can someone please help its due soon.ill give brainliest!

Answer:
x = 9.6 in
Step-by-step explanation:
The scale factor is 8:10 (difference in length.) This is simplified down to 4:5.
Method 1 (easier):
4/5 × 12 = 9.6 in.
Method 2 (harder but more comprehensive):
[tex] \frac{10}{12} \times \frac{8}{x} [/tex]
cross-multiply
[tex]10x = 96 \\ x = 9.6[/tex]