TravonteL788440 TravonteL788440
  • 27-10-2022
  • Mathematics
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given quadrilateral ABCD side AB has a slope of -2/3 and side BC has a slope of 7/2. If ABCD is a parallelogram then what is the slope of AD?

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DeontayK506775 DeontayK506775
  • 27-10-2022

You have the next quadrilateral:

The side AB has a negative slope, it means that the inclination is to the left

The side BC has a possitive slope, it means that the inclination is to the right

In a parallelogram you have opposite sides with the same measure, then you can say that:

Being m the slope:

[tex]\text{mAB}=\text{mDC}[/tex][tex]\text{mAD}=\text{mBC}[/tex]Then the slope of AD is: 7/2[tex]\text{mAD}=\text{mBC}=\frac{7}{2}[/tex]

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