What is the product of x-3 and 4+x

x2+11x+28

Step-by-step explanation:

We have two binomials, so we can use the highly useful mnemonic FOIL to helps us:

Multiply the first terms:  

x

⋅

x

=

x

2

Multiply the outside terms:  

x

⋅

4

=

4

x

Multiply the inside terms:  

7

⋅

x

=

7

x

Multiply the last terms:  

7

⋅

4

=

28

Thus,  

(

x

+

7

)

(

x

+

4

)

multiplies out to  

x

2

+

4

x

+

7

x

+

28

, which can be simplified to:

x 2 +11 x + 28

Hope this helps!

∠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.