5. By counting the triangles she could see for any length, Jenna says she figured out a patt-
for the number of rods. For overall length 7, she sees 7 triangles and 6 rods connecting
these triangles, so she writes 7 x 3 + 6 = 27. For length L, she writes N = 3L + L - 1.
Explain where she gets the 3L and the L. - 1 in her expression.

Respuesta :

The question illustrates the use of algebraic expressions.

[tex]3L[/tex] is from [tex]3 \times 7[/tex], while [tex]L - 1[/tex] is gotten from [tex]7 - 1[/tex]

The expression is given as:

[tex]7 \times 3 + 6 = 27[/tex]

Rewrite as:

[tex]3 \times 7 + 6 = 27[/tex]

Express 6 as 7 - 1

[tex]3 \times 7 + 7 - 1 = 27[/tex]

7 represents the number of triangles (L), while 27 represents the number of rods (N)

So, we have:

[tex]3 \times L + L - 1 = N[/tex]

[tex]3L + L - 1 = N[/tex]

Rewrite as:

[tex]N = 3L + L - 1[/tex]

This means that:

[tex]3L[/tex] is from [tex]3 \times 7[/tex], while [tex]L - 1[/tex] is gotten from [tex]7 - 1[/tex]

Read more about algebraic expressions at:

https://brainly.com/question/11227332

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