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Vikki [24]
3 years ago
11

In a group of 54 children, there are twice as many boys as girls how many girls are there

Mathematics
1 answer:
vlabodo [156]3 years ago
7 0
2x + x = 54   wher x = number of girls

3x = 54 
x = 18 

18 girls

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Given right triangle ABC with altitude BD drawn to hypotenuse AC. If AC =16 and DC=5 what is the length of BC in the simplest ra
Nana76 [90]

The length of BC is 4 \sqrt{5}.

Solution:

Given ABC is a right triangle.

AC is the hypotenuse and BD is the altitude.

AB and BC are legs of the triangle ABC.

AC = 16 and DC = 5

<u>Leg rule of geometric mean theorem:</u>

$\frac{\text { hypotenuse }}{\text { leg }}=\frac{\text { leg }}{\text { part }}$

$\Rightarrow \frac{AC}{BC}=\frac{BC}{DC}$

$\Rightarrow \frac{16}{x}=\frac{x}{5}$

Do cross multiplication.

\Rightarrow  16\times 5 = x\times x

\Rightarrow  80= x^2

\Rightarrow  16\times 5= x^2

Taking square root on both sides.

\Rightarrow  \sqrt{16\times 5} = \sqrt{x^2}

\Rightarrow  \sqrt{4^2\times 5} = \sqrt{x^2}

square and square roots get canceled, we get

\Rightarrow  4\sqrt{ 5} = x

The length of BC is 4 \sqrt{5}.

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3 years ago
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san4es73 [151]
The slope is -2/1.
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3 years ago
Solve <br><br> Spam: bdkenebekebevskzbbwj<br> Wiennerjebbenejdxbddjjdkdkkcshjejd d
Svetach [21]

Answer:439.2$

Step-by-step explanation:

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3 years ago
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Musya8 [376]

Answer:

x =10

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2 years ago
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andreev551 [17]

Answer:

b/(b+a)

Step-by-step explanation:

(1/a)-(1/b) :[ (b²-a²)/ab²]

first  solve :

common denominator ab

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[b-a/ab] : [(b²-a²)/ab²]

when divide fraction ( division sign turn to (×) and flip the second fraction(reciprocal):

[b-a/ab] × [ab²/ (b²-a²)]

then  simplify : ab²/ab = b

(b-a)×(b/b²-a²)    

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(b-a)×(b/(b-a)(b+a))  simplify : (b-a)/b-a = 1

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b/b+a

4 0
3 years ago
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