Can someone please help me I really need this answer!!!!

Mathematics

2 answers:

Tom [10]3 years ago

4 0

The answer is A.90 but I’m not sure

VLD [36.1K]3 years ago

4 0

The formula to use is
z = (x+y)/2
where
x and y are the measures of the minor arcs (highlighted in blue) and z is the measure of the intersecting chord angles

In this case,
x = measure of minor arc DE = 30
y = measure of minor arc AC = unknown
z = measure of angle ABC = 90

So,
z = (x+y)/2
90 = (30+y)/2
2*90 = 30+y
180 = 30+y
y+30 = 180
y = 180-30
y = 150

Answer: C) 150 degrees

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Vilka [71]

Answer:

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3 years ago

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34kurt

Answer:

Remember, a basis for the row space of a matrix A is the set of rows different of zero of the echelon form of A.

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To row 3 we subtract row 1, 7 times.
To row 4 we subtract row 1, 3 times.
To row 5 we subtract row 1, 6 times.
To row 6 we subtract row 1, 9 times.

We obtain the matrix

$\left[\begin{array}{cccc}1&2&3&1\\0&-3&-6&-3\\0&-6&-12&-6\\0&-4&-5&-2\\0&-7&-14&-5\\0&-10&-20&-8\end{array}\right]$

We subtract row two twice to row three of the previous matrix.
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we subtract 7/3 from row two to row 5.
we subtract 10/3 from row two to row 6.

We obtain the matrix

$\left[\begin{array}{cccc}1&2&3&1\\0&-3&-6&-3\\0&0&0&0\\0&0&3&2\\0&0&0&2\\0&0&0&2\end{array}\right]$

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$\left[\begin{array}{cccc}1&2&3&1\\0&-3&-6&-3\\0&0&3&2\\0&0&0&0\\0&0&0&2\\0&0&0&2\end{array}\right]$

Since the only nonzero rows of the augmented matrix of the coefficient matrix are the first three, then the set

$\{\left[\begin{array}{c}1\\2\\3\end{array}\right],\left[\begin{array}{c}0\\-3\\-6\end{array}\right],\left[\begin{array}{c}0\\0\\3\end{array}\right] \}$

is a basis for Row (A2)

Now, observe that the last two rows of the echelon form of the augmented matrix have the last coordinate different of zero. Then, the system is inconsistent. This means that the system has no solutions.

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