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2 years ago

RRS-1

Mathematics

1 answer:

AVprozaik [17]2 years ago

5 0

The missing measures are listed below:

$m \angle 1 = m \angle 3 = m \angle 6 = 59^{\circ}$
$m\angle 2 = m\angle 4 = m\angle 5 = m \angle 11 = 31^{\circ}$
$m\angle 7 = m\angle 8 = m\angle 9 = m\angle 10 = 118^{\circ}$

<h3>Procedure - Finding missing angles in a quadrilateral</h3>

In this question we must determine the measures of the <em>missing</em> angles by both <em>geometric</em> and <em>algebraic</em> means, whose procedure is presented below:

$x = 59^{\circ}$ Given
$m \angle 3 = 59^{\circ}$ Alternate internal angles
$m \angle 11 = 31^{\circ}$ Complementary angles
$m \angle 4 = 31^{\circ}$ Alternate internal angles
$m \angle 6 = 59^{\circ}$ Isosceles triangle
$m \angle 9 = 62^{\circ}$ Sum of internal angles in a triangle
$m \angle 10 = 118^{\circ}$ Supplementary angles
$m \angle 8 = 62^{\circ}$ , $m\angle 7 = 118^{\circ}$ Vertical angles
$m \angle 2 = 31^{\circ}$ Sum of internal angles in a triangle
$m \angle 5 = 31^{\circ}$ Sum of internal angles in a triangle
$m \angle 1 = 59^{\circ}$ Sum of internal angles in a triangle/Result

The missing measures are listed below:

$m \angle 1 = m \angle 3 = m \angle 6 = 59^{\circ}$
$m\angle 2 = m\angle 4 = m\angle 5 = m \angle 11 = 31^{\circ}$
$m\angle 7 = m\angle 8 = m\angle 9 = m\angle 10 = 118^{\circ}$

To learn more on angles, we kindly invite to check this verified question: brainly.com/question/15767203

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B) without replacement

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B) without replacement

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P(at least 6 marbles of the same color) = (7/20*6/19*5/18*4/17*3/16*2/15) + (10/20*9/19*8/18*7/17*6/16*5/15)

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