column for z and the last column for w:

A=\left[\begin{array}{cccc}1&1&2&2\\-7&-3&5&-8\\4&1&1&1\\3&7&-1&1\end{array}\right]

And the vector B is formed with the solution of each equation of the system:b=\left[\begin{array}{c}3\\-3\\6\\1\end{array}\right]

To apply the Cramer's rule, take the matrix A and replace the column assigned to the variable that you need to solve with the vector b, in this case, that would be the second column. This new matrix is going to be called A_{2}.

A_{2}=\left[\begin{array}{cccc}1&3&2&2\\-7&-3&5&-8\\4&6&1&1\\3&1&-1&1\end{array}\right]

The value of y using Cramer's rule is:

y=\frac{det(A_{2}) }{det(A)}

Find the value of the determinant of each matrix, and divide:

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y=-\frac{158}{579}

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