Endrick took $20 with him to the arcade. Each game at the arcade costs $0.75 to play. How much money will Kendrick have left if he plays 15 games at the arcade?

Endrick will have 8.75 dollars left over.

Step-by-step explanation:

First, you multiply 15 by 0.75 to find out how much Endrick spent at the arcade in total, which is 11.25 dollars.

Then, you subtract 11.25 from the original 20 dollars Endrick had to get 8.75 dollars.

∠1≅∠2 by the alternate exterior angles theorem.

step-by-step explanation:

given, a ∥ b and ∠1 ≅ ∠3 .we have to prove that e ∥ f

we know that ∠1≅∠3 and that a || b because they are given. we see that by the alternate exterior angles theorem. therefore, ∠2≅∠3 by the transitive property. so, we can conclude that e || f by the converse alternate exterior angles theorem.

we have to fill the missing statement.

transitivity property states that if a = b and b = c, then a = c.

now, given ∠1≅∠3 and by transitivity property ∠2≅∠3 .

hence, to apply transitivity property one angle must be common which is not in result after applying this property which is ∠1.

the only options in which ∠1 is present are ∠1 and ∠2, ∠1 and ∠4

∠1 and ∠4 is not possible ∵ after applying transitivity we didn't get ∠4.

hence, the missing statement is ∠1≅∠2.

so, ∠1≅∠2 by the alternate exterior angles theorem.

x = 23.78

step-by-step explanation: