Question

Can you help me with this question.

Answer 1

`\large\boxed{(1)/(3)}`

`\large\boxed{78\ mi}`

Explanation:

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

`Q2.\\1\ in\to12\ mi\\\\6(1)/(2)\ in\to6(1)/(2)\cdot12\ mi=(6\cdot2+1)/(2)\cdot12\ mi=(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.