Joshua and Kay are out for a walk on a rainy day. They come to the edge of a large, circular puddle that has a radius of 3 feet. Joshua is wearing boots, so he walks straight through the center of the puddle to the other side. Kay forgot to wear her boots, so she walks around the outside of the puddle to meet Joshua on the other side. How much further, in feet , did Kay walk than Joshua?

∠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.

y=1/4x-4

step-by-step explanation:

t hope this

:

the answer to this would be 5x^3-6x^2-24 over 3x^2

hope this if needed hmu