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Anastasy [175]
3 years ago
13

Represent the above relationship between the number of triangles and the perimeter of the figures they form by filling in the ta

ble below. Show your work. Picture included

Mathematics
2 answers:
Tju [1.3M]3 years ago
5 0

The perimeter of the triangle is \boxed{17}.

The perimeter of the two triangles is \boxed{22}.

The perimeter of the three triangles is \boxed{27}.

The relationship between the number of triangles and the perimeter is \boxed{12 + 5n}.

Further explanation:

The perimeter the triangle can be obtained as follows,

\boxed{{\text{Perimeter}} = a + b + c}

Given:

Explanation:

The perimeter of one triangle can be obtained as follows,

\begin{aligned}{\text{Perimeter}} &= 6 + 6 + 5\\&= 17\\\end{aligned}

The perimeter of the triangle is \boxed{17}.

The perimeter of one triangle can be obtained as follows,

\begin{aligned}{\text{Perimeter}} &= 6 + 6 + 5 + 5\\&= 22\\\end{aligned}

The perimeter of the two triangles is \boxed{22}.

The perimeter of one triangle can be obtained as follows,

\begin{aligned}{\text{Perimeter}} &= 6 + 6 + 5 + 5 + 5\\&= 27\\\end{aligned}

The perimeter of the three triangles is \boxed{27}.

The relationship between the number of triangles and the perimeter can be expressed as follows,

\begin{aligned}{\text{Perimeter}}&= 17 + \left( {n - 1} \right) \times 5\\&= 17 + 5n - 5\\&= 12 + 5n\\\end{aligned}

Here, n represents the number of sides.

The relationship between the number of triangles and the perimeteris \boxed{12 + 5n}.

Learn more:

  1. Learn more about inverse of the functionhttps://brainly.com/question/1632445.
  2. Learn more about equation of circle brainly.com/question/1506955.
  3. Learn more about range and domain of the function brainly.com/question/3412497

Answer details:

Grade: High School

Subject: Mathematics

Chapter: Triangles

Keywords: Number, relationship, triangles, perimeter, number of triangles, 2 triangles, 3 triangles, table, between the sides, represents.

zysi [14]3 years ago
3 0
I'm not entirely sure the format you want the answer in but the table filled out is 

1 triangle/ perimeter of 17
2 triangles/ perimeter of 22
3 triangles/ perimeter of 27

The relationship is every time you add a triangle the perimeter goes up 5
So it's something like 

perimeter= 17+5(# of triangles)  

So if P=perimeter and T= # of additional triangles, the relationship would be

P= 17+5t

I hope this is what you're looking for! 
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