Answer:
Scale factor: 1.666
x: 10
Step-by-step explanation:
These are two similar triangles, the triangle MNO has been scaled off triangle FGH.
To calculate the scale/dilation factor, you take 2 measurements of a similar side and you calculate the ratio.
Since we have the measurements for segments GH and NO, and these are similar sides, we'll use that to calculate the scale/dilation factor of MNO over FGH.
[tex]\frac{NO}{GH} = \frac{15}{9} = \frac{5}{3}[/tex]
Dilation factor is 5/3... or 1.666
if you're also looking for value of x, it would be 6 * 1.666 = 10
