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

Answer:

42

Step-by-step explanation:

Since the scale factor is $\frac{2}{7}$, we know that the bigger shape went to the smaller shape.

If we know that the smaller shape's side, 12, is $\frac{2}{7}$ of the bigger one, we can make the equation

$\frac{2}{7}x = 12$.

To solve for x, we can divide both sides by  $\frac{2}{7}$.

$x = 12\div{\frac{2}{7}}$

We can multiply by the reciprocal:

$\frac{12}{1} \cdot \frac{7}{2} = \frac{84}{2} = 42$

Hope this helped!

Answer 2

Answer:

42

Step-by-step 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.