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3 years ago

(13) Help pls check ans for geo

Mathematics

1 answer:

AVprozaik [17]3 years ago

4 0

A. False. We can't use SSS as we don't know anything about the third pair of sides (the outer pair furthest way from each other)

B. True, we use SAS. We know info about two pairs of sides along with the pair of angles between those sides. It's not visually given, but we use the vertical angle theorem to show that the angles are congruent.

C. False. We only have info about one pair of angles and not two pairs of angles

D. False. This can be ruled out since A has been ruled out.

You have the correct answer.

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Determine if this is a linearly dependent or independent set: (V, V, V ) where syon V = (1,2,2,-1), V = (4,9,9,-4), v = (5,8,9,-

marishachu [46]

Answer:

This is a linearly independent set.

Step-by-step explanation:

We have these following vectors:

$V_{1} = (1,2,2,-1)$

$V_{2} = (4,9,9,-4)$

$V_{3} = (5,8,9,-5)$

In a set of 3 vectors, if one of these vectors can be written as a linear combination of the 2 other vectors, they are linearly dependent. Otherwise, they are linearly independent.

We can verify this by solving the following system:

$xV_{1} + yV_{2} + zV_{3} = (0,0,0,0)$

If the only solution is $(x,y,z) = (0,0,0)$ , they are L.I. Otherwise, they are L.D.

Solution:

$xV_{1} + yV_{2} + zV_{3} = (0,0,0,0)$

$x(1,2,2,-1) + y(4,9,9,-4) + z (5,8,9,-5) = (0,0,0,0)$

We have the following system of equations:

$x + 4y + 5z = 0$

$2x + 9y + 8z = 0$

$2x + 9y + 9z = 0$

$-x -4y - 5z = 0$

I am going to solve this by the row-reduction of the augmented matrix.

This system has the following augmented matrix:

$\left[\begin{array}{cccc}1&4&5&0\\2&9&8&0\\2&9&9&0\\-1&-4&-5&0\end{array}\right]$

To reduce the first row, i am going to make these following operations:

$L_{2} = L_{2} - 2L_{1}$

$L_{3} = L_{3} - 3L_{1}$

$L_{4} = L_{4} + L_{1}$

So the augmented matrix now is:

$\left[\begin{array}{cccc}1&4&5&0\\0&1&-2&0\\0&1&-1&0\\0&0&0&0\end{array}\right]$

Now I reduce the second row, doing:

$L_{3} = L_{3} - L_{2}$

So the matrix is:

$\left[\begin{array}{cccc}1&4&5&0\\0&1&-2&0\\0&0&1&0\\0&0&0&0\end{array}\right]$

Now we can solve the system:

From the third line, we have that

$z = 0$

From the second line:

$y - 2z = 0$

$y - 2(0) = 0$

$y = 0$

From the first line

$x + 4y + 5z = 0$

$x + 4(0) + 5(0) = 0$

$x = 0$

The only solution for this system is $(x,y,z) = (0,0,0)$ . This means that we have a linearly independent set.

3 0

3 years ago

34 is 20% of what number?

slega [8]

Answer:

20x/100 = 34/1

20x = 3400

x = 170

Step-by-step explanation:

4 0

4 years ago

What is the domain of the function y = l n (x + 2)

Lesechka [4]

x greater than negative 2, because ln(x) is undefined for x <= 0 (-2+2=0, -1.999...+2>0)

8 0

4 years ago

Read 2 more answers

Pls help meee lookat the screenshot

Oduvanchick [21]

The diagram shows that the total number of buttons with ¾ inch length is 3.

So, if she lines all the ¾ inches buttons, then the total length will be

= ¾ inches × 3

= 9/4 inches

= 2 ¼ inches

8 0

3 years ago

Read 2 more answers

12. Given triangle ABC with sides a, b, and c

natulia [17]

Answer:

Side c

Step-by-step explanation:

Generally triangles can be classified with respect to their sides, or their angles. And there is a relationship between the length of the sides and the measure of the opposite angles of a given triangle. The relationship is that; the longest length of side is the one that is always opposite to the greatest angle.

In the given question, the longest side given that m<A = 49°, m<B = 24°, and m<C = 107° of the internal angles of the triangle is side c. Since side c is opposite the greatest angle, <C.

4 0

3 years ago