Point K is on line segment \overline{JL} JL . Given JK=2x-2,JK=2x−2, KL=x-9,KL=x−9, and JL=2x+8,JL=2x+8, determine the numerical length of \overline{KL}. KL .

Answers

Answer 1

Answer:

KL = 10

Step-by-step explanation:

Point K is on line segment \overline{JL} JL . Given

JK=2x−2

JL=2x+8

KL=x-9

JL = JK + KL

Hence:

2x + 8 = 2x - 2 + x - 9

2x + 8 = 2x + x - 2 -9

2x + 8 = 3x - 11

Collect like terms

3x - 2x = 8 + 11

x = 19

We are to find the numerical length of KL

KL = x - 9

KL = 19 - 9

KL = 10


Related Questions

There are 50 cups of water in 10 gallon of water what is the total number of cups of water in 1/4 gallon of water? HELP ASAP

Answers

Answer:

there would be 20

Step-by-step explanation:

Answer:

1.25 cups

Step-by-step explanation:

50 / 10 = 5

that means there are 5 cups in 1 gallon

5 / 4 = 1.25

So there are 1.25 or as a fraction 1 1/4 cups in 1/4 of a gallon of water

Log_10 3 ~ 0.771 evaluate log_10 0.0003

Answers

Answer:

If log(subscript 10) 3 is approximately .4771, evaluate log (subscript 10) .0003 Give answer correct to four decimals.

Step-by-step explanation:

If log(subscript 10) 3 is approximately .4771, evaluate log (subscript 10) .0003 Give answer correct to four decimals.

Kristen spent many days at the community pool last summer. She noticed that five out of fourteen flying insects she saw at the pool were mayflies. If Kristen saw fourteen flying insects at the pool one day, how many were mayflies? If, over several days, Kristen saw forty two flying insects, how many were mayflies? If, over a few weeks, Kristen saw thirty mayflies, how many flying insects did she see?

Answers

Answer:

(a) 5 mayflies

(b) 15 mayflies

(c) 84 flying flies

Step-by-step explanation:

Represent Mayflies with M and the total flying insects with F

The ratio can be represented as:

[tex]M : F = 5 : 14[/tex]

Solving (a):

[tex]F = 14[/tex]

Find M

Substitute 14 for F in [tex]M : F = 5 : 14[/tex]

[tex]M : 14 = 5 : 14[/tex]

Convert to fraction

[tex]\frac{M}{14} = \frac{5}{14}[/tex]

Multiply through by 14

[tex]14 * \frac{M}{14} = \frac{5}{14} * 14[/tex]

[tex]M = 5[/tex]

Solving (b):

[tex]F = 42[/tex]

Find M

Substitute 42 for F in [tex]M : F = 5 : 14[/tex]

[tex]M : 42 = 5 : 14[/tex]

Convert to fraction

[tex]\frac{M}{42} = \frac{5}{14}[/tex]

Multiply through by 42

[tex]42 * \frac{M}{42} = \frac{5}{14} * 42[/tex]

[tex]M = \frac{5}{14} * 42[/tex]

[tex]M=5*3[/tex]

[tex]M= 15[/tex]

Solving (c):

[tex]M = 30[/tex]

Find F

Substitute 30 for M in [tex]M : F = 5 : 14[/tex]

[tex]30 : F = 5 : 14[/tex]

Convert to fraction

[tex]\frac{F}{30} = \frac{14}{5}[/tex]

Multiply through by 30

[tex]30 * \frac{F}{30} = \frac{14}{5} * 30[/tex]

[tex]F = \frac{14}{5} * 30[/tex]

[tex]F = 14*6[/tex]

[tex]F = 84[/tex]

NEED HELP ASASPPP
A study reported that about half of high school seniors study for upcoming math tests. To find out if this applies to seniors at Garfield High School, an SRS of 30 seniors was asked if they study for their math tests. Nineteen responded "Yes.”

A dotplot is provided showing the results of 40 trials of this simulation.

A dotplot titled seniors who study for math tests have number of seniors who responded yes on the x-axis, and frequency on the y-axis. 12, 2; 13, 5; 14, 6; 15, 11; 16, 9; 17, 4; 18, 2; 9, 0; 20, 1.

Does this provide convincing evidence that seniors at Garfield High School study more than the report stated?

No, there is an outlier at 20.
No, there were outcomes as low as 12.
Yes, only one trial had a result of 19 or larger.
Yes, more than half of the simulated results are over 15.

Answers

Answer:

Yes, only one trial had a result of 19 or larger.

Step-by-step explanation:

The claim reported is that only about half of high school seniors study for upcoming math test. However, at Garfield a sizeable number of the 30 surveyed observation gave a symmetrical distribution about the study pattern of their high school seniors with only one trial a frequency of yes greater than or equal to 19

tessa bought stock in a restaurant for 245.00 her stock is now worth 338.10 what is the percentage increase of the value of tessas stock

Answers

Answer:

1.38

Step-by-step explanation:

245.00 x 1.38 = 338.10

IQ
GPA
ia
SAT
115
3.4
115
1440
84
2.1
84
780
In this assignment, you will be comparing two data
sets. The first data set shows the relationship of GPA
and IQ scores. The second data set compares SAT
scores and IQ scores.
In the scatterplots for both sets of data, the
independent variable is
111
3.1
111
1120
120
3.8
120
1560
105
2.8
105
1240
98
2.6
98
1200
96
96
1000
88
88
920
It

Answers

Answer:

The answer is IQ

Step-by-step explanation:

Edge 2021

Is 2 a solution of the inequality -2x < -6? example.

Answers

Answer:

x > 3

2 is not a solution since 3 is greater than 2.

hope this helps :D

Answer:

3

Step-by-step explanation:

-2x =-6

-2. -2

x =3

-2 divided by -2x equal x

-2 divided by -6 equal 3

x equal 3

The spinner below is spun twice .what is the probability of the arrow landing on a white space and then a space with star

Answers

Answer:

I believe it would be 75% or 3/4

Step-by-step explanation:

Answer:

3/4

Step-by-step explanation:

A tree is broken at a height of 35 m from the ground and its top touches the ground at a distance of 12 m from the base of the tree. If the tree is at right angles to the ground, find the original height of the tree.

Answers

Original height of tree = (x+5) m
In triangle ABC x square = 5 square + 12 square
X square = 25+144
X square = 169
X = 13
Thus the original height of the tree was 13+15 = 18m

i’ll give u brainliest please help asap

The sum of the measures of the interior angles of a convex polygon is 1,980. How many sides does the polygon have?
a. 11
b. 12
c. 14
d. 13

Answers

Answer:

c, 14

Step-by-step explanation:

Answer:

the ansewr is b

Step-by-step explanation:

Anyone know the answer?!

Answers

Answer:

the correct answer is C) x - 6y = 14

I NEED HELP ASAP

Write an equation in point-slope form with the given characteristics Passes through (1,8) and (-2,3)​

Answers

We first solve to find the slope. The slope of the line is 5/3. Then we substitute that into the formula that is y-y1=m(x-x1). M represents the slope of the line and the x and y’s represent the point values. So we get 8-3=5/3(1+2). We get this solution if it asks you to figure out the slope along the way too.

If they ask you the equation when knowing only the two points you do 8-3=m(1+3)

They both mean the same thing ( it just depends on what the problem is specifically asking you about)

Answer:

[tex]y - 8 = \frac{5}{3}(x - 1)[/tex]

Step-by-step explanation:

1) Use the slope formula, [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex], and the given points to find the slope. [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of one point the line must intersect, and [tex]x_2[/tex] and [tex]y_2[/tex] represent the x and y values of another point the line must also intersect:

[tex]\frac{(3)-(8)}{(-2)-(1)}[/tex]

= [tex]\frac{-5}{-3}[/tex]

= [tex]\frac{5}{3}[/tex]

2) Using the point-slope formula, [tex]y-y_1 = m (x - x_1)[/tex], use the slope you just calculated and substitute it for m. Choose any of the two points given (I chose (1,8)) and substitute its x and y values for [tex]x_1[/tex] and [tex]y_1[/tex]. Don't worry, the equation of the line is the same no matter which point you choose (unless the question specifies which one you need to choose):

[tex]y - 8 = \frac{5}{3}(x - 1)[/tex]

write the simplified form of expression 3(x+8)
what is simplified form of -(2y-3x)

Answers

Answer:

1) 3x+8

2) -2y+3x

Step-by-step explanation:

thats the answer! hope it helps :)

X^2+2x+1=4 complete the square

Answers

Answer:

[tex] {x}^{2} +2 x + 1 = 4 \\ {(x + 1)}^{2} = 4 \\( x + 1) = + 2 \: and \: (x + 1) = - 2 \\ \boxed{x = 1 \: and \: x = - 3}[/tex]

x= 1 or x= -3 is the right answer.

For each gym membership sold, the gym keeps $42, and the employee who sold it gets $8. What is the commission the employee earned as a percentage of the total cost of the gym membership?
followup: If an employee sells a family pass for $135, what is the amount of the commission they get to keep?

Answers

Hence, the commission the employee earned as a percentage of the total cost of the gym membership is [tex]16[/tex] % and the amount of the commission they get to keep is the [tex]16[/tex] % of $[tex]135[/tex] which would be [tex]21.6[/tex] $

What is the percentage?

A percentage is a number or ratio expressed as a fraction of [tex]100[/tex]. It is often denoted using the percent sign, "%".

Here given that,

For each gym membership sold, the gym keeps $[tex]42[/tex], and the employee who sold it gets $[tex]8[/tex].

(1)

Here the full price is [tex]42+8=50[/tex]

So, the commission the employee earned as a percentage of the total cost of the gym membership is

[tex]\frac{8}{50}=16[/tex] %

(2)

Here, the employee sells a family pass for $[tex]135[/tex].

So, the amount of the commission they get to keep is the [tex]16[/tex] % of $[tex]135[/tex] which would be

[tex]\frac{16}{100}[/tex] ×[tex]135=21.6[/tex] $

Hence, the commission the employee earned as a percentage of the total cost of the gym membership is [tex]16[/tex] % and the amount of the commission they get to keep is the [tex]16[/tex] % of $[tex]135[/tex] which would be [tex]21.6[/tex] $

To know more about the percentage

https://brainly.com/question/13244100

#SPJ6

At the movie theatre, child admission is $5.10 and adult admission is $8.70. On Saturday, 149 tickets were sold for a total sales of $1065.90. How many adult tickets were sold that day?

Answers

Answer:

[tex]a=85[/tex]

Step-by-step explanation:

We can write the following system of equations:

[tex]\begin{cases}5.10c+8.70a=1065.90\\c+a=149\end{case}[/tex], where [tex]c[/tex] represents the number of child tickets sold and [tex]a[/tex] represents the number of adult tickets sold.

Multiplying the second equation by [tex]-5.10[/tex] and adding both equations lets us isolate and solve for [tex]a[/tex]:

[tex]\begin{cases}5.10c+8.70a=1065.90\\-5.10c-5.10a=-759.9\end{case}\\3.6a=306,\\a=\fbox{$85$}[/tex].

24. Find f'(x) for f(x) = ax2 + bx.

Answers

Answer:

f'(x) = 2ax + b

Step-by-step explanation:

Differentiate each term using the power rule

[tex]\frac{d}{dx}[/tex] (a[tex]x^{n}[/tex] ) = na[tex]x^{n-1}[/tex]

Given

f(x) = ax² + bx , then

f'(x) = 2a[tex]x^{2-1}[/tex] + b[tex]x^{1-1}[/tex]

     = 2ax + b[tex]x^{0}[/tex] ( [tex]x^{0}[/tex] = 1 )

     = 2ax + b

The answer above should be correct, I believe it is, but can you please mark me brainlest?

Guys so it says pick which one is true and!!! I can’t really find out now there is four more left thank you to the people who are helping

Answers

Answer:

Your answer is

B. C. And. E

Hope it will help :)❤

Will give brainliest.

Answers

Answer:

slope=1/2

the given point=(0, 13/2)

Step-by-step explanation:

change the equation to the y=mx+b format

y-8=1/2(x-3)

y=1/2x-3/2+8

y=1/2x+13/2

m=slope

1/2=slope

given point(y-intercept)= the constant

given point=13/2

Which number of simulation trials would be likely to produce results that areClosest to the actual probability

Answers

Answer:

which ever answer is the largest number

Step-by-step explanation:

the bigger the number, the better accuracy

Ana swam -21ft below sea level. Tisha swam -28ft below sea lev who swam the farthest from sea level? I choose Ana but I don’t know I might be wrong..

Answers

Answer:

You're correct

Step-by-step explanation:

-21 > -28

-21 is bigger than -28 so ana did swim further

How long does it take to travel 100km at a speed of 80 km/h?

Answers

speed = distance/time,
You can kind of tell that, because the units of speed is km/h ( or m/s, or miles/hour — depending on the situation).

Now if you apply your algebra skills, you might discover that

time = distance/speed

Plug in the data:
time = 100 km / (80 km/h)
After application of algebra skills again you can see that the units will simplify to simply h.
time = 1.25 h

What is 11/12 of a minute?

Answers

11/12 of a minute is 55 seconds

Answer:

55 seconds

Step-by-step explanation:

Okay so, 1/12 of a minute would be 5 seconds. 10/12 would be 50 seconds. You go up 5 continuously.

Heather made a shirt using 1/2 yards of green fabric & 1/3 yards of blue fabric. How many yards of fabric did she use in all ?

Answers

1/2 yards = 18 inches
1/3 yards = 12 inches
30 inches in total
30/36
simplify
5/6

The function g(x) is graphed on the coordinate grid. What is the domain of g(x)?

Answers

Answer:

x[tex]\geq[/tex]5

Step-by-step explanation:

The domain is the function defined on your x-axis.

It starts from 5 and includes 5

so the domain is x[tex]\geq[/tex]5

ans fastt I will mark as brainliest​

Answers

Answer:

»»»»»

ZBDC = ( 180 - x - y )°

:-))

»»»»»

If an object is accelerating at 5 m/s/s and has a mass of 2kg, what is the net force (N)?

•O5N
•20 N
•10N
•10 m/s

Answers

Answer:

10N as the SI u it for net force is N

Step-by-step explanation:

The answer is:

F=MA

=2Kg×5m/s

=10N

Assuming no variable equals 1 or 0, which of the following statements is always False?
ОООО
1(x) = 1
0(x) = 0
x + y = y + x
a(b + c) = ab + ac

Answers

Given:

No variable equals 1 or 0.

To find:

The statements which is always False.

Solution:

According to identity of multiplication,

[tex]1(x)=x[/tex]

For x=2,

[tex]1(2)=2\neq 1[/tex]

So, the statement [tex]1(x)=1[/tex] always false because no variable equals 1 or 0.

Multiplication property of zero,

[tex]0(x)=0[/tex]

Commutative property of addition,

[tex]x+y=y+x[/tex]

Distributive property of multiplication over addition,

[tex]a(b+c)=ab+ac[/tex]

No variable equals 1 or 0. So, all the statements in options B, C, D are always true.

Therefore, the correct option is A.

a line passes through the point (-6,-7) and has a slope of 5/2
Write an equation in slope intercept form for this line

Answers

Answer:

Draw a line of a givens point

Carlos wants to rent a car for the particular car you on gentle rental charges 185 per week plus $0.25 per mile driven rental charges a flat fee of 275 per week what is the number of miles driven so that rented from dental rental cause carlos less than renting from rental giant

Answers

Answer:

The indifference point is 360 miles.

Step-by-step explanation:

Giving the following information:

Rental 1:

Total cost= 185 + 0.25*x

x= miles driven

Rental 2:

Total cost= $275

Now, we need to equal both formulas and isolate x:

185 + 0.25x = 275

0.25x = 90

x= 90/0.25

x= 360

The indifference point is 360 miles.

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