Examine the two systems shown. What was
done to the leftmost system to create the
system to the right? Do the systems have
the same solution?
[tex]Examine the two systems shown. What wasdone to the leftmost system to create thesystem to the right?[/tex]
i pretty sure it is [tex]\frac{9}{500}[/tex]
The correct answer is c
answer: (c) m∠qpo + (2x + 16)° = 180°
step-by-step explanation:
the opposite angles of a quadrilateral are supplementary.
so, ∠o + ∠q = 180° and ∠p + ∠r = 180°
since ∠r = 2x + 16°, we can use substitution as follows:
∠p + ∠r = 180°
∠p + (2x + 16)° = 180°
∠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.