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garik1379 [7]
3 years ago
6

Josh created a pattern by using tiles. Twenty tiles were blue. For the rest of the pattern he used equal numbers of red white ti

les. Forty percent of the pattern was made of blue tiles. How many red tiles were used to make the pattern?
Mathematics
1 answer:
Ber [7]3 years ago
3 0

Answer: The number of red tiles = 15.


Step-by-step explanation:

Let the number of red tiles be x, and the total tiles be y.

Since, the pattern he used equal numbers of red white tiles, therefore the number of white tiles = x

The number of blue tiles = 20

Forty percent of the pattern was made of blue tiles and 40%=0.40

Therefore,

0.40y=20\\\Rightarrow\ y=\frac{20}{0.4}\\\Rightarrow\ y=50

Now, the total number of tiles = x+x+20=50

\Rightarrow\ 2x=50-20\\\Rigjhtarrow\ x=30\\\Rightarrow\ x=15

The number of red tiles = 15.

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Option C. Translations and dilations preserve betweenness of points; therefore, the corresponding sides of squares T and T″ are proportional.

<h3>Further explanation</h3>

<em>There are several types of transformations:</em>

  1. <em>Translation</em>
  2. <em>Reflection</em>
  3. <em>Rotation</em>
  4. <em>Dilation</em>

Let us now tackle the problem!

\texttt{ }

This problem is about Translation and Dilation.

<em>Properties of </em><em>Translation</em><em> of the images compared to pre-images:</em>

  • preserve Side Length
  • preserve Orientation
  • preserve Collinearity
  • preserve Betweenness of Points

\texttt{ }

<em>Properties of </em><em>Dilation</em><em> of the images compared to pre-images:</em>

  • not preserve Side Length
  • not preserve Orientation
  • preserve Collinearity
  • preserve Betweenness of Points

\texttt{ }

From the information above, we can conclude that:

Option A is not true because Dilations do not preserve side length.

Option B is not true because Dilations do not preserve orientation.

Option C is true because Translations and Dilations preserve betweenness of points.

Option D is not true. Although Translation and Dilations preserve collinearity but it cannot be related to the corresponding angles are congruent.

\texttt{ }

<h3>Learn more</h3>
  • Inverse of Function : brainly.com/question/9289171
  • Rate of Change : brainly.com/question/11919986
  • Graph of Function : brainly.com/question/7829758
  • Translation : brainly.com/question/10929552
  • Translation of Graph : brainly.com/question/12091943
  • Transformation Of 2 Functions : brainly.com/question/2415963

<h3>Answer details</h3>

Grade: High School

Subject: Mathematics

Chapter: Transformation

Keywords: Function , Trigonometric , Linear , Quadratic , Translation , Reflection , Rotation , Dilation , Graph , Vertex , Vertices , Triangle

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