Problem 6a
- Angle DCB is supplementary to angle ADC and angle ABC. Reason: Adjacent angles in a parallelogram are always supplementary.
- AE = EC. Reason: The diagonals of any parallelogram always bisect each other. In other words, the diagonals cut each other in half.
- DC = AB. Reason: Opposite sides of a parallelogram are congruent.
- angle DCB = angle DAB. Reason: Opposite angles of a parallelogram are congruent.
- CD = AB. Reason: segment DC is the same as segment CD. The order of the endpoints does not matter when it comes to listing a segment. Opposite sides of a parallelogram are congruent.
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Problem 6b
<h3>Answers:</h3><h3>angle L = 129</h3><h3>angle S = 51</h3><h3>angle C = 129</h3>
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Work Shown:
angle U = 51 (given)
angle S = angle U (Opposite angles of a parallelogram are congruent)
L+U = 180 (adjacent angles in parallelogram are supplementary)
L = 180-U
angle L = 180-51
angle L = 129
angle C = angle L (Opposite angles of a parallelogram are congruent)
angle C = 129
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Problem 6c
<h3>Answers:</h3><h3>x = 33/4 = 8.25</h3><h3>y = 50</h3>
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Work Shown:
TI across the top is 4x+9
NA across the bottom is 42
TI = NA since opposite sides of a parallelogram are congruent
4x+9 = 42
4x = 42-9
4x = 33
x = 33/4
x = 8.25
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angle TAN = 3y
angle TIN = 150
angle TAN = angle TIN (opposite angles of parallelogram are congruent)
3y = 150
y = 150/3
y = 50
Answer:
There are 16 friends at Jack's party.
Step-by-step explanation:
We are given the following in the question:
Let x be the number of friends at Jack's party.
Total number of chocolates Jack have = 50
Number of chocolates given to each friend = 3
Number of chocolates left = 2
Thus, we can write the equation:
Total number of chocolate - Total number of chocolates given = Total number of chocolates left
Solving the equation, we get,
Thus, there are 16 friends at Jack's party.
Example: If it was 15+7 you would break the 7 into a number that would make 7 and is easy to work with so I would break 7 into 5 and 2 then I would do 5+15 is 20+2 is 22 So 15+7 is 22
Hope this helps
Answer:
because 25 is the smallest number in the range
Step-by-step explanation:
range is the biggest number and the smallest number lower quartile is the mean of the lower half of the median and to answer your question 25 is the smallest number of the bunch
