In AJKL, JL is extended through point L to point M, mZLJK = (2x + 2)°,
mZKLM = (82 – 16)°, and m/JKL (3x + 6)". Find mZKLM.

In AJKL, JL Is Extended Through Point L To Point M, MZLJK = (2x + 2),mZKLM = (82 16), And M/JKL (3x +

Answers

Answer 1

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

In AJKL, JL Is Extended Through Point L To Point M, MZLJK = (2x + 2),mZKLM = (82 16), And M/JKL (3x +

Related Questions

Given that a=4,b=2 and c=-1, find the value of a-b+c

Answers

Answer:

1

General Formulas and Concepts:

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

a - b + c

a = 4

b = 2

c = -1

Step 2: Solve

Substitute:                         4 - 2 - 1Subtract:                            2 - 1Subtract:                            1

9.831 rounded to the nearest tenth

Answers

Answer:

9.8

Can i get brainliest please?

Answer:

9.8

Step-by-step explanation:

Hoped that helped :)

4.20. According to a report released by the National Center for Health Statistics, 51% of U.S. households has only cell phones (no land line). According to the FCC, nearly 70% of the U.S. households have high-speed Internet. Suppose of the U.S. households having only cell phones, 80% have high-speed Internet. A U.S household is randomly selected. a. What is the probability that the household has only cell phones and has high-speed Internet

Answers

Answer:

The probability that the household has only cell phones and has high-speed Internet is 0.408

Step-by-step explanation:

Let A be the event that represents U.S. households has only cell phones

Let B be the event that represents U.S. households have high-speed Internet.

We are given that 51% of U.S. households has only cell phones

P(A)=0.51

We are given that 70% of the U.S. households have high-speed Internet.

P(B)=0.7

We are given that U.S. households having only cell phones, 80% have high-speed Internet. A U.S household is randomly selected.

P(B|A)=0.8

[tex]\frac{P(A\capB)}{P(A)}=0.8\\P(A\capB)=0.8 \times P(A)\\P(A\capB)=0.8 \times 0.51\\P(A\capB)=0.408[/tex]

Hence the probability that the household has only cell phones and has high-speed Internet is 0.408

Solve the system of equations: y=x^2, y=x+6

A.(3,9)
B.(-3,9),(2,4)
C. (-2,4),(3,9)
D.(-2,-4),(3,9)

Answers

The answer is C. (-2,4), (3,9)

Melissa and Tomas are playing a game with complex numbers. If Melissa has a score of 5 – 4i and Tomas has a score of 3 + 2i, what is their total score?

Answers

Answer:

8 - 2i

Step-by-step explanation:

Just add the real parts together and then add the imaginary parts together

5 + 3 = 8

-4i + 2i = -2i

8 - 2i

Answer:

8-2i

Step-by-step explanation:

Micah found the least common multiple of 8 and 12. His work is shown below.

Multiples of 8: 8, 12, 16, 20, 24, 28, . . .
Multiples of 12: 12, 24, 36, 48, 60, . . .

The least common multiple is 12.

What is Micah’s error?

Answers

Answer:when he was doing the multipleis of 8 he put 20 when there is no 20

Step-by-step explanation:

He forgot the 20 when he was doing the 8

PLS HELP QUICKLY WILL GIVE BRAINLIEST

Answers

Answer:

the first one

Step-by-step explanation: it is your answer because when you solve it i gt that answer i calculated it in a calculator and then showed to the teahcre and said that it was crrect please mark me as brainlist

Main Menu
Solve the equation
Unit 2
- 8c+7= -25
Section 3.2
Section 3.3
Section 9.3
Section 9.5
Section 9.6

Answers

Answer:

c = 4

Step-by-step explanation:

Solve for"c" in the following equation:

- 8 c + 7 = - 25

Subtract 7 from both sides:

- 8 c = - 25 - 7

combine like terms

- 8 c = -32

divide both sides by "-8" to isolate c on the left

c = - 32 / (-8)

c = 4

Use a number line to show the sum of 6+(-7) ?

Answers

Answer:

-1

Step-by-step explanation:

When you make the number line, go to the middle then move left once. Then mark that  " -1 " and you put the dot over that.

It's hard to explain how to write number lines.

Anyways, the problem equals -1 because 6-7 is negative 1. The + is there to confuse you.

Mark brainliest if possible please :)

(30 POINTS NEED HELP FAST)
A line has a slope of 2 and goes through the point (4,−3). What is the equation of this line in Standard Form?

−2x+y=−5

2x+y=−5

−2x+y=5

−2x+y=−11

Answers

Answer: −2x+y=−11

(4,-3) = −2x+y=−11.

Answer: −2x+y=−11.

Will give brainliest!
a
(1, 3) and (2, 7)
b
(3, 8) and (5, 12)
c
(1, 3) and (6, 13)
d
(5, 12) and (6, 13)

Answers

Answer:

B

Step-by-step explanation:

I think its B because the line would be closest to the rest of the dots in the graph. I hope its right!

What is
41/6
as a mixed number in simplest form?
Enter your answer in the box.

Answers

Answer:

6 1/6

Step-by-step explanation:

six goes into 42 seven times that leaves you with one number so it can go in six times evenly and that leaves you with 1/6

The answer is as a mixed number is 6 1/6

Every day you collect 8 pennies and keep them in a jar. The first day you have 8, the second day you have 16, etc. How many pennies do you have on the 113th day?​

Answers

Answer:

904

Step-by-step explanation:

8 x 113 = 904

I think it is 904
Hope this helps!!!!!

Some one please help it’s subtracting fractions

Answers

Convert any mixed numbers to fractions.

Then you get your initial equation

Applying the fractions formula for subtraction

Simplifying 72/16, the answer is

4 1/2

231km 118m - 485km 829m in the smallest unit

Answers

Answer:

Uhhhhhh

Step-by-step explanation:

ABUNDA LA CACA BDHDHENSNGAGVD

Answer:

hard

Step-by-step explanation:

Suppose a​ carpenter's ruler was marked in​ thirty-seconds. What would be the fraction and its decimal equivalent for the mark on the ruler between 29/32 and 30/32​?

Answers

Answer:

the fraction and its decimal equivalent for the mark on the ruler

= 59/64 = 0.921875

Step-by-step explanation:

Given that;

A CARPENTER 's ruler is marked in thirty  seconds

mark on the ruler between 29/32 and 30/32​ is the average of the values

we know that average is the summation of all terms divided by the number of appearance of terms

so

= (29/32 + 30/32​) / 2

= ((29 + 30) / 32) / 2

= (59 / 32) / 2

= 59 / 64

= 0.921875

therefore the fraction and its decimal equivalent for the mark on the ruler = 59/64 = 0.921875

. An independent-measures research study was used to compare two treatment conditions with n=12 participants for each treatment. The first treatment condition had M=55 with a variance of s2=8, and the second treatment condition had M= 52 and s2=4. Look up the appropriate critical value based on your computed degrees of freedom. Do these data indicate a significant difference between the two treatments

Answers

Answer:

Decision rule  is  

Fail to reject the null hypothesis

 The conclusion is  

There is sufficient evidence that indicate that there is a significant difference between the two treatments

Step-by-step explanation:

From the question we are told that  

    The sample size is  n =  12

    The first  mean is  [tex]M_1  =  55[/tex]

    The variance is  [tex]s^2_1 =  8[/tex]

    The second mean is  [tex]M_2  =  52[/tex]

     The second variance is [tex]s^2_2 =  4[/tex]

Let the level of significance be  [tex]\alpha  =  0.05[/tex]

The null hypothesis is  [tex]H_o  :  M_1 = M_2[/tex]

The alternative hypothesis is [tex]H_a  :  M_1 \ne M_2[/tex]

  Generally the test statistics is mathematically

     [tex]t = \frac{M_1 - M_2 }{ \sqrt{\frac{s_1^2}{n_1} +\frac{s_2^2}{n_2}} }[/tex]

=>   [tex]t = \frac{55 - 52 }{ \sqrt{\frac{8}{12} +\frac{4}{12 }} }[/tex]

=>   [tex]t = 1.1619 [/tex]

Generally the degree of freedom is mathematically represented as

      [tex]df = 12 -1[/tex]

=>    [tex]df = 11 [/tex]

Generally  from the t- distriibution table the critical  value  of  [tex]\alpha[/tex] at a degree of freedom of [tex]df = 11 [/tex]  is

    [tex]t_{0.05 , 11} =  2.20098516[/tex]

Here given that the critical value is greater than the t statistics value the

Decision rule  is  

Fail to reject the null hypothesis

 The conclusion is  

There is sufficient evidence that indicate that there is a significant difference between the two treatments

Please help me everyone!
In Kennington, 25 legislators represent 500,000 people.
Kennington has 2,500,000 people. How much legislators do they need?
Please help, I repeat.

Answers

                                                  [tex]\huge\boxed{125.}[/tex]

[tex]\boxed{-------------------------------------}[/tex]

Explanation...

So, 25 legislators represents 500,000 people.

We are trying to find how much legislators you need to represent 2,500,000.

500,000*5=2,500,000.

25*5=125.

Therefore, your answer is 125.

[tex]\boxed{-------------------------------------}[/tex]

Hope i helped!

[tex]\huge\boxed{Thanks,Plip.}[/tex]

Answer: 125

In Kennington, 25 legislators represent 500,000 people.

Find how many times 500,000 go into 2,500,000 people.

2,500,000 ÷ 500,000 = 5

Now, multiply 5 by 25, because each 500,000 people are represented by 25 legislators.

25 x 5 = 125.

Answer = 125.

Hope this helps you!

Please select the word from the list that best fits the definition

energy obtained from heat within the earth

Answers

Answer:

geothermal

Step-by-step explanation:

energy obtained from heat within the earth-geothermal

The word geothermal best fits the definition.

Find the measures of the missing values.

Answers

1. X and Y= 39 (180-102=78, 78 divided by 2=39)

78 feet wide and 27 feet long what is the perimeter?

Answers

Answer:

105

Step-by-step explanation:

When finding the perimeter add them together

On a coordinate plane, a line goes through points (negative 4, 0) and (0, 4.5).
What is the x-intercept???
image is there

Answers

-4 is the x intercept.as in the values on the x-axis

Answer:

Im pretty sure it the first one

Step-by-step explanation:

Sandra is making decorations for the school dance out of construction paper. Each decoration uses 223 2 2 3 sheets of paper. Sandra notices that she only has 1012 10 1 2 sheets left.

Answers

Answer:

Step-by-step explanation:

CACA POOP

Answer:

464

Step-by-step explanation:

hwe

There are four different sets of objects shown in the answer choices. Select all of the sets of objects that could be modeled by perpendicular lines. Two roads that meet at an intersection. The top of a desk and the floor. A tree and its shadow on the ground. Two stars seen in the sky.

Answers

Answer:

Step-by-step explanation:

Select all of the object sets that could be modelled by perpendicular lines.

A perpendicular line is one that divides a 180 degrees line (or a straight line) into two; creating 90 degrees on one hand and 90 degrees on the other.

OPTIONS:

(A) APPLICABLE

Two roads that meet at an intersection can be modelled by perpendicular lines. Use the definition above as a yardstick.

(B) APPLICABLE

The top of the desk to the floor will represent the dividing line while the floor itself will be the 180° line.

(C) NOT APPLICABLE

A tree and its shadow on the ground will only form a right-angled triangle

(D) NOT APPLICABLE

Two stars seen in the sky cannot be modelled by perpendicular lines. They can only be modelled by a straight line; a line which extends from the first star to the other.  

PLEASE HELP!?!?!

a. c + 7 less than or equal to 3


b. c – 3 > 1


c. c – 7 < 3


Matching


Match the inequality to the graph of its solution.

Answers

It’s b hope that helped have a great night

The width of a rectangle is 1 ft less than the length. The area is 30 ft2. Find the length and the width.

Answers

Answer:

the anwer is 5*6

A quadrilateral with 90 degree angles is shown. The lengths of the left and right sides are 10 and 2 y + 4. The lengths of the top and bottom sides are 18 and 10 + 2 x. What is the value of y? 3 4 5 6

Answers

Answer: y=3

Step-by-step explanation:

Since the quadrilateral has 90 degree angles, it must be a a square or a rectangle. This means the measure of sides left and right are the same and the measure of sides top and bottom are the same.

To get the measure of y, you can use left and right or top nd bottom.

I'll use left and right. 10=2y+4 => 10-4=2y => 6=2y => y=3

You can check it by substituting. 2(3)+4=10      The answer is the measure of the right side, which is the same as the measure of the left side.

I hope this helps you!

Answer:

3

Step-by-step explanation:

can yall help me out please.​

Answers

Answer:

which one equals 12? option C

Step-by-step explanation:

Which unit rate corresponded to the proportional relationship shown in the graph?​

Answers

Answer: the speed of worm graph is bigger which gives you more space to figure out the way of the speed

Step-by-step explanation:

the graph is a picture designed to express words, particularly the connection between two or more quantities. You can see the graph . A simple graph usually shows the relationship between two numbers or measurements in the form of a grid.

Help please zearn is so hardddd

Answers

Answer:

1000-20

Step-by-step explanation:

Other Questions
Hi hope your having a good day please answer this17. Name the word that matches the definition given: Figures that have the same shape but not necessarily the same size.A. similar figuresB. scale factorC. scaleD. congruent figures in Haritha haram,108,84 and 60 saplings of mango guava and sapota are supplied .find the minimum number of rows in which they can be planted if in each row same numbers of saplings of the same type are to be planted Micah found the least common multiple of 8 and 12. His work is shown below.Multiples of 8: 8, 12, 16, 20, 24, 28, . . .Multiples of 12: 12, 24, 36, 48, 60, . . .The least common multiple is 12.What is Micahs error? The taxi fare in monopolis city is $1.50 for the first mile and additional mileage charged at the rate of $0.25 for each additional mile. how many miles can you do for $10.00 Which is NOT a common denominator for 2/3 and 1/2 ?A. 18B. 12C. 6D. 3 what political and military factors led president truman to order atomic bombing of japan on the number line between two consecutive whole numbers would square root of 7 be located at I totally need help, (I just wanna see who will join)It works :) kte-diym-hvy HELP QUICK What is the mass of an object that has a volume of 2 ml and a density of 10g/ml? The graph represents the relationship between the cost of renting a trailer y for x hours,, please help Lamark goes to a bowling alley to test his belief that rolling a bowling ball slowly will result in knocking down more pins. He gently rolls his bowling ball towards the bowling pins lined up at the end of the lane. The bowling ball stops in the middle of the lane without striking the pins. Which statement below best explains what happened? Which best explains why the sun maintains its size and shape?A. Pressure caused by high temperatures are balanced by gravity.B. The sun burns from its core to its surface.C. Forces exerted by orbiting planets cause the sun to rotate. Lake Sales had $2,200,000 in sales last month. The contribution margin ratio was 30% and operating profits were $180,000. What is Lake's break-even sales volume HELP WITH WAS/WERE GUYSSSS How does this image help the reader to understand seismographs? How do citizens participate in community service How did the leaders of the Age of Enlightenment think about the relationship between peace and justice and the monarchy?A. Peace and justice occur only when a king or queen rule according to the social contract.B. Peace and justice are only possible in a world ruled by strong figures of authority.C. Peace and justice are the sole responsibility of the king or queen to maintain.D. Peace and justice are not possible in a nation ruled by a monarch. Which statement best synthesizes ideas from thepassage and the image?O The different grades of hamstring injuries reflecthow severe the injury can be.Hamstring injuries are difficult to treat because threemuscles can be involved.Olt is very difficult to rehabilitate a hamstring injurybecause the muscles are so strong.O The semimembranosus, biceps femoris, andsemitendinosus are the hamstring muscles. During 20x1, Orca Corp. decided to change from the FIFO method of inventory valuation to the weighted-average method. Inventory balances under each method were as follows:________. FIFO Weighted-averageJanuary 1, 20x1 $71,000 $77,000December 31, 20x1 $79,000 $83,000Orca's income tax rate is 30%.In its 2005 financial statements, what amount should Orca report as the cumulative effect of this accounting change?a) $2,800b) $4,000c) $4,200d) $6,000 Which point is a solution to the inequality shown in this graph?A (6,0)B (5,-5)C (0,-3)D (0,-5)