You want to buy a tent in the shape of a pyramid. the rectangular base is 35 square feet, with a height of 4 feet. what is the volume of the tent? round your answer to the nearest hundredth.

46.67 cubic feet

Step-by-step explanation:

The formula for volume of a pyramid is

V = (1/3)Bh      where B is the area of the base, and h is the height.

We are givne B = 35 and h = 4.  Plug those values in and simplify...

V = (1/3)(35)(4)

  V = (1/3)(140)

       V = 140/3

             V = 46 2/3 cubic feet, which is 46.666667, or 46.67 rounded to the nearest hundredth

∠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.

-2

7 - 9 = -2

reversed:

-2 + 9 = 7