-2(x + 3) = -2x + 3 - 9

the answer is in the picture

Have a safe and happy new years

Step-by-step explanation:

Step-by-step explanation:

The first step here is to use the distributive property to make the first equation back into a polynomial.

The way we do this is by multiplying each term on the inside of the parentheses by the -2 on the outside.

-2 x x = -2x

-2 x 3 = -6

So, our new equation reads: -2x - 6

-2x - 6 = -2x + 3 - 9

Our next step is to subtract the 9 from 3.

-2x - 6 = -2x - 6

We add 6 to each side

-2x = -2x

x = x

0 = 0

∠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.