PLZ HELP I WILL GIVE YOU BRAINLIEST solve 2(x + 4) - 3(y + 2x)

x + y = -1/3.

Step-by-step explanation:

Your original equation is 2(x + 4) - 3(y + 2x)

Simplify by distributing: (2x + 8) - (3y + 6x)

You can simplify by adding like terms: 8x + 3y + 8.

You can take the move 8 to the other side to isolate: 8x + 3y = -8

You can divide by 8 to isolate x: x + 3y = -1

You can divide by 3 to isolate both variables. x + y = -1/3.

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step-by-step explanation:

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∠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.