At the beginning of a snowstorm, Sydney had 11 inches of snow on her lawn. The snow then began to fall at a constant rate of 0.5 inches per hour. Assuming no snow was melting, how much snow would Sydney have on her lawn 3 hours after the snow began to fall? How much snow would Sydney have on her lawn after tt hours of snow falling? snow after 3 hours?=
snow after t hours?=

She would gain 1.5 inches after 3 hours. She would then have 12.5 inches on her lawn.

snow after 3 hours=12.5

snow after 1 hour=11.5

Step-by-step explanation:

1.take 0.5 and multiply it by 3 then take that and add it by 11 and that's how you get the sum for 3 hours.

2.take 0.5 and add it by 11 and that's how you get the sum for 1 hour.

∠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.