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WILL GIVE BRAINLIEST DONT SCAM ME A librarian is rearranging the bookshelves and notices that the pair of bookends on the shelf are not the same size. The librarian then notices that the bookends create similar triangles. What is the length of the diagonal, x, created by the smaller bookend? 5 in. 7.2 in. 27.2 in. 20 in.

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PrinceDidn

Answer:

Think 139 in

Step-by-step explanation: You multiply all the numbers together then square root your final answer

Xero099idn

The length of the diagonal [tex]x[/tex] created by the smaller bookend is 7.2 inches.

How to apply triangle similarity

In this question we have two pairs of books which create two similar triangles, whose formula is an application of the concept of direct proportionality:

[tex]\frac{12\,in}{10\,in} = \frac{x}{6\,in}[/tex]   (1)

[tex]x = 7.2\,in[/tex]

The length of the diagonal [tex]x[/tex] created by the smaller bookend is 7.2 inches. [tex]\blacksquare[/tex]

Remark

The figure associated to the question is missing. We included a simplified representation of the figure below.

To learn more on similar triangles, we kindly invite to check this verified question: https://brainly.com/question/25882965

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