Answer :

If 2 lines (or line segments) are perpendicular, then the product of their slopes is equal to -1.

Thus, since the given line segments are perpendicular, we have:

             [tex]\displaystyle{ \frac{1}{3}\cdot \frac{d}{5}=-1 [/tex].

Multiplying both sides of the equation by 15, we get d=-15.


Answer: d=-15

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