60 pts!!
What is the product of x+5 and x2+3x-4 (write your answer in standard form)?
Please use Distributive Property. Show all work!!

hehe

Step-by-step explanation:

3 +8x^2 +11x -20

(x+5)  * (x^2+3x-4)

Multiply x * (x^2+3x-4)   = x^3 + 3x^2 -4x

Multiply 5 *  (x^2+3x-4)  =          5x^2+ 15x  -20

Add                    

366

step-by-step explanation:

∠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.