What is this?
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2 answers:
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First, you plot the coordinates to visualize the problem clearly. As you can see in the picture, the longest sides could either be one of those marked in red. This could be initially determined when you use visual estimation. We measure this using the distance formula: d = √[(x2-x1)^2 + (y2-y1)^2)]
Between coordinates (0,3) and (3,6)
d = √[(3-0)^2 + (6-3)^2)]
d= 4.24 units
Between coordinates (2,1) and (5,4)
d = √[(5-2)^2 + (4-1)^2)]
d= 4.24 units
They are of equal length. Both are the longest sides which measures 4.24 units.
Between coordinates (0,3) and (3,6)
d = √[(3-0)^2 + (6-3)^2)]
d= 4.24 units
Between coordinates (2,1) and (5,4)
d = √[(5-2)^2 + (4-1)^2)]
d= 4.24 units
They are of equal length. Both are the longest sides which measures 4.24 units.
<h3>Answer: 37 degrees</h3>
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Explanation:
Refer to the diagram below. I've marked angles FBD and ECG in red. We can see that they are alternate exterior angles because they are
Outside (aka exterior) of the parallel lines
On alternating sides of the transversal cut
Because JD is parallel to EK, this means the alternate exterior angles are congruent. Therefore, angle ECG is also 37 degrees.
Ignore angle ABG and ignore line AH. In my opinion, this is filler added as a distraction.