How are line graphs used to show how two variables are related?

Mathematics

1 answer:

Komok [63]3 years ago

5 0

A line graph is characterized by a correlation in the form of a line. The dependent variable is placed on the y-axis and the independent variable is on the x-axis. You can see their relation in terms of the slope. By definition, the slope is the ratio of the change of the y-coordinates to the change of the x-coordinates (Δy/Δx). Visually, you can determine the relationship of the variables by the orientation of the line as shown in the graph. If the slope is increasing, it means that the two variables are increasing together. If the slope is decreasing, it means that when x increases, y decreases. In other words, they are inversely proportional. You can also note the extent of change by knowing which has the greater slope.

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Step 1: We know that Angle A B C Is-congruent-to Angle F G H because all right angles are congruent. Step 2: We know that Angle

Gemiola [76]

Triangles FGH and ABC are congruent because of the: AAS congruence theorem.

<h3>What is the AAS Congruence Theorem?</h3>

The AAS congruence theorem states that when two angles and one non-included side in one triangle are congruent to corresponding two angles and one non-included side in another triangle, then both triangles are congruent.

In the proof given, it is established that both triangles have two corresponding congruent angles, and also, BC ≅ GH which are non-included sides.

Therefore, both triangles are congruent because of the AAS congruence theorem.

Learn more about the AAS congruence theorem on:

brainly.com/question/3168048

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