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ycow [4]
3 years ago
10

The slopes of perpendicular line segments are 1/3 and d/5. What is the value of d

Mathematics
1 answer:
a_sh-v [17]3 years ago
4 0
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:

             \displaystyle{  \frac{1}{3}\cdot  \frac{d}{5}=-1.

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


Answer: d=-15
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Step-by-step explanation:

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vekshin1

Answer:

DC = 10.93 cm ,  AC = 9.8 cm

Step-by-step explanation:

From trigonometry;

⇒ Tan 60 = AB/BD

⇒AB = BD Tan 60 ( where BD = 4 cm )

⇒ AB = 6.93 cm

Also, AB=BC , therefore;

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⇒ Cos 60 = BD/AD

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From Pythagoras theorem;

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⇒ AC = \sqrt{96.05} = 9.80 cm

⇒ DC = BD + BC = 4 + 6.93

⇒ DC = 10.93 cm

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Explanation
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