PLEASE HELP FAST ILL MARK BRAI LOST IM STRUGGLING SOLVE THIS BY USING THE SUBSTITUTION METHOD!

Step-by-step explanation:

x - 6y = 6 (1)

x + 3y + 12 = 0 (2)

From eqn (1);

x = 6 + 6y

Putting this into eqn (2);

6 + 6y + 3y + 12 = 0

9y + 18 = 0

9y = -18

y = -2

x = 6 + 6(-2) = -6

hence;

x = -6 and y = -2.

∠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.

this shows a reflection over the x-axis and is translated one unit down and 6 units to the right (x + 6, y - 1)

hope this !

~just a girl in love with shawn mendes