Answer:
The matrix would be:
-1 2
12 2
6 3
-3 -4
Step-by-step explanation:
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11) 4
12) $6.66 a min
13) 25¢
14) Alexander
15) C. 22.50
16) C
Triangles are congruent when they have exactly the same three sides and exactly the same three angles.
The diagram shows two pairs of congruent triangle:
- triangle C is congruent to triangle E (have exactly the same three sides and exactly the same three angles);
- triangle D is congruent tot triangle F (have exactly the same three sides and exactly the same three angles).
Triangles A and B apears not to be congruent to any others triangles.
Time required for the pendulum to swing from its position furthest to the right to its position furthest to the left: 1.25 seconds
Step-by-step explanation:
A pendulum is a system consisting of a rod/string connected to a mass which is left free to oscillate back and forth around its equilibrium position, straight vertical.
The period of a pendulum is the time the pendulum takes to complete one full oscillation, that means it is the time the pendulum takes to go from its furthest position on the left to the same position again. It is calculated as

where L is the length of the pendulum and g the acceleration of gravity.
The figure in this problem represents the position of the pendulum. We observe that the time it takes for the pendulum to do one complete oscillation is 2.5 seconds.
The time it takes for the pendulum to swing from its position furthest to the right to its position furthest to the left is half the period: therefore, it is

Learn more about period:
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Two <em>possible answers</em> are:
23.65 and 23.72.
Explanation:
For the first number, 23.65, we are rounding to the tenths place. 23.65 itself is smaller than 23.7. Looking behind the tenths place, the digit behind it is 5. This means we round the tenths place up; this becomes 23.7.
23.72 is larger than 23.7. We will round it to the tenths place as well. Looking behind the tenths place, we have a 2; this means we "round down." This means leave the 7 as it is and drop the other digits behind it. This gives us 23.7.