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KatRina [158]
3 years ago
8

Paula bicycled for 20 minutes and covered 5 miles. What is her speed in miles per hour?

Mathematics
1 answer:
Dmitriy789 [7]3 years ago
7 0
In four minutes, Paula covered one mile. Because one hour is equivalent to 60 minutes, we can divide 60 by 4 to get the amount of miles she covered in an hour. 60 / 4 = 15, which means that Paula’s speed is 15mph.
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Answers:
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Reason 4: Alternate Interior Angles Theorem
Reason 5: Reflexive Property of Congruence
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------------------------------------------------------

Explanations:

Explanation for Reason 3: A parallelogram, by definition, has opposite sides that are parallel. It's built into the name more or less. Sides AB and CD are opposite one another in the parallelogram so they are parallel segments

Explanation for Reason 4: Angle ABD is congruent to angle CDB because they are alternate interior angles. They are on the inside of the "train tracks" that are formed by AB and CD. They lay on opposite sides of the transversal BD

Explanation for Reason 5: Any segment is congruent to itself; ie, the same length

Explanation for Reason 6: Using reasons 2,5 and 4, we can use ASA (angle side angle) to prove the two triangles ABD and CDB congruent. Reason 2 is the first "A" in ASA. Reason 5 is the S in ASA. Reason 4 is the other A in ASA. The side is between the two pairs of angles. See the attache image for a visual summary of how ASA is being used.

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