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Lesechka [4]
3 years ago
13

A horizontal line has points J, K, L. A line extends from point K up and to the right to point M. Angle J K M is (10 y + 6) degr

ees and angle M K L is (8 y minus 6) degrees
What is the value of y?
y =

Find the following angle measures.
mAngleJKM = °
mAngleMKL = °

Mathematics
2 answers:
Temka [501]3 years ago
8 0

Answer:

The found values are:

y = 10

<JKM = 106°

<MKL = 74°

Step-by-step explanation:

(See the diagram attached)

As JKL is a straight horizontal line, angle measure from JK to KL is 180°.

We can see in the diagram that line KM is dividing this angle of 180° into 2 unequal parts.

Which means that the sum of <JKM and <MKL is equals to 180°.

Mathematically, it can be written as:

Substitute the values of both angle to solve the equation:

(10y+6)+(8y-6) = 180\\18y=180\\y=\frac{180}{18}\\y=10

Put in the formulas of both angle to find their values:

<JKM = 10y + 6

<JKM = 10(10)+6

<JKM = 106°

<MKL = 8y - 6

<MKL = 8(10)-6

<MKL = 74°

frozen [14]3 years ago
5 0

Answer:

y = 10

<JKM = 106°

<MKL = 74°

Step-by-step explanation:

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The first graph(Left)

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Do Audience Ratings Differ Based on the Genre of the Movie? The dataset HollywoodMovies includes a quantitative variable on the
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Step-by-step explanation:

Hello!

(a) Which genre has the highest mean audience score? The lowest mean audience score?

1) Action \frac{}{X}_1= 58.63

2) Comedy \frac{}{X}_2= 59.11

3) Drama \frac{}{X} _3 = 72.10

4) Horror \frac{}{X}_4= 48.65

The lowest mean score is  \frac{}{X}_4= 48.65

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(b) Which genre has the highest median score? The lowest median score?

1) Action Me₁= 51.00

2) Comedy Me₂= 58.00

3) Drama Me₃= 72.00

4) Horror Me₄= 52.00

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The Highest median is Me₃= 72.00

(c) In which genre is the lowest score, and what is that score? In which genre is the highest score, and what is that score?

Lowest or minimum scores:

1) Action 32.00

2) Comedy 31.00

3) Drama 46.00

4) Horror 25.00

The genre with the lowest score is "Comedy"

Highest or maximum scores:

1) Action 93.00

2) Comedy 93.00

3) Drama 91.00

4) Horror 78.00

There are two genres with the highest score "Action" and "Comedy"

(d) Which genre has the largest number of movies in that category?

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1) Action n₁= 32

2) Comedy n₂= 27

3) Drama n₃= 21

4) Horror n₄= 17

The largest number of movies sampled was for the genre "Action"

(e) Calculate the difference in mean score between comedies and horror movies, and give notation with your answer, using i, for the mean comedy score and, for the mean horror score.

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Horror \frac{}{X}_H= 48.65

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I hope this helps!

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3 years ago
Einstein Office Equipment has a rental plan for office machines. A fax machine that lists for $722.98 can be rented for 22% of t
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Answer:

$13.68


Step-by-step explanation:

Assuming they rent for 1 year, the cost is broken down as follows:


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You Welcome :)!

5 0
3 years ago
PLEASE HELP ME I need an answer
son4ous [18]

Just for you beautiful!


Use distance formula: d = sqrt((x2 - x1)^2 + (y2 - y1)^2)

(11,-4) is (x1,y1) and (-12,-4) is (x2,y2)

Plug in and simplify

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d = sqrt(529)

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