Find the missing side in the similar figures below

Answer:
a. 28.8
Step-by-step explanation:
Using the theorem of similarity, the following equation can be generated:
[tex] \frac{x}{12} = \frac{25 + 35}{25} [/tex]
Solve for x
[tex] \frac{x}{12} = \frac{60}{25} [/tex]
Cross multiply
[tex] x*25 = 60*12 [/tex]
[tex] 25x = 720 [/tex]
Divide both sides by 25
x = 28.8