Answer i need it badly and i don't understand any of this. fabio and gwen are saving money to buy a new gaming station. they need at least $510 to purchase the new gaming station. gwen weeds yards and fabio walks dogs to raise money. gwen charges $12 each time she weeds a yard and fabio charges $9 each time he walks a dog. the number of dog walks that fabio has scheduled is no more than twice the number of yards gwen has scheduled to weed. fabio will walk at least 25 dogs. write a set of constraints to model the problem, with x representing the number of lawns weeded and y representing the number of dogs walked. show the work.

Step-by-step explanation:

F + G ≥ 510

G = 12x

F = 9y

2x ≤ y

y ≥ 25

∠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.

a

step-by-step explanation: