Drag each label to the correct location on the flowchart.
Given: Line l and line m intersect
Drag each label to the correct location on the flowchart. - 1


Answer 1

The line l and and m are intersect so to proof that the angles are supplementary to one another by using linear pair theorem.

Theorem of linear pairs:

The linear pair postulate or linear pair theorem in mathematics says the same thing.  If two angles form a linear pair, their measures add up to 180.

Two angles are supplementary when their measures equals to 180 degrees.

∠2 is supplement to ∠3

∠2 + ∠3 = 180°

∠3 is supplement to ∠4

∠3 + ∠4 = 180°

∠1 is supplement to ∠4

∠1+ ∠4 = 180°

∠2 is supplement to ∠3

∠2 + ∠3 = 180°

∠1 is supplement to ∠2

∠1 + ∠2 = 180°

Hence , through linear pair theorem : ∠1 is supplement to ∠2 and ∠2 is supplement to ∠3

The two angles are congruent if they are supplements of the same angle—also known as congruent angles.

Because angles 1 and 3 are supplements of the same angle 2, we can draw the following conclusion from the preceding statement:

∠1 ≅ ∠3 (congruent supplements theorem)

Learn more about linear pair :



Answer 2

Final answer:

The question discusses intersecting lines in geometry. Two lines intersect when they cross at a single point, creating four angles. A flowchart on this can identify the lines, show the intersection, define the intersection point and the resulting angles.


This question relates to the fields of geometry, specifically the concepts of intersecting lines. If lines l and m intersect, it means they cross at a single point. This point of intersection splits each line into two parts and creates four angles.

When creating a flowchart, the first step could be to identify line l and line m. Then, you would show the intersection of these two lines. Next, you define the intersection point and analyze the angles formed by the intersection. The flowchart would end with a statement affirming that lines l and m intersect, creating four angles.

Learn more about Intersecting Lines here:



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Ecosystem services supported by the estuarine environment include all of the following except: A. biological habitat. B. trapping pollution. C. groundwater supply. D. storm buffering. E. marinas.



Option (E)


The estuarine environment is usually referred to that region where there occurs constant mixing of the fresh and saline water. It can also be simply said as the meeting point of the freshwater and saline water. It is mainly comprised of fine-grained sediments such as clay, silt and fine sand, which are transported from both the sea and the rivers.

It also includes the biological habitat as there occurs different species of organisms in this environment. Pollution also occurs in this region, and the supply of groundwater also takes place here. Storm is common in this region when the weather is not favorable.

The marinas are not included as it covers the vast oceans and the deep-sea environment, and which is not a part of the estuarine ecosystem.

Thus, the correct answer is option (E).


E. marinas.


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What mathematical term can we use to describe the relationship between energy and matter movement in a longitudinal wave?"Energy and the wave are moving in the same direction"


Right Angle



Longitudinal waves describe the relationship of an energy flow and wave moving i.e. when they move in same direction are always parallel

What is longitudinal waves?

Waves moving in the same direction of the vibration, are called Longitudinal waves. It describes the relationship between  the matter movement and the energy flow.

So it can be said that energy and the wave are moving in the same direction are parallel to each other.

Therefore, it's appropriates to say they energy and wave move in the same direction in a longitudinalwave are parallel to each other.

Learn more about longitudinal waves here:


Answer- Parallel.

In-Line Answer:-

In a longitudinal wave, "Energy and the wave are moving in parallel direction"

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