For the scale factor, use the dimensions from similar sides:
Using 18 from the original image you would use 6 from the scaled image.
18 /6 = 3
This means the scaled image is 3 times smaller than the original. Because the scaled image is smaller divide 1 by the scale factor to get 1/3.
Q2:
The scale factor is 1 inch = 12 miles.
Multiply the total inches by 12:
6.5 x 12 = 78 miles.
Answer:
[tex]\large\boxed{\dfrac{1}{3}}[/tex]
[tex]\large\boxed{78\ mi}[/tex]
Step-by-step explanation:
[tex]Q1.\\\text{The scale of similar is the ratio of lengths of corresponding sides}\\\text{Scale:}\ \dfrac{6cm}{18cm}=\dfrac{1}{3},\ \dfrac{4cm}{12cm}=\dfrac{1}{3}[/tex]
[tex]Q2.\\1\ in\to12\ mi\\\\6\dfrac{1}{2}\ in\to6\dfrac{1}{2}\cdot12\ mi=\dfrac{6\cdot2+1}{2}\cdot12\ mi=\dfrac{13}{2}\cdot12\ mi=(13)(6)\ mi=78\ mi[/tex]
