In AJKL, JL is extended through point L to point M, mZLJK = (2x + 2)°,
mZKLM = (82 – 16)°, and m/JKL (3x + 6)". Find mZKLM.
Answers
Answer:
<KLM = 48 degrees
Step-by-step explanation:
According to the instructions, we construct the triangle JKL and extend the side JL to point M. The information about the angles is shown in the attached image.
Recall that the addition of all internal angles of a triangle must give 180 degrees.
The angles we need to complete the addition is angle <JLK, which happens to be the supplementary angles to angle <KLM
Therefore <JLK = 180 - (8 x - 16) = 180 - 8 x + 16 = 196 - 8 x
The we can now solve for "x" in the equation of addition of internal angles of a triangle:
(2 x + 2) + (3 x + 6) + (196 - 8 x) = 180
Combining like terms on the left
- 3 x + 204 = 180
subtracting 204 from both sides:
- 3 x = 180 - 204
- 3 x = - 24
divide both sides by "-3" to isolate x
x = - 24 / (-3)
x = 8 degrees
Now that we know "x", we can find the measure of angle <KLM via its formula:
<KLM = 8 x - 16 = 8 (8) - 16 = 48 degrees
Related Questions
What is the value of y?
B
60°
12
12
ro
60°
А
12 to 60
Answers
answer 60°
solve:180°-(60°+60°)
180°-120°
60°##
Bob wants to rent a car for one day. He contacted two companies. Enterprise Rentals charges $100 plus $3 per mile. Hertz Rental charge $8 per mile. After how many will the total cost for both companies be the same ?
Answers
Answer:
20 miles.
Step-by-step explanation:
To solve this problem, we will have to set two expressions representative of Enterprise Rentals & Hertz Rental equal to each other.
Let [tex]m[/tex] equal the number of miles.
If Enterprise Rentals charges $100 plus $3 per mile, we can represent this as:
[tex]100+3m[/tex]
If Hertz Rental charges $8 per mile, we can represent this as:
[tex]8m[/tex]
Set the expressions equal to each other:
[tex]8m=100+3m[/tex]
Subtract [tex]3m[/tex] from both sides of the equation:
[tex]5m=100[/tex]
Divide both sides of the equation by the coefficient of [tex]m[/tex], which is [tex]5[/tex]:
[tex]m=20[/tex]
Therefore, after 20 miles, the total cost for both companies will be the same.
_
Check your work by substituting the solved value of [tex]m[/tex] (20), into the initial equation:
[tex]8(20)=100+3(20)[/tex]
[tex]160=100+60[/tex]
[tex]160=160[/tex]
As the total costs are equal to each other, our answer is correct!
Answer:
20 miles
Step-by-step explanation:
160=$3(20)=100
8x20=160
If a certain sum of money can become
5 times of its principal in 10 years, then
the rate of interest is
Answers
Question, simple interest or compounded?
Simple interest accumulated on a sum for 10 years will double in 10 years with an interest rate of 10%. Now, if you want it to accumulate five times principle, the interest rate will have to be: P(i)(10)=5P. Modifying the equation, we could get: (i)(10)=5. Alas, (.5)(10)=5. 50% is the rate for simple interest.
However, we started out with an amount, and your question asks at what rate will our original investment increase to five times the original amount. So, our equation must be modified: P(i)(10)= 5(P)-P. So, working the equation, i (10)=5(P)-P/P. 5xP-P= 4(P)/P. To restate, i(10)+P=5P. Also, i(10)=4P. Further, i =4P/10. I = .4, or 40%.
As proof, if a sum earns 4 each year for 10 years, the product is 40. If the investment earns 4 per year, at 40% interest, that investment must be 10. 40+10=50.
Compounding, we will have the following equation: P(1+i)^10=5P. P(i)^10=5.
Modified, 5=1(i)^10. \/5^10= 1.1746. Subtracting 1, results in 17.46% interest rate. (1.1746)^10=4.999. 4.999(1)=~5.
what is the pattern 2 10 40 120
Answers
Answer:
2 plus 3
Step-by-step explanation:
Rewrite each equation in slope-intercept form, if necessary. Then determine whether the lines are perpendicular. x = 9 y = -1 Are the lines perpendicular?
Answers
Answer:
[tex]x = 9[/tex] and [tex]y = -1[/tex] are perpendicular to each other.
Step-by-step explanation:
From Analytical Geometry we know that horizontal lines are of the form:
[tex]y = a[/tex], [tex]\forall \,a\in\mathbb{R}[/tex] (Eq. 1)
Where:
[tex]y[/tex] - Dependent variable, dimensionless.
Which means that for all value of [tex]x[/tex] (independent variable) has [tex]a[/tex] as their image. If we write this equation in slope-intercept form, we get that:
[tex]y = 0\cdot x + a[/tex] (Eq. 1b)
Where slope is the ratio of the change in dependent variable to the change in independent variable.
Whereas vertical lines have the following one:
[tex]x = b[/tex], [tex]\forall \,b\in\mathbb{R}[/tex] (Eq. 2)
Where:
[tex]x[/tex] - Independent variable, dimensionless.
Which means that for all value of [tex]y[/tex] (dependent variable) has [tex]b[/tex] as their image.
If we write this equation in slope-intercept form, we get that:
[tex]x = 0\cdot y + a[/tex] (Eq. 2b)
Where slope is the ratio of the change in independent variable to the change in independent variable.
In addition, we must remember that two lines perpendicular to each other observe the following relation:
[tex]m_{A} = -\frac{1}{m_{B}}[/tex] (Eq. 3)
Where [tex]m_{A}[/tex] and [tex]m_{B}[/tex] are the slopes of each line. It is quite evident that if [tex]m_{A} = 0[/tex], corresponding to a horizontal line, then [tex]m_{B}[/tex] becomes undefined, corresponding to a vertical line.
In consequence, we come to the conclusion that [tex]x = 9[/tex] and [tex]y = -1[/tex] are perpendicular to each other.
My math teacher,mr.numeric, went to the auto show last weekend. I made the mistake of asking him what he saw.here was his response: I’m glad you asked. I made several interesting observations. As you might have guessed, every red car was a sports car, but I found it odd that half of all the blue cars were sports cars. Interestingly, a salesman told me that half of all the sports cars were red. I counted 40 blue cars and 30 red cars. Now can you tell me how many sports cars were neither blue nor red?
Answers
Answer:
10
Step-by-step explanation:
all red cars were sports cars (30) half of the blue cars were sports cars (20) if 30 is half of all the sports cars, and 20 is 2/3 of half, then the 1/3 left is 10.
The police department of UCR is looking to collect more fines for speeders on campus. (They are turning to speeding because they cannot extract any more money out of people for parking illegally!) They record the speeds on West Campus Drive for a year and find that the average speed is 31.0 miles per hour with a standard deviation of 2.0. The data is approximated by a normal distribution. The top five percent (5%) of speeders will get tickets. What speed must you be going before getting a ticket
Answers
Answer:
≥ 34.29 mph
Step-by-step explanation:
Given that:
Distribution is normal :
Mean(m) = 31 mph
Standard deviation = 2 mph
Speed of top 5%
Top 5% = bottom (100% - 5%) = 95% = 0.95
Zscore which corresponds to 0.95 = 1.645
Using the Z formula:
Zscore = (score - mean) / standard deviation
1.645 = ( score - 31) / 2
Croas multiply:
2 * 1.645 = score - 31
3.29 = score - 31
3.29 + 31 = score
34.29 = score
Hence, speed must be greater than or equal to 34.29 mph
On a number line, what is the distance between -1.75 and 2.5 help meerr
Answers
Answer:
4.25
Step-by-step explanation:
-1.75+x=2.5
x=4.25
List and describe the characteristics of a wave
Answers
Answer:
Crest = Highest point of the wave.
Trough = Lowest point of the wave.
Wavelength = Distance from one crest/trough to the next (m)
Wave Height = Height from trough to crest (m)
Wave steepness = ratio of wave height to wavelength.
Amplitude = distance from the centre of wave to the bottom of the trough (m)
Step-by-step explanation:
Which expression is equivalent to - 3/4 divided (-8/12)
Answers
Answer:
3/4
Step-by-step explanation:
There are no answer choices so I just solved the equation
-3/4 divided by -8/12
Flip -8/12 to -12/8
Multiply -3/4 by -12/8
24/32
Simplify.
12/16
Simplify some more.
6/8
Simplify even more.
3/4
Hope I helped :)
Please consider Brainliest
50 BRAINLY POINTS PLS HELP
Answers
Answer:
Hello!!! erz here ^^
Step-by-step explanation:
I believe the answer is y = 8x - 3 (Option B)
Hope this helps!! :D
Which equation would you choose in order to most easily identify the vertex?
K
y = 9x4 + 6x2 +1
y = x2 + 6x + 9
y = (x + 6)(x + 9)
y = (x + 6)2 +9
a 5
Answers
Answer:
last
Step-by-step explanation:
Robert earned $300 for 6 hours of work. How much did he make in dollars per hour?
Robert earned $
per hour
Will mark brainliest
Q
Answers
Answer:
$50
Step-by-step explanation:
HELP IM GIVING BRAINLIEST
Answers
Adrianna can read 7 pages in 10 minutes. At this rate,
how many pages can she read in 25 minutes?
Answers
Answer:
17.5 page in 25 minutes
Step-by-step explanation:
We can use ratios to solve
7 pages x pages
------------- = ----------------
10 minutes 25 minutes
7 * 25 = 10 x
175 = 10x
Divide by 10
175/10 = 10x/10
17.5 =x
17.5 page in 25 minutes
Answer:
17.5 pages
Step-by-step explanation:
What I did was I multiplied 7 by two then separately I divided seven by 2 and it gave me 3.5 so I added 14 and 3.5
Find the slope plus extra pts
Answers
Answer:
The Slope is -4
m = -4
Step-by-step explanation:
Hopefully this Helps! If this wasn't the answer you were looking for please don't hesitate to either comment here or private message me! Have a nice day/night! :))
Order from least to greatest.
0.67, 0.5, 3/5
Answers
Answer:
0.5, 0.6(3/5), 0.67
A cheese maker changes the temperature of her milk at a rate of -2 per minute. What is the change in the temperature of the milk after 25 minutes?
please be sure about your answer !!
Answers
Answer:
-50
Step-by-step explanation:
25 * -2 = -50
Answer:
The change of temperature of the milk after 25 minutes will be -50 degrees because a rate of -2 per minute would be 25 times -2 Have a nice day! :)
After how many weeks will Donald and Ralph have the same amount of money saved?
A-6wks
B-20wks
C-12wks
Answers
how many solutions does this equation have? 2x+7=2x
Answers
Answer:
no solution
Step-by-step explanation:
A plating company has two silver plating systems with variances σ12 and σ22. You, as the manager, desired to compare the variability in the silver plating done by System-1 with that done by System-2. An independent random sample of size n1= 12 of the System-1 yields s1 = 0.038 mil and sample of size n2= 10 of System-2 yields s2 = 0.042 mil. We need to decide whether σ12= σ22 with α = 0.05. What is the rejection region?
Answers
Answer:
The rejection region is
[tex]F_{cal} < F_{{1-\frac{\alpha}{2}} , df_1 , df_2 }[/tex]
or [tex]F_{cal} > F_{{\frac{\alpha}{2}} , df_1 , df_2 }[/tex]
and
From the value obtained we see that
[tex] F_{cal} < F_{\frac{\alpha }{n} , df_1 , df_2 } [/tex] Hence
The decision rule
Fail to reject the null hypothesis
The conclusion
This no sufficient evidence to conclude that there is a difference between the two variance
Step-by-step explanation:
From the question we are told that
The first sample size is [tex]n_1 = 12[/tex]
The first sample standard deviation is [tex]s_1 = 0.038 \ mil[/tex]
The second sample size is [tex]n_2 = 10[/tex]
The first sample standard deviation is [tex]s_2 = 0.042 \ mil[/tex]
The significance level is [tex]\alpha =0.05[/tex]
The null hypothesis is [tex]H_o : \sigma^2_1 = \sigma^2_2[/tex]
The alternative hypothesis is [tex]H_o : \sigma^2_1 \ne \sigma^2_2[/tex]
Generally the test statistics is mathematically represented as
[tex]F_{cal} = \frac{s_1^2 }{s_2^2}[/tex]
=> [tex]F_{cal} = \frac{ 0.038^2 }{0.042^2}[/tex]
=> [tex]F_{cal} = 0.81859[/tex]
Generally the first degree of freedom is [tex]df_1 = n_1 -1 = 12-1 = 11[/tex]
Generally the second degree of freedom is [tex]df_2 = n_2 -1 = 10 -1 = 9[/tex]
From the F-table the critical value of [tex] \frac{\alpha}{2}[/tex] at the degrees of freedom of [tex]df_1 = 11[/tex] and [tex]df_2 =9 [/tex] is
[tex]F_{\frac{\alpha }{n} , df_1 , df_2 } = 3.91207[/tex]
The rejection region is
[tex]F_{cal} < F_{{1-\frac{\alpha}{2}} , df_1 , df_2 }[/tex]
or [tex]F_{cal} > F_{{\frac{\alpha}{2}} , df_1 , df_2 }[/tex]
and
From the value obtained we see that
[tex] F_{cal} < F_{\frac{\alpha }{n} , df_1 , df_2 } [/tex] Hence
The decision rule
Fail to reject the null hypothesis
The conclusion
This no sufficient evidence to conclude that there is a difference between the two variance
Solve each problem. Show all your steps
-2 1/2 dived by 1 7/8
Answers
Answer:
1.4
Step-by-step explanation:
A bakery sells 20 pies, 30 cakes, and 35 muffins on Saturday. The bakery sells
10 pies, 18 cakes, and 28 muffins on Sunday. Which ratio is the smallest?
O A. Number of pies to cakes sold on Saturday
B. Number of cakes to muffins sold on Saturday
C. Number of pies to cakes sold on Sunday
D. Number of cakes to muffins sold on Sunday
Answers
6. Rachel's garden is square in shape. The length of one side of her garden is 52 feet. What is the area of her garden in square feet? Express your answer using exponents.
Answers
Answer:
52^ 2 because this is equal to the area which is 2704 sq ft. So 52 to the second power is your answer.
Step-by-step explanation:
Select all of the zeros of the function f(x)=(3x−4)(x+2).
4
2
43
− 43
− 2
− 4
Answers
Answer:
64784 is the answer of the question here in this article
Step-by-step explanation:
mark me BRAINLIEST
What type of connection can you make between markups and tips or taxes? What type of connection can you make between markdowns and discounts? Explain your answer.
Answers
Answer:
Markdowns are the same as discounts. The type of connection between markdowns and discounts is that they all take a percent off a bill or a check, which can involve subtracting and/or dividing. On the other hand, tips and taxes add money. (this is the same with markups.)
Step-by-step explanation:
XD i used this "explanation" and got it correct, it's basically exactly what that guy said but this version is more elaborate, and won't make your teachers suspect anything...xDDD
5 square root of 2 help please
Answers
hope this is helpful! XD XD
ASTRONOMY-
what would happen if the moon didn't revolve around the earth although its rotation on its axis remained the same.
WIll mark brainliest pls help
Answers
Answer:
I believe this would have a affect on the ocean as the moon controls the waves and i believe it would also affect the wind as well
Step-by-step explanation:
Because everyone is always driving above the speed limit, the police implement a new policy: ticket anyone who drives 1.5 standard deviations above the average. At a major freeway, the average speed in the evening is 75 MPH. The standard deviation is 7 MPH. Michael finds himself driving at 84 MPH during an evening on this freeway. At a major street, the average speed is 43 MPH. The standard deviation is 4 MPH. Nico finds himself driving at 50 MPH. Use the information above to determine who will get a speeding ticket?
Answers
Answer:
Michael is within the speed limit regulation he won´t get any ticket
Nico is over speed limit then he should be ticket
Step-by-step explanation:
Case A conditions in a freeway evening average speed 75 MPH the
standard deviation is 7 MPH
Then according to new policy 75 + 7* ( 1,5 ) = 75 + 10,5 = 85,5 MPH
Michael is driving at 84 MPH then he has no problem at all
Case B conditions in a major street average speed 43 MPH the standard deviation is 4 MPH
According to the new policy 43 + 4 *(1,5) = 43 + 6 = 49 MPH
Nico is driving at 50 MPH then Nico will be ticket
The area, a, of a square whose side length is n
Answers
Answer:
a*n=area
Step-by-step explanation:
