Question

Figure A is a scale image of figure B. Figure A maps to figure B with a scale factor of 2/7 What is the value of x?

Answer 1

42

Explanation:

If the scale factor is 2/7 divide 12 by 2 which is 6. 6 is 1/7 and if Figure a is 7/7

multiply 6 by 7 to get x. That would be 42.

Answer 2

42

Explanation:

Since the scale factor is
`(2)/(7)`, we know that the bigger shape went to the smaller shape.

If we know that the smaller shape's side, 12, is
`(2)/(7)` of the bigger one, we can make the equation

`(2)/(7)x = 12`.

To solve for x, we can divide both sides by
`(2)/(7)`.

`x = 12/{(2)/(7)}`

We can multiply by the reciprocal:

`(12)/(1) \cdot (7)/(2) = (84)/(2) = 42`

Hope this helped!