Find the exact value of x

Mathematics

1 answer:

tresset_1 [31]3 years ago

6 0

ΔABC and ΔCBD are similar. Therefore we have the proportion:

$\dfrac{AB}{BC}=\dfrac{BC}{BD}\\\\AB=6;\ BC=x;\ BD=2$

Substitute:

$\dfrac{6}{x}=\dfrac{x}{2}$ <em>cross multiply</em>

$(x)(x)=(6)(2)\\\\x^2=12\to x=\sqrt{12}\\\\x=\sqrt{4\cdot3}\\\\x=\sqrt4\cdot\sqrt3\\\\\boxed{x=2\sqrt3}$

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snow_lady [41]

Diameter = 51 cm
Radius (r) = 51 cm ÷ 2 = 25.5 cm
π = 3.14
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= 2 × 3.14 × 25.5 cm
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If you have any query, feel free to ask.

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2 years ago

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4 years ago

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3 years ago

Read 2 more answers

HELP!!!!

Nonamiya [84]

Your answer is E. $25.

First let under 12 = u, over 12 = o, and adults = a.
We can now write the equations:

2u + 3a + 3o = 174
4u + 2a = 122
a + o = 46

Because we know that a + o = 46, and 3a + 3o is in the first equation, we can multiply 46 by 3 to get what 3a + 3o equals. This makes 138.
Now we can substitute 138 into the first equation to get 2u + 138 = 174
2u = 36
u = 18

Now that we know what u equals, we can substitute it in to the second equation to get:
4(18) + 2a = 122
72 + 2a = 122
2a = 50
a = $25

I hope this helps! Let me know if you have any questions :)

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3 years ago