Celina built a model of a triangular pyramid. The model's height is shown in the diagram. If the volume of Celina's model is 96.37 cubic centimeters, what is the area of the triangular base in square centimeters?

Round answer to the nearest hundredth.

12.85 square centimeters

4.28 square centimeters

38.55 square centimeters

240.925 square centimeters

The answer is 12.85

Step-by-step explanation:

The formula add up to 12.85

V=Bh

96.37=7.5

7.5B/7.5=B

B stands for base or big b

so you do the same thing to the volume

96.37/7.5=12.85

∠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.

the answer is 18 units because there are 18 small cubes inside the rectangle

hope this and p.s i am also in k12

step-by-step explanation: