Araised flower bed is 25 feet long, 8 feet wide, and 1.5 feet deep. find the area of the bed and the volume of soild it holds.

Area is 200 square feet. Volume is 300 cubic feet.

Step-by-step explanation:

Length = 25 feet.

Width = 8 feet.

Height (depth) = 1.5 feet.

Therefore, Area = L x W

Area = 25 x 8

Area = 200 square feet.

Area = 200 sq ft.

The volume = L x W x H

Volume = 25 x 8 x 1.5

Volume = 300 cubic feet.

∠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.