Solve for x

-3(-3x-1) +2x+2=27

Step-by-step explanation:

So we have the equation:

First, distribute the -3:

Combine like terms:

Subtract 5 from both sides:

Divide both sides by 11:

So, the value of x is 2.

And we're done!

Steps to solve:

-3(-3x - 1) + 2x + 2 = 27

~Distribute

9x + 3 + 2x + 2 = 27

~Combine like terms

11x + 5 = 27

~Subtract 5 to both sides

11x = 22

~Divide 11 to both sides

x = 2

Best of Luck!

∠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.

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