A pair of parallel lines is cut by a transversal, as shown below.
2 answers:
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Answer:
Triangle DEF is a right, scalene triangle. It is not isosceles, obtuse, acute, or equilateral
Step-by-step explanation:
All we know about m and n are that they are not equal to each other and they are positive. This was given in the problem. See image. Once it is graphed you can see on the graph the lengths of DE and EF. Use Pythagorean theorem to calculate DF. see image.
DE is horizontal and EF is vertical, so you can see their slopes or calculate using a formula. Calculate the slope of DF. Slope is y-y on top of a fraction and x-x on the bottom of the fraction.
Lastly, use midpoint formula to find the midpoints. Average the x's and average the y's to find the x- and y-coordinates of the midpoints. See image.
Finally, DEF is a right triangle. The graph as well as the slopes show us that DE and EF form a right angle. So DEF must be a right triangle (and not obtuse nor acute) We were told that m doesNOT equal n, so the triangle cannot have two equal sides, so it cannot be isosceles (2 equal sides) nor equilateral (3 equal sides) It has 3 different lengths of sides; that is called scalene.
The number of yards, as a mixed number, will you drive until you reach this exit is 333 1/3 yards
<h3>How to determine the number of yards to drive?</h3>The complete question is added as an attachment
From the attached figure, we have:
Exit = 1000 feet
From the question, we have
3 feet = 1 yard
So, the number of yards is
Number of yard =Exit/3 yards
This gives
Number of yard = 1000/3 yards
Evaluate the quotient
Number of yard = 333 1/3 yards
Hence, the number of yards, as a mixed number, will you drive until you reach this exit is 333 1/3 yards
Read more about mixed numbers at:
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