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Ratling [72]
3 years ago
8

Two triangles are similar. The dimensions of the first are 7, 8, and 10, while the dimensions of the second one are 3.5, 4, and

5. The scale factor used to get from the first triangle to the second one is ________.             WILL MARK BRAINLIEST
Mathematics
1 answer:
USPshnik [31]3 years ago
6 0

The scale factor would be 0.5 or 1/2

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What is an equation of the line that passes through the points (-2, 1) and (-8, 4)?
goldenfox [79]
<h2>Answer:   y =  - ¹/₂ x    OR  y - 1 = - ¹/₂ (x + 2)   </h2>

<h3>Step-by-step explanation:  </h3>

        For us to write the equation for this line, we need to (1) find the slope of the line, and (2) use one of the points to write an equation:  

       The question gives us two points, (-2, 1) and (-8, 4), from which we can find the slope and later the equation of the line.

<u>Finding the Slope  </u>

The slope of the line (m) = (y₂ - y₁) ÷ (x₂ - x₁)    

                                         =  (4 - 1) ÷ (-8 - (-2))  

                                         =   - ¹/₂  

<u>Finding the Equation</u>  

We can now use the point-slope form (y - y₁) = m(x - x₁)) to write the equation for this line:

                                 ⇒  y - 1 =   - ¹/₂ (x - (-2))

                                  ∴  y - 1 = - ¹/₂ (x + 2)

  we could also transform this into the slope-intercept form ( y = mx + c)  

                                   since  y - 1 = - ¹/₂ (x + 2)

                                           ⇒     y =  - ¹/₂ x  

       

<em>To test my answer, I have included a Desmos Graph that I graphed using the information provided in the question and my answer.</em>

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