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NikAS [45]
3 years ago
9

Show that the quadrilateral is a parallelogram.

Mathematics
1 answer:
Novosadov [1.4K]3 years ago
6 0

9514 1404 393

Answer:

  opposite sides have the same slope, so it is a parallelogram

Step-by-step explanation:

A parallelogram has opposite sides that are parallel. Here, one pair of opposite sides consists of horizontal lines. Both have zero slope, so are parallel.

The other pair of lines each has a "rise" of 3 units for each "run" of 2 units, so the lines have a slope of 3/2. Both lines have the same slope, so are parallel.

Since opposite sides are parallel, the figure is a parallelogram.

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Five more than the product of y and eight is at most<br> thirty-seven.
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Step-by-step explanation:

We have 8y + 5 <= 37.

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Use addition to solve the system of linear equations. Include all of your work in your final answer.
AlexFokin [52]

Answer: No solutions

Step-by-step explanation:

You can either use substitution or elimination

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7 0
3 years ago
wanda started walking along a path 27 seconds before Dave .Wanda walked at a constant rate of 3 feet per second. Dave walked alo
ValentinkaMS [17]

Answer:

54 seconds

Step-by-step explanation:

Wanda's walking rate = 3 ft/s

Wanda's head start = 27 s

Dave's walking rate= 4.5 ft/s

Let 't' be time after Dave started walking

The distance walked by Wanda and Dave, respectively, as a function of 't' are given by:

W(t) = (27+t)*3\\D(t) = 4.5*t

The instant 't' at which Dave catches up to Wanda (both distances walked are equal) is:

(27+t)*3= 4.5*t\\t=\frac{81}{1.5} \\t= 54\ s

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3 years ago
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