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If these two shapes are similar, what is the measure of the missing length m? m = _____ miles

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If these two shapes are similar, what is the measure of the missing length m?
m = _____ miles




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    1 Answer

    1. Quizzma Team

      To determine the missing length ( m ) in similar shapes, we can use the properties of similarity which state that corresponding sides of similar shapes are proportional.

      Here’s a step-by-step process to find ( m ):

      1. Identify Corresponding Sides: First, identify the lengths of the corresponding sides from both shapes. Let’s say you know a side length from one shape is ( a ) and the corresponding side from the other shape is ( b ).

      2. Set Up the Proportion: Write the proportion using the known lengths and the missing length ( m ):

      [

      frac{a}{b} = frac{m}{text{known length of similar side}}

      ]

      3. Cross-Multiply: To solve for ( m ), cross-multiply:

      [

      a cdot text{(known length of similar side)} = b cdot m

      ]

      4. Solve for ( m ): Rearranging gives:

      [

      m = frac{a cdot text{(known length of similar side)}}{b}

      ]

      5. Insert Values and Calculate: Substitute the known values into the equation to find ( m ).

      If you can provide the specific values for the sides or further details, I can help you compute ( m ). Feel free to ask! And for more extensive help, check the

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