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2 years ago

How can you tell from the graph of Molly's garden on the previous slide that it represents a proportional relationship?

Mathematics

2 answers:

MAVERICK [17]2 years ago

6 0

Answer:

A proportional relationship is a relation of the form:

Y = A*X

This means that if we have two variables, X and Y, for each unit that X grows, Y grows A times that.

And notice that the relation:

Y/A = X

is also a porportional relationship

This relationship can be expresed in a graph as a straight line that pases through the origin and has a constant unit of growht (in this case A) that is also called the "slope" of the line.

saveliy_v [14]2 years ago

3 0

The correct answer is The graph of a proportional relationship has the same unit rate, is a straight line, and starts at the origin.

Hope this helped! :)

^-^

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Unit 3 parallel and perpendicular lines homework 4 parallel line proofs

Alex17521 [72]

Answer:

1) c ║ d by consecutive interior angles theorem

2) m∠3 + m∠6 = 180° by transitive property

3) ∠2 ≅ ∠5 by definition of congruency

4) t ║ v ${}$ Corresponding angle theorem

5) ∠14 and ∠11 are supplementary ${}$ Definition of supplementary angles

6) ∠8 and ∠9 are supplementary ${}$ Consecutive interior angles theorem

Step-by-step explanation:

1) Statement ${}$ Reason

m∠4 + m∠7 = 180° ${}$ Given

m∠4 ≅ m∠6 ${}$ Vertically opposite angles

m∠4 = m∠6 ${}$ Definition of congruency

m∠6 + m∠7 = 180° ${}$ Transitive property

m∠6 and m∠7 are supplementary ${}$ Definition of supplementary angles

∴ c ║ d ${}$ Consecutive interior angles theorem

2) Statement ${}$ Reason

m∠3 = m∠8 ${}$ Given

m∠8 + m∠6 = 180° ${}$ Sum of angles on a straight line

∴ m∠3 + m∠6 = 180° ${}$ Transitive property

3) Statement ${}$ Reason

p ║ q ${}$ Given

∠1 ≅ ∠5 ${}$ Given

∠1 = ∠5 ${}$ Definition of congruency

∠2 ≅ ∠1 ${}$ Alternate interior angles theorem

∠2 = ∠1 ${}$ Definition of congruency

∠2 = ∠5 ${}$ Transitive property

∠2 ≅ ∠5 ${}$ Definition of congruency.

4) Statement ${}$ Reason

∠1 ≅ ∠5 ${}$ Given

∠3 ≅ ∠4 ${}$ Given

∠1 = ∠5 ${}$ Definition of congruency

∠3 = ∠4 ${}$ Definition of congruency

∠5 ≅ ∠4 ${}$ Vertically opposite angles

∠5 = ∠4 ${}$ Definition of congruency

∠5 = ∠3 ${}$ Transitive property

∠1 = ∠3 ${}$ Transitive property

∠1 ≅ ∠3 ${}$ Definition of congruency.

t ║ v ${}$ Corresponding angle theorem

5) Statement ${}$ Reason

∠5 ≅ ∠16 ${}$ Given

∠2 ≅ ∠4 ${}$ Given

∠5 = ∠16 ${}$ Definition of congruency

∠2 = ∠4 ${}$ Definition of congruency

EF ║ GH ${}$ Corresponding angle theorem

∠14 ≅ ∠16 ${}$ Corresponding angles

∠14 = ∠16 ${}$ Definition of congruency

∠5 = ∠14 ${}$ Transitive property

∠5 + ∠11 = 180° ${}$ Sum of angles on a straight line

∠14 + ∠11 = 180° ${}$ Transitive property

∠14 and ∠11 are supplementary ${}$ Definition of supplementary angles

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l ║ m ${}$ Given

∠4 ≅ ∠7 ${}$ Given

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∠2 = ∠4 ${}$ Transitive property

∠2 ≅ ∠4 ${}$ Definition of congruency

∠2 and ∠4 are corresponding angles ${}$ Definition

DA ║ EB ${}$ Corresponding angle theorem

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∠8 and ∠9 are supplementary ${}$ Consecutive interior angles theorem.

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2 years ago

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ExtremeBDS [4]

Answer:

b) observing every person walking down Main Street at 5 p.m. one evening to determine the percentage of people who wear glasses.

d) taking a poll in the lunch room (where all students currently have to eat lunch) to determine the number of students who want to be able to leave campus during lunch.

Step-by-step explanation:

These are the two options that are most likely to give you a sample that fairly represents the population. In the first case, the sample that you obtain is likely to be a good representation because Main Street is a road where a great variety of people walk. Moreover, 5 pm is also a time that will allow you to see a great number of different people. The second answer will also give you a good sample, as the poll would include all students in the lunch room, which is all students in the school (the whole population).

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Ivan

Answer:

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The two cities are on the same Longitude 90°W therefore the distance between them is on a great circle

Latitude of the first city = 23°N

Latitude of the second city = 36° N

Because their latitude are on the same polar axis, we subtract to get the angular difference