Liam and Sarah have each drawn a line on the scatter plot shown below: The graph shows numbers from 0 to 10 on x and y axes at increments of 1. Dots are made at the ordered pairs 1, 7 and 2, 6 and 3, 5.5 and 4, 5.8 and 4.5, 4.8 and 5, 4 and 6, 3.5 and 7, 3 and 8, 2.9 and 9, 2.2 and 10, 1.5. A straight line labeled Line A joins the ordered pairs 0, 7.2 and 10.4, 0. A straight line labeled Line B joins the ordered pairs 0, 7.2 and 9.8, 0.
Which line best represents the line of best fit?
Line A, because it shows a positive association
Line A, because it is closest to most data points
Line B, because it is closest to most data points
Line B, because it shows a negative association

Line A, because it is closest to most data points

Step-by-step explanation:

That is your answer because Line A is the closest to most of the data points, while Line B is more farther away. Also, the line of best fit has nothing to do with the positive or negative association.

Line A

Step-by-step explanation:

It is the closest to the data points

∠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.

according to this law, when unemployment goes up by 1%, gdp drops by 2%. in the question, unemployment rate goes from 2% to 5%, meaning unemployment goes up by 3%, so the gdp drops by 6%. thus the effect is a drop in gdp by 6%.

step-by-step explanation: