If LM bisects Angle JLK find LJ

If LM Bisects Angle JLK Find LJ

Answers

Answer 1

Answer:

14 units

Step-by-step explanation:

Given: LM bisects [tex]\angle JLK[/tex]

To find: LJ

Solution:

According to angle bisector theorem,

an angle bisector of a triangle divides the interior angle's opposite side into two segments that are proportional to the other two sides of the triangle.

In [tex]\Delta JKL[/tex], LM bisects [tex]\angle JLK[/tex]

Using angle bisector theorem,

[tex]\frac{LK}{LJ}=\frac{KM}{JM}\\\frac{LK}{LJ}=\frac{KM}{JK-MK}\\\frac{8}{x+3}=\frac{4}{x-4}\\8(x-4)=4(x+3)\\8x-32=4x+12\\8x-4x=12+32\\4x=44\\x=\frac{44}{4}=11[/tex]

So,

[tex]LJ=x+3=11+3=14\,\,units[/tex]

Answer 2

Answer:

14 units

Step-by-step explanation:


Related Questions

Which statement is correct about the system of linear equations graphed below? On a coordinate plane, a line with negative slope goes through (0, 3) and (4, 2). A line with positive slope goes through (0, negative 4) and (4, negative 2). The system of equations has one solution because the lines will eventually intersect. The system of equations has one solution because the lines will never intersect. The system of equations does not have one solution because the lines will eventually intersect. The system of equations does not have one solution because the lines will never intersect.

Answers

Answer:

the answer is A. The system of equations has one solution because the lines will eventually intersect

Step-by-step explanation: because as the line goes on it will intercect once and if it has only one point of intercect its one solution

The system of equations has one solution because the lines will eventually intersect.

Which statement is true?

We know that for a system of equations, the solutions are the points where the graphs of the equations do intercept.

Also, remember that two lines always intercept if they have different slopes (parallel lines have the same slope and different y-intercept).

In this particular case, we know that one line has a negative slope and the other has a positive slope, so the lines are not parallel. This means that the lines will intercept, so the system has one solution.

With that in mind, the correct statement is "The system of equations has one solution because the lines will eventually intersect."

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PLEASE HELP ASAP

2(x+10)+5(4x-11)

Answers

Answer:

22x - 35

Step-by-step explanation:

Expand 2(x+10)

2x+20

Expand 5(4x-11)

20x-55

Simplify:

22x-35

Answer:

0.24

Step-by-step explanation:

1. you have to distributive property all

2(x+10)+5(4x-11)

2.You have to subtract the x

2x+10+20x+55

3. you have to subtract the natural number

20+18x-55

4. you have to divide

75/18x

then the answer is 0.24

85 out of 350 books in the library are about Mysteries.
​What percent of the books are Mystery books?

Answers

Approximately 24.28% of the books

What are the next 3 terms in this sequence of terms? 3, 7, 11, 15

Answers

Answer:

it will be 19, 23, 27

Step-by-step explanation:

all you have to do is check the pattern the sequence uses to progress. in this sequence it increases by adding 4 to a previous number.

so;

3 + 4= 7

7 + 4= 11

11 + 4= 15... and so on

i hope this helps

A gaming console that is $300 plus 8% tax. What is the final cost of the console? (Round to the nearest cent)​

Answers

Answer: $324.00

Step-by-step explanation:

Convert 8% to decimals. You can do this by dividing by 100

[tex]\frac{8}{100}=0.08[/tex]

Calculate 8% of 300 (0.08*300) and add 300 (+300)

[tex]0.08(300)+300\\24+300\\324[/tex]

Cuál es el área del paralelogramo?

Answers

Answer:

The area is 500 square inches

Step-by-step explanation:

A=B*H

A=20*25

Please help me now plz
I will mark you brainliest

Answers

Answer:

theta = 24.4 degrees

Step-by-step explanation:

This is a right triangle.

sin theta = opp/ hyp

sin theta = 33/80

Take the inverse of each side

sin^-1 sin(theta) = sin^-1 (33/80)

theta =24.36197794

To the nearest tenth

theta = 24.4 degrees

Gia is running for school president. Her best friend designed a rectangular button that measures 2.5 inches by 2 inches. Gina liked the button so much she produced a campaign poster, which measures 5 feet by 4 feet. What scale factor did Gina use to make the poster from the button?

Answers

Answer:

24:1

Step-by-step explanation:

To find the scale used to make the poster we just need to find the ratio between the poster and the button, and we do this by dividing the length and width of the poster by the length and width of the button.

So, we have that:

ratio = length poster / length button = 5 feet / 2.5 inches = 2 feet to 1 inch

ratio = width poster / width button = 4 feet / 2 inches = 2 feet to 1 inch

if 1 foot is equal 12 inches, we have a ratio of 2*12 inches to 1 inch = 24 to 1 (24:1)

What is the probability of tossing 3 heads in a row when flipping a coin?

Answers

Answer:

0.125

Step-by-step explanation:

Assuming the coin is fair (most coins are not completely fair) and that the person flipping is not able to control the tosses (some people can) then the chance is 0.125. On each flip, the chance is 1/2. The combination is simply the product of three tosses, since the events are independent.

Hope this helped!♥

Over 44% of the 30 students in a class read a
book last month. What are the possible numbers of students in the class
who read a book last month? Justify your answer.

Answers

Answer:

I got 13.2 but you could probably round it to 13.

Step-by-step explanation:

44 percent *30 =

(44:100)*30 =

(44*30):100 =

1320:100 = 13.2

The possible number of students in the class who read a book last month is 13 students

Let the total number of students that read the book last month be x

If over 44% of the 30 students in a class read a book last month, hence;

44% of 30 = x

0.44 * 30 = x

Simplifying the expression

x = 13.2

Hence the possible number of students in the class who read a book last month is 13 students

Learn more on percentages here: https://brainly.com/question/22603224

How many seconds will it take the object to reach the ground?

Answers

Final answer:

It will take approximately 5.05 seconds for the object to reach the ground.

Explanation:

In order to determine how long it will take an object to reach the ground, we need to consider the height from which the object is dropped. Let's assume the height is 75.0 m.

The time it takes for an object to fall to the ground can be calculated using the equation t = sqrt(2h/g), where t is the time, h is the height, and g is the acceleration due to gravity (approximately 9.8 m/s^2).

Plugging in the values, t = sqrt(2 * 75.0 / 9.8) = sqrt(150 / 9.8) ≈ 5.05 seconds.

Therefore, it will take approximately 5.05 seconds for the object to reach the ground.

Describe the transformations from, y=x2, the original parent function
y = (x - 6)2

Answers

Going from y = x^2 to y = (x-6)^2 has the graph shifted 6 units to the right

The replacement of "x" with "x-6" shifts the xy axis 6 units to the left. All new inputs are 6 units smaller than before. If you shift the xy axis 6 units to the left and keep the parabola still, then it gives the illusion the parabola moved 6 units to the right.

Nevaeh has a $25.00 gift card from the local coffee shop. The table below shows the balance, b on her gift card after n lattes. What is the meaning of the x-intercept



A) Nevaeh’s card is depleted after 10 lattes

B) Nevaeh has $25 on her gift card.

C) Each latte is $2.50

D) Nevaeh has no money left on her card after 25 lattes

Answers

Answer:

your answer is c give me brainliest please

Step-by-step explanation:

Answer:

C.

Step-by-step explanation:

After 2 lattes the balance is $20 so each latte cost $2.50

Chandler needed 10 gallons of gas last week. This week, Chandler ended up needing 60% more than that amount.How much gas is that

Answers

Answer:

16 gallons total

Step-by-step explanation:

60% of 10 is 6

6 plus the original 10 is 16

Please make me the brainliest

Answer:

16

Step-by-step explanation:

Cylinder A has a base of 3 and height of 3 cylinder be has the base of 2 and the height of 4. What is the ratio of the volume of cylinder A to the volume of cylinder B?

Answers

Answer:

1.6875

Step-by-step explanation:

For cylinder A, the base = diameter = 3, the height of the base is 3.

The radius of cylinder A (r) = diameter / 2 = 3/2 = 1.5

The volume of a cylinder is given by the equation:

Volume (v) = πr²h

Therefore volume of cylinder A = πr²h = π × 1.5² × 3 = 6.75π

For cylinder B, the base = diameter = 2, the height of the base is 4.

The radius of cylinder B (r) = diameter / 2 = 2/2 = 1

The volume of a cylinder is given by the equation:

Volume (v) = πr²h

Therefore volume of cylinder A = πr²h = π × 1² × 4 = 4π

The ratio of the volume of cylinder A to the volume of cylinder B = volume of cylinder A / volume of cylinder B = 6.75π / 4π = 1.6875

Knowing that, on a dice, the sum of the numbers of points marked on opposite sides is 7. What are the missing points?

Answers

Answer:

How many of those ways have opposite face sums equal? ... Are there other ways we can number the dice as well? ... As you probably know, there are exactly five Platonic solids: the tetrahedron, cube, octahedron, ... On a normal 6-sided die, opposite faces add up to 6 + 1 = 7: 1 and 6, 2 and 5, 3 and 4

Step-by-step explanation:

trust me its right and can you be nice enough to mark me as brainliest

The points on opposite sides of a dice whose sum is 7 are: 1 and 6,  2 and 5  &  3 and 4

Explanation:

The missing points on a dice where opposite sides add up to 7 are:

1 and 6

2 and 5

3 and 4.

Write the equation x2=7x in standard form.

Answers

Answer:

i believe it's x2-7x=0

Step-by-step explanation:

Final answer:

To write the equation x^2 = 7x in standard form, subtract 7x from both sides and rearrange the terms in descending order of exponents.

Explanation:

The equation x^2 = 7x is a quadratic equation. To write it in standard form, we need to move all the terms to one side and set the equation equal to zero.

Subtracting 7x from both sides, we get x^2 - 7x = 0.

Next, we rearrange the terms in descending order of exponents: x^2 - 7x = 0.

Learn more about Quadratic equations here:

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Jermaine is ordering a piece of glass in the shape of a trapezoid to create a patio table top. Each square
foot of glass costs $25. The trapezoid has base lengths of 5 feet and 3 feet and a height of 4 feet. What is
the cost of the glass?

Answers

Answer:

$400

Step-by-step explanation:

1) we need to find area of trapezoid first

area of trap formula:( (b1+b2)/2)h

b1=5

b2=3

h=4

(5+3)/2=4

4*4=16

there are 16 square feet in thtat trapezoid

hence, 25*16= $400

the glass cost $400

Answer:

$400

Step-by-step explanation:

A high school track is shaped as a rectangle with a half circle on either side. A rectangle has a length of 96 meters and width of 35 meters. 2 semicircles with diameters of 35 meters are on each end of the rectangle. Jake plans on running four laps. How many meters will Jake run? Use 3.14 for Pi. 301.9 m 823.6 m 1,207.6 m 1,647.2 m

Answers

Answer:

C

Step-by-step explanation:

Answer:

your anwser is C

Step-by-step explanation:

btw i cant spell lol

This is a little big easy

Answers

Answer:

B.) b+79

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Mr. Sanford left half of his fortune to April, his daughter. He left of the remaining half to his uncle Jed. He left half of the remaining half to his favorite charity. He left the remaining $30,000 to the local animal shelter. What was the total amount of Mr. Sanford’s fortune?

Answers

9514 1404 393

Answer:

  $240,000

Step-by-step explanation:

Let f represent Mr. Sanford's fortune.

1/2x went to April, so 1/2x remains.

1/2(1/2x) = 1/4x went to Jed, so 1/2x -1/4x = 1/4x remains.

1/2(1/4x) = 1/8x went to charity, so 1/4x -1/8x = 1/8x remains.

That remaining 1/8x was $30,000, so the total amount of Mr. Sanford's fortune was ...

  8 × $30,000 = $240,000

Liam works at a zoo. He was looking at some data showing the masses of their 5 African elephants. The mean mass of the elephants was 3,800 kg, and the median mass was 3,600 kg . The smallest elephant, named Lola, weighed 2,700 kg

Lola then got very sick and lost weight until her mass reached 1,800 kg

How will Lola's mass decreasing affect the mean and median?

(A) Both the mean and median will decrease.

(B)The median will decrease, and the mean will stay the same.

(C)The mean will decrease, and the median will stay the same.

(D) The mean will decrease, and the median will increase.

Answers

Answer:

Step-by-step explanation:

21

Answer:

c

Step-by-step explanation:

the mean will change because she weighs less but the median stays the same because she was the smallest elephant anyway

describe how to translate the graph of y = x + 2 to the graph of the given function.

y = x + 7

pls help and show work!!!!

Answers

Answer:

Step-by-step explanation:

y = x + 2 and y = x + 7 are parallel straight lines which have the same slope, 1.  The graph of y  = x + 2 becomes the graph of y = x + 7 if we translate it (graph of y = x + 2) up 5 units.

The ratio of girls to boys is 3 to 4. If there are 48 boys, how many girls are there?
40

Answers

the answer is 36
48 divided by 4 equals 12
so 12 times 3 equal 36

This scale drawing shows a parking lot. What is the length of the longer side of the actual lot?

Answers

Answer:

What drawing???

Step-by-step explanation:

Solve the following equation by factoring. 9x^2 - 16 = 0

Answers

Step-by-step explanation:

9x2 - 16 = 0

Both are squares so

3x - 4 = 0

Find the slope (-1,7),(-6,1)

Answers

Answer: m = 6/5

Step-by-step explanation:

The Formula to find m is m =  y2 - y1 / x2 - x1.

So for this problem I did 7 - 1 / -1 - (-6) which would equal 6/5.

A baby elephant can weigh 170 pounds at birth. Approximately how many kilograms is this?

Answers

Answer:

77.1107

Step-by-step explanation:

for an approximate result, divide the mass value by 2.205

hopefully this help's

Answer:

170lbs = 77.1107

Step-by-step explanation:

1lb=0.453592

f the height of the parallelogram shown is decreased by 1 inch and the base is decreased by 2 inches, what is the area of the new parallelogram?

Parallelogram a
78 in2


b
84 in2


c
104 in2


d
108 in2




Answers

Answer:

C.

Step-by-step explanation:

Which leader was initially an adviser to Davis?
o Abraham Lincoln
© George McClellan
© Robert E. Lee

Answers

Answer:

Robert E. Lee

Step-by-step explanation:

Answer:c

Step-by-step explanation:

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