In ΔJKL, \overline{JL}
JL
is extended through point L to point M, \text{m}\angle LJK = (2x+2)^{\circ}m∠LJK=(2x+2)

, \text{m}\angle KLM = (8x-16)^{\circ}m∠KLM=(8x−16)

, and \text{m}\angle JKL = (3x+6)^{\circ}m∠JKL=(3x+6)

. Find \text{m}\angle KLM.m∠KLM.

Answers

Answer 1

9514 1404 393

Answer:

  48°

Step-by-step explanation:

Exterior angle KLM is equal to the sum of the remote interior angles.

  ∠KLM = ∠LJK + ∠JKL

  (8x -16)° = (2x +2)° +(3x +6)°

  8x -16 = 5x +8 . . . . . . . . . . divide by °, collect terms

  3x = 24 . . . . . . . . . . add 16-5x

  x = 8 . . . . . . . . divide by 3

The measure of the angle of interest is ...

  ∠KLM = (8x-16)° = (8·8 -16)°

  ∠KLM = 48°


Related Questions

Jessicas family took a 3-hour-and-50-minute trip in a car. they left at 9:30 a.m. what time did Jessica's family arrive?

Answers

Answer:

I think the answer is 1:20 Pm

Step-by-step explanation:

Help me please AS soon as possible please just this one question

Answers

Answer:

The largest side of given triangle is: AB

Step-by-step explanation:

In order to find the largest side, we have to find all the triangles first.

The two angles at point A will sum up to 180° as the angles on the straight line are supplementary.

So,

[tex]136 + Angle\ A = 180\\Angle\ A = 180-136 = 44[/tex]

∠A = 44°

∠C = 71°

The sum of interior angles of a triangle is 180°

Using this:

∠A+∠B+∠C = 180°

44°+∠B+71° = 180°

∠B+115° = 180°

∠B = 180°-115°

∠B = 65°

In a triangle, the side opposite to the largest angle is the largest. In the given triangle, ∠C is the largest so the side AB which is opposite to ∠C is the largest.

Hence,

The largest side of given triangle is: AB

how many solutions does it have?

ill mark brainlest​

Answers

Answer:

There are no solutions

Step-by-step explanation:

Every solution is going to equal 6 instead of the designated 12.

For example if x equals 26:

6 x 26 = 156 + 2 = 158

Y = 158

3 x 158 = 474

18 x 26 = 468

474 - 468 = 6

Bella bought 22 chicken wings for $55.00. How much does each wing cost?

Answers

Answer:

Each wing costs 2.5/ 2 dollars and 50 cents.

Step-by-step explanation:

Divide 55.00 by 22= 2.5

How to check if it's right:

2.5x22=55

Answer:

$2.50

Step-by-step explanation:

the total amount divided by the number of chicken wings

55 ÷ 22

=

2.50

HELP!!
ABCD is translated to create quadrilateral EFGH.
What is the length, in units, of side EH?
Enter your answer in the box below

Answers

Answer:

8 units

Step-by-step explanation:

it should be 8, EH is practically AD, if you match ABCD's letters and numbers with EFGH's. I hope this helps!

Due to recent demand, Target
is raising the price of a certain video
game by 124%. If the game previous
sold for $25, what is the new price?

Answers

Answer:

$31.00

Step-by-step explanation:

124 x 25 = 3100, 3100 divided by 100 = 31.00

PLZ HELP MEEEEEEEEEEEE

Answers

Answer:

6. table:c graph:f

Step-by-step explanation:

sorry i need to run but thats one

the first one would be table is letter A and graph is i
second one is table is B and graph is G
the last one is table is A and graph is J

help pretty please ? :)

Answers

Answer:

B) 42

Step-by-step explanation:

PEMDAS

3^2 is 9 so,

6+9 x 4

9 x 4 is 36

6+36 = 42

The answer is 42

factor -0.9x2.7.2x + 8.1​

Answers

Answer:

− 0.018  ( [tex]7x^{3}[/tex] − 450 )

Step-by-step explanation:

because math

i need help pleaseee!!​

Answers

Answer:

y=-3

Step-by-step explanation:

slope is 0 so we know it is a straight line.

your y value is -3 so therefor is your answer

29 POINTS) fill in the blank boxes below shown

I layered the pictures together so you can see how many centimeters one of the circles is larger

Answers

The circumference of circle B is about 31.4 centimeters long. That is about 3.14 centimeters larger than the other circle's circumference.

31.40

-28.26

3.14

Answer:

1. B 2. 31.4 3. 3.14

Step-by-step explanation:

1=first blank

2 = second one

3 = third one

The difference of two numbers is 1. Their sum is 27. What are the two numbers?
Please help i have no clue how to answer this

Answers

nvm -.- ....................... one is 27 I think idk the other-

Over the past few years, Michael has increased his fee for mowing lawns from $5.00 per hour to $11.00 per hour. What percent did Michael’s fee increase?

Answers

Answer:

120%

Step-by-step explanation:

which is Not a solution for the inequality Below?
-2w - 7.25 < -3.25
A. 4
B. 0
C. 2
D. -7

Answers

Answer: D

Step-by-step explanation: -7 is not included in the shaded part of the inequality

Answer:

Step-by-step explanation:

-2w-7.25<-3.25 add 7.25 to both sides

-2w< 4  divide by -2

w< -2

W has to be smaller than -2

The smaller than -2 is -7. So all the others are not.

The value of y varies directly with x. When y= 37 1/2 , x= ¼ . What is the value of y when x= 1 ?

Answers

Answer:

150

Step-by-step explanation:

1 = 4 x 1/4 so 150 = 4 x 37 1/2

I don’t understand please help!

Answers

Answer:

x > 10/3

x will always be greater that 10/3 never the same nor less.

Step-by-step explanation:

3/5x + 1/3 < 4/5x - 1/3

3/5x - 4/5x + 1/3 < -1/3

-1/5x + 1/3 < -1/3

-1/5x < -1/3 - 1/3

-1/5x < -2/3

-1/5x/-1 < -2/3/-1   (Since it is both divided by a negative the sign switches, the sign also switches with multiplication. *Note: it only switches if it is negative!*)

1/5x > 2/3

5 • 1/5x > 2/3 • 5

x > 2/3 • 5/1

x > 10/3

What method can be used to prove the triangles below are congruent

Answers

Answer:

SSS?

Step-by-step explanation:

I don't know why the answers don't offer this an option. However, the side that shares both triangles must be congruent to itself and the other highlighted congruent parts are sides, not angles. Therefore by my calculations, the answer has to be SSS, but this isn't a choice.

Please let me know if you need more help :)

Zuri goes to a store where every item is on sale for 30% off the original price. If x represents the original price of one item, what will be the sale price of the item?

Answers

Answer:

.3x - x

Example

My item is $100

.3(100) - $100

$30 - $100 = $70

$70 is the new price

What is the Rationalize the denominator of 10/√12 ?
A: (3√2)/10
B: (5√3)/3
C: (3√5)/5
D: √12/10

Answers

Answer:

d is the answer

Step-by-step explanation:

using conjugate method

someoneee helpp pleaseeeee

Answers

Answer:

erdfghjnkmkygtfrfcghtrfghyt

Step-by-step explanation:

Write 0.75 as a fraction in simplest form. *
5/6
28/32
21/50
3/4
show work

Answers

Answer:

3/4

Step-by-step explanation:

step 1) turn 0.75 into a fraction (0.75 = 75/100)

step 2) find the greatest common factor then divide it

75/100 ÷ 25/25 = 3/4

hope this helps, mark brainliest if im right :)

is this correct HURRY I HAVE LIKE 3 MINS

Answers

Answer:

Yes its 20.9

Step-by-step explanation:

PLEASE HELP

The difference between two same-side interior angles of two parallel lines is 35 degrees. Find the measures of these two angles.

Answers

Answer:

is there a visual version of this question?

Answer:

x + y = 180          Fact about angles and parallel lines.

x - y  = 35           Given

Solution

Add the equations together

2x = 180 + 35       Combine

2x = 215                Divide by 2

2x/2 = 215/2         Divide

x = 107.5

The larger angle is 107.5

The smaller angle is 180 - 107.5 =  72.5

please help me quickly

Answers

Answer:

ive had this same question its b

Step-by-step explanation:

It would be B. I had this question recently.

Janice wants to invest $1,000. Texas Loan & Credit will offer Janice an annual simple interest rate of 6% that is paid upon withdrawal. Pecan & Cedar Savings Bank will offer Janice an interest rate of 3% that is compounded annually. Which Bank will yield better interest earnings after investing $1,000 for 2 years?

Answers

Answer:

Texas Loan & Credit will yield better interest earnings after Janice invested $1,000 for 2 years.

The interest earnings will be $120 as against Pecan & Cedar's $60.90.

Explanation:

Texas Loan & Credit:

Simple interest rate = 6%

Janice's Investment = $1,000

Interest earnings = $120 ($1,000 * 6% * 2)

Pecan & Cedar Savings Bank:

Compound interest rate = 3%

Janice's investment = $1,000

Interest earnings = $60.90 ($1,000 * 3%) + ($1,030 * 3%)

In the second year, the interest earnings of $30 are added to the principal to get a new compounded principal of $1,030 on which 3% is also applied.

seven times the sum of 4 and a number is -14

Answers

7(4 + x) = -14
28 + 7x = -14
7x = - 42
x = -6

The value of the unknown number will be equal to -6.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that seven times, the sum of 4 and a number is -14. Let the unknown number be x.

The value of the unknown number will be calculated as,

7(4 + x) = -14

28 + 7x = -14

7x = - 42

x = -6

To know more about an expression follow

https://brainly.com/question/25734188

#SPJ2

someone please help me and explain

Answers

Answer:

1 2 5

Step-by-step explanation:

can earn 5 coins
Roger paid $27.50 for a sweatshirt. This amount includes a sales tax of 10%. What was the cost of
the sweatshirt before tax?

Answers

Answer: $24.75

Step-by-step explanation: If you minus $27.50 by 10% percent you can get the answer.

Answer:

$25.00

Step-by-step explanation:

Net Amount (excluding tax) $25.00

Tax (10.0%) $2.50

Gross Amount (including tax) $27.50

in short 10% tax of $25.00 is $27.50.

Find the slope of the line (pls help ill give brainliest)

Answers

Answer: 4/1

Step-by-step explanation:

Rise over run. Up 4 over 1.

Answer:

4/1

Step-by-step explanation:

pleaseeeee give me brainliest

Need help asap plzzzzz

Answers

hang on one second and i’ll answer
Other Questions
Which of the following best describes a central idea of the passage? Why don't people get the help that they need? What do you think? (deals with mental illness) How does the value of m affect the graph of theequation? Read the passage below and answer the question.What woman needs is not a woman to act or rule, but as a nature to grow, as an intellect to discern, as a soul to live freely, and unimpeded to unfold such powers as were given her when we left our common home.What theme does Fuller develop in the above passage?the failure of the individual to connect with naturethe importance of financial successthe ability to live independently in the natural worldthe failure to realize individual potential in the natural world take on the persona of a turkey who is vying for that coveted spot of being pardoned to a life of luxurious retirement. argue why you should be chosen for the presidential pardon Plz help!?Identify the part of the graph that shows: please help SAP!!!i will give brainliest!! :) -Myrcene, a key intermediate in the production of several fragrances, is 7-methyl-3-methylene-1,6-octadiene.Draw the structure of this triene. Listen to the audio and then answer the following question. Feel free to listen to the audio as many times as necessary before answering the question. Where is the church located? a la izquierda de la discoteca - en el centro- a la derecha del centro comercial cerca del hospital ***A LA IZQUIERDA DE LA DISCOTECA*** how do I ask a girl I like to go out with me I need a woman's opinion WILL GOVE BRAINIEST Kim and Tegan train for the iron man on the weekend. They bike at a constant rate of miles per hour. The tables below show Kim and Tegans total (distance) for biking a given amount of time. Find the missing value in the chart. (highlighted yellow) What is structural and behavioral adaption? Consider a duplex molecule of length 10 Mb that has only one origin of replication located exactly in the middle. If replication proceeds bidirectionally, assuming that the rate of DNA synthesis is 1500 nucleotide pairs per second, the time needed for replication of this molecule is _____ minutes. HELPPPP MEEEEE PLEASEEEEEEE SOMEONE PLEASE PLEASE HELP MEIf you've ever tasted homemade jam, you know the delicious rewardscanning can bring. But although it is fun and rewarding, canning is notan easy task. First of all, you need to grow or buy fresh fruit and washit carefully. Then the clean fruit has to be mashed, heated to a boil, andmixed with sugar and pectin to get it to gel. Once the fruit is ready, itmust be poured carefully into clean, hot glass jars. Next, add a lid andsubmerge the jars in a boiling water bath for about 10 minutes. As theycool, the "pop" of the lid tells you they have sealed.WHICH DETAIL BEST SUPPORTS THE PASSAGES CENTRAL IDEAA. The jars used for canning must be hot as well as clean.B. In addition to fruit you can also can many vegetables C. Canning is fun but takes a lot of work and knowledge.D. If the lid doesnt pop the jar is not sealed properly A designer determined the annual profit in dollars from selling t-shirts using p(n) = 10n - 50, where n is the number of t-shirts sold. What is theannual profit if the designer sells 100 t-shirts?O $950O $1,000$10,000O $8,050 What does Mr. Frank mean by the quote, "We dont need the Nazis to destroy us. Were destroying ourselves." Until 1986 most companies would not even allow women to take the examinations, but such blatant ........... is now disappearing (1-abuse 2-discrimination 3-compassion 3-attribute) english homework The 1944 law that is commonly called the GI Bill provided federal funds to give veterans access toA. public housingB. business loansC. secondary educationD. free legal representation 1. What characteristics of sales promotions account for the high levels of expenditures that have been allocated to them in recent years?2. What role does sales promotion play in the trade channel and in business markets? 3. Why are sales promotions considered "risky" as a tool for integrated marketing communication (IMC)?