Answer:
The pairs ( 1 , 2 ) and ( 2 , 1 ) are not equal because their respective elements are not equal.
Step-by-step explanation:
The pair of elements which are in specific order is called an ordered pair. The pair ( 1 , 2 ) is not same as the pair ( 2 , 1 ). In the pair ( 1 , 2 ) 1 is in the first position and 2 is in the second position. In the pair ( 2 , 1 ), 2 is in the first position and 1 is in the second position.
Two ordered pairs ( a , b ) and (c , d ) are said to be equal if a = c and b = d. We write ( a , b ) = ( c , d ).
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Answer:

Step-by-step explanation:
Given



Required
Determine 
From laws of probability, we have:

Substitute in values


Hence,
<em> is calculated to be 0.557</em>
Answer:

Step-by-step explanation:
The details that complete the question are:

and

Required
Determine how far the ball travelled
Distance is calculated using:

Substitute values for x's and y's





<em>Hence, the ball travelled a distance of 63.717 units</em>
Answer:
C, E
Step-by-step explanation:
A. INCORRECT
A is wrong because a reflection across the x-axis DOES move the position of the figure (as it is flipped, so the position changes), but it DOES NOT change the angle (since a shift in position doesn't equal to a change in angle measure)
B. INCORRECT
Although a reflection across the x-axis does change the position of the angle, it DOES NOT change the measure of the angle.
C. CORRECT
A reflection across the x-axis does in fact move the position of the figure and does not change the angle measure. Reflections only deal with flipping a figure, not changing it's shape/distorting it so that the angle will change.
D. INCORRECT
A translation right will change the position of the figure but will not change the measure of the angle.
E. CORRECT
Yes, a translation right WILL change the position of the figure but will NOT change the measure of the angle. This is because a translation is simply moving a figure up and down; it has nothing to do with changing the shape of the figure/distorting it so that the angle is different.