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2 years ago

Triangle abc has the angle mesausres shown. Which statement is true about the angles?

Mathematics

1 answer:

Umnica [9.8K]2 years ago

8 0

Answer:

m∠A = 20°

Step-by-step explanation:

Given that the sum of the angles of any triangle is 180°, adding the expressions of each angle and setting them equal to 180° will give the value of 'x' and allow you to evaluate the angles.

2x + 5x + 11x = 180

18x = 180

18x/18 = 180/18 or x = 10

m∠A = 2x or 2(10) = 20°

m∠B = 5x or 5(10) = 50°

m∠C = 11x or 11(10) = 110°

Out of the choices given, the only one that is true is that m∠A = 20°.

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Answer:

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3 years ago

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Anni [7]

Given:

The matrix multiplication

$\begin{bmatrix}4&5&6\\1&2&3\end{bmatrix}\begin{bmatrix}10\\20\\30\end{bmatrix}$

To find:

The order of resulting matrix.

Solution:

We know that, if order of first matrix is $m_1\times n_1$ and the order of second matrix is $m_2\times n_2$ , then the order of these two matrices is $m_1\times n_2$ .

We have,

$\begin{bmatrix}4&5&6\\1&2&3\end{bmatrix}\begin{bmatrix}10\\20\\30\end{bmatrix}$

Here, the order of first matrix is $2\times 3$ and the order of the second matrix is $3\times 1$ . So, the order of the second matrix is $2\times 1$ . It is also written are 2 by 1.

Therefore, the correct option is A.

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