Jorge is attending a La Joya soccer game. He has $15.00 to spend at the game. If a ticket cost $5.00 and

plate of nachos cost $2.50 each. Which inequality

could describe how many nachos, n, Jorge could buy?

A 5n + 2.5 < 15

B5n+ 2.5 > 15

2.5n+ 5 < 15

D 2.5n+ 5 > 15

∠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.

your answer is  

d.

196.5 m2

step-by-step explanation: