Find the y-intercept from the graph: 2 5 3 4

3

Step-by-step explanation:

The graph shows a DOWNWARD sloping line.

We are asked to find the y-intercept.

The y-intercept is the place where the line CUTS the y-axis.

The vertical axis is the y-axis and looking at the line, we see that the line cuts the y-axis at 3 units above the origin (intersection point of x-axis and y-axis).

Each unit in the graph is 1 units, so the y-intercept would be at y = 3

Or simply, the y-intercept is 3

∠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.