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3 years ago

OCR

Mathematics

2 answers:

mars1129 [50]3 years ago

7 0

Answer:

add 3 and divide by 2

Step-by-step explanation:

2x - 3 = 12

add 3 to both sides

2x - 3 +3 = 12 + 3

2x = 15

Now divide bothsides by 2

$\frac{2x}{2}=\frac{15}{2}\\\\x=7.5$

Anika [276]3 years ago

3 0

Add 3 and divide by 2

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3 years ago

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AVprozaik [17]

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 missing angles by both geometric and algebraic 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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2 years ago