Hw 3.4.3
name
class
2 questions
date
solve by elimination: 3x+7y=23
-3x-7y=-17
a) no solution
b) ims
o d) (3,3)
c) (-3,3)
m have one, none or infinite solutions?

No Solution.

Step-by-step explanation:

3x+7y=23

-3x-7y=-17

0=6

no solution

∠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.

-4, -2, 1, 4

step-by-step explanation:

domain = x values

range = y values