Answer:
In other words, the slopes of parallel lines are equal. Note that two lines are parallel if their slopes are equal and they have different y-intercepts. In other words, perpendicular slopes are negative reciprocals of each other.
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:
Change in position after 30 seconds will be 
Step-by-step explanation:
Given:
Change on position in every 10 seconds = 
To Find:
Change in position after 30 seconds = ?
Solution:
For every 10 seconds the team changes a distance of feet
After first 10 seconds
The change in position will be feet = 
After next 10 seconds i.e., after 20 seconds
The change in position will be = 
+
=>
After next 10 seconds i.e., after 30 seconds
The change in position will be = +
=> 
Answer: 10%, 0.5, 3/4
Step-by-step explanation:
What you want to do is convert them all to one unit. The eaisest would be a decimal.
Starting off with .5, it's already in decimal form.
Next go to 10%. 10% as a decimal will be 0.1, because its 1/10.
Lastly, go to 3/4. 3/5 as a decimal would be 0.75.
Putting them in order from least to greatest would be 10%, 0.5, 3/4.
(Hope that helps)
