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3 years ago

11

In the diagram a set of parallel lines are cut by a transversal.

2 answers:

kifflom [539]3 years ago

3 0

Answer:

C. Angle 3 and 4 are vertical angles

saw5 [17]3 years ago

3 0

Answer:

D. Angles 4 and 5 are alternate interior angles.

Step-by-step explanation:

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A survey records many variables of interest to the researchers conducting the survey. The following are some of the variables fr

Musya8 [376]

Answer:

The correct option is D

Step-by-step explanation:

A categorical variable is a variable that can take on one of a limited, and usually fixed, number of possible values, assigning each individual or other unit of observation to a particular group or nominal category on the basis of some qualitative property. Example of categorical variables are race, sex group and education level.

4 0

3 years ago

Write a definite integral that represents the area of the region. (Do not evaluate the integral.) y1 = x2 + 2x + 3 y2 = 2x + 12F

Svet_ta [14]

Answer:

$A = \int\limits^3__-3}{9}-{x^{2}} \, dx = 36$

Step-by-step explanation:

The equations are:

$y = x^{2} + 2x + 3$

$y = 2x + 12$

The two graphs intersect when:

$x^{2} + 2x + 3 = 2x + 12$

$x^{2} = 0$

$x_{1} = 3\\x_{2} = -3$

To find the area under the curve for the first equation:

$A_{1} = \int\limits^3__-3}{x^{2} + 2x + 3} \, dx$

To find the area under the curve for the second equation:

$A_{2} = \int\limits^3__-3}{2x + 12} \, dx$

To find the total area:

$A = A_{2} -A_{1} = \int\limits^3__-3}{2x + 12} \, dx -\int\limits^3__-3}{x^{2} + 2x + 3} \, dx$

Simplifying the equation:

$A = \int\limits^3__-3}{2x + 12}-({x^{2} + 2x + 3}) \, dx = \int\limits^3__-3}{9}-{x^{2}} \, dx$

Note: The reason the area is equal to the area two minus area one is that the line, area 2, is above the region of interest (see image).

3 0

3 years ago

A cube with a side length of 6 mm has a surface area to volume ratio of

Mrrafil [7]

It has a surface area to volume ratio of 1:1

3 0

3 years ago

Read 2 more answers

What fraction is greater than 0.7 but less than 0.71

alexgriva [62]

Are there any answer choices because this question has multiple answers.

4 0

3 years ago

Зу - 2(5y - 7) = -9y + 6

Iteru [2.4K]

Answer:

y = -4

Step-by-step explanation:

3y - 2(5y - 7) = -9y + 6 (Given)

3y - 10y + 14 = -9y + 6 (Distribute)

-7y + 14 = -9y + 6 (Add like terms)

2y + 14 = 6 (Add 9y on both sides)

2y = -8 (Subtract 14 on both sides)

y = -4 (Divide 2 on both sides)

You can check by substituting the solution for y:

3(-4) - 2(5(-4) - 7) = -9(-4) + 6

-12 - 2(-20 - 7) = 36 + 6

-12 - 2(-27) = 42

-12 + 54 = 42

42 = 42

4 0

3 years ago