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 = °
What is the value of y?
y =
Find the following angle measures.
mAngleJKM = °
mAngleMKL = °
2 answers:
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:
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°
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Answer:
Step-by-step explanation:
Hello!
(a) Which genre has the highest mean audience score? The lowest mean audience score?
1) Action = 58.63
2) Comedy = 59.11
3) Drama = 72.10
4) Horror = 48.65
The lowest mean score is = 48.65
The highest mean score is = 72.10
(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
The Lowest median is Me₁= 51.00
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?
The number of movies for each category corresponds to the sample sizes:
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.
Comedy = 59.11
Horror = 48.65
-
= 59.11 - 48.65= 10.46
I hope this helps!
Answer:
$13.68
Step-by-step explanation:
Assuming they rent for 1 year, the cost is broken down as follows:
Annual renting cost = 22% of 722.98 =
Usage charge = 3.2% of 159.06 =
Thus,
Total annual charge = Annual renting cost + Usage charge = 159.06 + 5.09 =164.15
Monthly rental charge would be 164.15 divided by 12 (12 months in 1 year):
dollars