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Svetllana [295]
2 years ago
13

The pentagons ABCDE and JKLMN are similar find the length x of JK

Mathematics
2 answers:
tigry1 [53]2 years ago
7 0

Answer:

x = 4

Step-by-step explanation:

Since the figures are similar then the ratios of corresponding sides are in proportion, that is

\frac{JK}{AB} = \frac{KL}{BC} , substitute values

\frac{x}{2} = \frac{8}{4} = 2 ( multiply both sides by 2 to clear the fraction )

x = 4

never [62]2 years ago
3 0
The second shape is double the first so you would do AB = 2 and then times by 2 as its double and you will get 4
answer = 4
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Select all possible values for x in the equation x^3=375?
Helga [31]
<h2>Hello!</h2>

The answers are:

The possible values for x in the equation, are:

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Second option,  \sqrt[3]{375}

<h2>Why?</h2>

To solve the problem, we need to remember the following properties of the exponents and roots:

a\sqrt[n]{b}=\sqrt[n]{a^{n}*b} \\\\\sqrt[n]{a^{m} }=a^{\frac{m}{n}}\\\\(a^{b})^{c}=a^{b*c}

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So, finding "x", we have:

x^{3}=375\\\\(x^{3})^{\frac{1}{3} } =(375)^{\frac{1}{3}}\\\\x=\sqrt[3]{375}=\sqrt[3]{125*3}=\sqrt[3]{125}*\sqrt[3]{3}=5\sqrt[3]{3}

Hence, the possible values for x in the equation, are:

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Second option,  \sqrt[3]{375}

Have a nice day!

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