two horizontal lines are cut by a transversal. what is the least number of angle measures you need to know in order to find the
measure of every angle? explain your reasoning
1 answer:
Answer: The answer is only one angle. Explained.
Step-by-step explanation: As given in the question and shown in the attached figure, the lines horizontal lines 'p' and 'q' are cut by the transversal 'r'. We need to determine the least number of angles among the eight angles mentioned in the figure to find the measure of all the angles.
Suppose, the measure of ∠1 is given as x°.
So, ∠2 = 180° - x (linear pair of angles),
∠3 = x (=∠1, vertically opposite angles),
∠4 = 180° - x (=∠2, verticaly opposite angles),
∠1 = ∠5, ∠2 = ∠6, ∠3 = ∠7, ∠4 = ∠8. These are pairs of correspomding angles.
Thus, we need the measure of only one angle to find the measure of all the angles.
Hence explained.
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Answer:
The average velocity the entire trip was 43.25 mi/h
Step-by-step explanation:
In this case we have to calculate an average based on the miles traveled. First we have to calculate the total of miles traveled, then calculate the portion of the total travel of each and with this calculate the average speed during the trip. First the total miles traveled:
Now the percentages:
At 57 mi/h were
At 44 mi/h were
At 37.8 mi/h were
Now multiplying the speed by the portion and summing them we can have the average velocity:
The average velocity the entire trip was 43.25 mi/h
Answer:
2,592 square cm.
Step-by-step explanation:
It is given that the dimensions of rectangle A are four times the dimensions of rectangle B.
Let dimensions of rectangle B are l×b.
So, the dimensions of rectangle A are 4l×4b.
Area of rectangle is
Area of rectangle B is
The area of rectangle B is 162 square cm.
Area of rectangle A is
Therefore, the area of rectangle A is 2,592 square cm.