Question

Can you help me with this question.

Answer 1

Answer:

$\large\boxed{\dfrac{1}{3}}$

$\large\boxed{78\ mi}$

Step-by-step explanation:

$Q1.\\\text{The scale of similar is the ratio of lengths of corresponding sides}\\\text{Scale:}\ \dfrac{6cm}{18cm}=\dfrac{1}{3},\ \dfrac{4cm}{12cm}=\dfrac{1}{3}$

$Q2.\\1\ in\to12\ mi\\\\6\dfrac{1}{2}\ in\to6\dfrac{1}{2}\cdot12\ mi=\dfrac{6\cdot2+1}{2}\cdot12\ mi=\dfrac{13}{2}\cdot12\ mi=(13)(6)\ mi=78\ mi$

Answer 2

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.