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vazorg [7]
2 years ago
9

Direct Variation, Constant of Proportionality, and Constant Rate of Change all represent linear proportional relationships.

Mathematics
1 answer:
sweet-ann [11.9K]2 years ago
6 0

Answer:

y = dependent variable

k = constant of proportionality or constant rate of change

x = independent variable

Step-by-step explanation:

The equation, y = mx represents a direct variation showing a proportional relationship between variable y and variable x.

y represents the dependent variable

k represents the constant of proportionality or constant rate of change

x represents the independent variable

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Two lines intersect to form angles 1, 2, 3, and 4 as given. The measure of ∠3 is 38°. What is the measure of ​∠2​ ?
ss7ja [257]

Answer:

142° is the measure of angle 2.

Step-by-step explanation:

When two lines intersect, they make four angles. The angles facing each other are equal.

Let's say that two lines a and b intersected each other to make angles 1,2,3 and 4 respectively.

The measure of angle 3 = 38 degrees.

We know that the angle 1 is against angle 3 and is equal to 38.

Also Angle 2 and Angle 4 are also against each other and are equal let's say equal to x degrees.

Now, the sum of all four angles = 360 degrees

∠1 + ∠2+ ∠3 + ∠4 = 360°

38° + x + 38° + x = 360°

2x = 360° - 76°

2x = 284°

x = 142°

Hence, ∠2 = 142°

3 0
3 years ago
Read 2 more answers
Write the fraction as a difference 3x - 7/12
emmainna [20.7K]
➡3x - ( 7 over 12)

➡ [12 (3x ) - 7 ] over 12

➡ ( 36x - 7 ) over 12
4 0
3 years ago
What group of numbers does -2 belong to?
Marizza181 [45]
Answer: Integers and Rational Numbers

Explanation: -2 is an integer because integers include positive an negative numbers. It would not be a whole number or a Naural number because both of those sets only include positive numbers. Here’s a better explanation:

Natural numbers: Natural Numbers are like (1,2,3....). They only include positive numbers. Therefore, -2 does not belong in this category.

Whole Numbers: Whole Numbers are like (0,1,2,3....). They include all the natural numbers with 0. Therefore, -2 does not belong in this set.

Integers: Integers include both positive and negative numbers. They are like (-3,-2,-1,0,1,2,3....). Since they both have positive and negative numbers, -2 would belong in this set.

Rational Numbers: Rational Numbers include ALL the sets that were described. (Natural, Whole, Integer). Since this set also includes positive and negative numbers, -2 would belong in this set.

So, -2 belongs in Integers and Rational Numbers

Hope this helps!
3 0
3 years ago
a 60 foot tree casts a shadow 85ft long. the sine of the angle between the ground and the line that connects the tip of the shad
Jet001 [13]
The shadow to the top of the tree is 60 ft it all makes sense
8 0
3 years ago
The vertex form of the equation of a parabola is y= 3(x - 4)^2 -22. What is the standard form of the equation
Sunny_sXe [5.5K]

Answer:

option A

Step-by-step explanation:

We can find the standard form by expanding the equation:

y = 3(x-4)^2 - 22

y = 3(x^2 - 8x + 16) - 22

y = 3x^2 - 24x + 48 - 22

y= 3x^2 - 24x + 26

So the correct option is option A

8 0
2 years ago
Read 2 more answers
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