BuckleyI141786 BuckleyI141786

25-10-2022
Mathematics

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This is a rhombus I have the like terms combined but I can’t get the answer for the value of X

This is a rhombus I have the like terms combined but I cant get the answer for the value of X class=

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SharbelB676053 SharbelB676053

25-10-2022

From the given rhombus, it is seen that

AB=5x+25

CD=7x-1

It is known that the lengths of all sides of a rhombus are equal.

Therefore, it is obvious that

AB=CD

It follows that

[tex]\begin{gathered} 5x+25=7x-1 \\ 7x-5x=25+1 \\ 2x=26 \\ x=13 \end{gathered}[/tex]

Hence, the value of x is 13

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