Which equation represents the line shown on the graph?

y=2x

Step-by-step explanation:

The equation for slop-intercept form is y=mx+b where m is the slope and b is the y-intercept.

2 represents the rise/over since you rise 2 units (up) and run 1 unit (to the right). So the slope is 2/1 or just 2, and then you multiply it by x to get 2x.

The line starts at the origin (0,0), so the y-intercept would be 0. They didn't say y=2x+0 because the + 0 wouldn't change the line.

answer: the answer is 35%

∠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.