Answer:
w = 16, x = 11, y = 6, z = 7.5
Step-by-step explanation:
The scale factor is the ratio of corresponding sides, image to original.
scale factor = [tex]\frac{6}{8}[/tex] = [tex]\frac{3}{4}[/tex]
Then by proportion
[tex]\frac{12}{w}[/tex] = [tex]\frac{3}{4}[/tex] ( cross- multiply )
3w = 48 ( divide both sides by 3 )
w = 16
----------------
[tex]\frac{x}{12}[/tex] = [tex]\frac{3}{4}[/tex]
4x = 36
x = 9
-------------------
[tex]\frac{4.5}{y}[/tex] = [tex]\frac{3}{4}[/tex]
3y = 18
y = 6
----------------------------
[tex]\frac{z}{10}[/tex] = [tex]\frac{3}{4}[/tex]
4z = 30
z = 7.5
