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Svetlanka [38]
4 years ago
9

louis is a gardener. he plants 3 rose bushes for every 2 lilac bushes. if louis plants 24 rose bushes, how many lilac bushes doe

s he plant?
Mathematics
1 answer:
kvasek [131]4 years ago
5 0
16 lilacs

also Twenty One Pilots are awesome! 

ok sorry i had to write something more for it to accept it lol
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<u>Question 1</u>

If we let FE=x, then DE=x-5.

Also, as \overline{DF} bisects \overline{BC}, this means BE=EC=6.

Thus, by the intersecting chords theorem,

6(6)=x(x-5)\\\\36=x^2 - 5x\\\\x^2 - 5x-36=0\\\\(x-9)(x+4)=0\\\\x=-4, 9

However, as distance must be positive, we only consider the positive case, meaning FE=9

<u>Question 2</u>

If we let CE=x, then because AB bisects CD, CE=ED=x.

We also know that since FB=17, the radius of the circle is 17. So, this means that the diameter is 34, and as AE=2, thus means EB=32.

By the intersecting chords theorem,

2(32)=x^2\\\\64=x^2\\\\x=-8, 8

However, as distance must be positive, we only consider the positive case, meaning CE=8

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2 years ago
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ratelena [41]

Answer:

Point B

Step-by-step explanation:

Inside the darkest part where both inequalities are true

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3 years ago
Write in point-slope form an equation of the line that passes through the point
AnnyKZ [126]

A horizontal line through y=−53. Explanation: Write the equation in the form y=mx+c because then we can read off the slope and the y-intercept ...

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3 years ago
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12345 [234]
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3 years ago
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Answer:

x = 18√3

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From the picture attached,

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By cosine rule,

cos(30°) = \frac{\text{Adjacent side}}{\text{Hypotenuse}}

\frac{\sqrt{3}}{2} =\frac{9}{x}

x=18\sqrt{3}

Therefore, measure of Hypotenuse is 18√3 units.

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3 years ago
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