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klio [65]
3 years ago
12

Given right triangle ABC with altitude BD drawn to hypotenuse AC. If AD = 4

Mathematics
1 answer:
Vinil7 [7]3 years ago
4 0

Answer:

BD = 6

Step-by-step explanation:

Theorem:  The altitude to the hypotenuse of a right triangle is the mean proportional between the segments of the hypotenuse.

So, \frac{4}{BD} = \frac{BD}{9}

BD^{2}  = 36

BD = 6

See how easy that is IF you know the theorem.

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Is x=4 a solution to the equation 6=x+2? Is it a solution to the inequality 2x≥9?
jek_recluse [69]

Answer:

Is x = 4 a solution to the equation 6 = x + 2? YES

Is x = 4 a solution to the inequality 2x ≥ 9? NO

Step-by-step explanation:

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we cans solve the equation 6=x+2 by clearing for x:

6 = x + 2

we move the +2 on the right as a -2 to the left:

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this way we find that indeed x = 4 is a solution to 6 = x + 2.

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