Question

Figure A is a scale image of Figure B.27Figure AFigure B4535What is the value of x?

Answer 1

x = 21

Step-by-step explanation:

Figure A is a scaled version of figure B. This means that the ratio between any two sides must be the same for both figures.

It follows then

`(27)/(45)=(x)/(35)`

which just means that the ratio f sides 27 with 45 must be the same as the ratio between side x and 35. Why? Because these two sides are the same across the two figures and therefore their size with respect to each other must not change.

Now to find the value of x, we simply need to solve for x.

We do this by multipying both sides by 35: