What is the volume in cubic inches?

Answer

A) 2160 cubic inches

Step by step explanation

Volume of a rectangular prism = length *width*height.

The give figure (stairway) consists of two rectangular prism.

The volume of the first rectangular prism (bigger one) = 12 *10*12

=120*12

1 st prism = 1440 cubic inches

The volume of the rectangular prism 2 (smaller one) = 12*10*6

=120*6

The volume of the rectangular prism 2 = 720 cubic inches

The volume of the concrete stairway = Volume of the prism 1 + Volume of the prism 2

= 1440 + 720

The volume of the concrete stairway = 2160 cubic inches.

Thank you.

∠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.

$650 per month plus utilities

step-by-step explanation:

just based on the info you gave, it would seem more cost effective to rent at $650 per month plus utilities.   if utilities are, in fact, $150 per month, your monthly living costs would be $800 as opposed to the other option of $825.