3x² + 8x - 4=0
use the quadratic formula to solve the equation

x=4/14

Step-by-step explanation:

step one:

3x^2+8x-4=0 turns into -

6x+8x-4=0

Step two:

6x+8x-4=0 turns into -

14x-4=0   because you have to combine like terms

Step three:

14x-4= 0 turns into

14x=4 to get x by itself

Step four:

14x=4 turns into -

x=4/14

∠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.

its the second choice.

step-by-step explanation:

the elements in the range will be 7 less than the elements in the domain.