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mrs_skeptik [129]
3 years ago
7

Please and thank you

Mathematics
2 answers:
KatRina [158]3 years ago
8 0

Answer:

\huge\boxed{\sf x = 4}

Step-by-step explanation:

If the given polygon is a regular polygon, its sides are equal.

This means:

x^2+4=x^2+x

Subtract x^2 to both sides

4 = x

OR

x = 4

\rule[225]{225}{2}

Hope this helped!

<h3>~AH1807</h3>
serg [7]3 years ago
3 0

<em>The given polygon is a square which means its all sides will be equal.</em>

<h3>According to the above statement:-</h3>

\tt \: x ^{2}  + x = x ^{2}  + 4

Let's solve it ~

\tt \cancel{x ^{2} } + x =  \cancel{x ^{2} } + 4

\tt \: x = 4

\rule{300pt}{3pt}

\huge{|\underline{\mathtt{\red{S}\blue{i}\orange{d}\pink{e}\blue{s}\purple{:}\green{-}\red{}\blue{}\orange{}}}}

\sf \: x ^{2}  + x \\  \sf \:  4 ^{2}  + 4 \\  \sf \: 16 + 4 \\  \sf \: 20

Thus, The sides of the polygon will be 20cm each!

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GuDViN [60]

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The number is 5.

Step-by-step explanation:

Finding the Number

To find the number, we have to form the algebraic equation first by translating the given mathematical problem above to algebraic expression. The algebraic equation is a statement that shows the equality of two algebraic expressions.

Equation:

Let "x" be the number.

"four times the square of a number" = 4x²

"20 times that number" = 20x

"four times the square of a number equals 20 times that number"

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Final Answer:

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Checking:

To check, substitute the number.

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