O a Olivia went to a dance party. She paid $12 as an entry fee. Once inside the dance party, she paid $2 per snack. She started the night with $30 and spent all her money. which of the following represents an equation that could be used to model this situation?

A) 2x +12=30
B) 30+2x+12=0
C)2x -12= -30
D)30/2x =12​

2x + 12 = 30

12 is the initial fee, then x is the unknown variable. Since each snack costs 2 dollars, and we don't know how many she had, we can use the equation:

2x +                   12 =               30

|                           |                     |

snack          initial                total

fee                fee                 $ spent

25/4

step-by-step explanation:

call segment cd's length x. because dc and ab are parallel, angle acd and cab, so triangles adc and abc are similar and we can set up the equation x / ac = ac / ab, or x / 5 = 5 / 4 and x = 25/4.