The formula for the area of a parallelogram is a = bh, where
b is the base and h is the height.
which simplified expression represents the area of the
parallelogram?
(x-4) cm
| 4x3 + 14x - 24 square centimeters
2x2 - 6x2 - 14x + 24 square centimeters
4x3 – 14x + 24 square centimeters
2x3 + 6x2 + 14x + 24 square centimeters
(2x2+2x-6) cm
(not drawn to scale)

∠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.

51840000 cm 2

step-by-step explanation: