If K is the midpoint of JL, JK = 8x + 11 and KL = 14x – 1, find JL.​

If K Is The Midpoint Of JL, JK = 8x + 11 And KL = 14x 1, Find JL.

Answers

Answer 1

Answer:

[tex]JL=54[/tex]

Step-by-step explanation:

We are given that K is the midpoint of JL. Using this information, we want to find JL.

By the definition of midpoint, this means that:

[tex]JK=KL[/tex]

Substitute them for their equations:

[tex]8x+11=14x-1[/tex]

Solve for x. Subtract 8x from both sides:

[tex]11=6x-1[/tex]

Add 1 to both sides:

[tex]6x=12[/tex]

And divide both sides by 6. Hence:

[tex]x=2[/tex]

JL is the sum of JK and KL. Hence:

[tex]JK+KL=JL[/tex]

Since JK = KL, substitute either one for the other:

[tex]JK+(JK)=2JK=JL[/tex]

Substitute JK for its equation:

[tex]2(8x+11)=JL[/tex]

Since we know that x = 2:

[tex]2(8(2)+11)=2(16+11)=2(27)=54=JL[/tex]

Thus:

[tex]JL=54[/tex]


Related Questions

A television screen measures 35 cm wide and 26 cm high. What is the diagonal measure of the screen?

Answers

Answer:

43.6 (approximately)

Step-by-step explanation:

Diagonal measures of the screen is,

√(35²+26²)

= √(1901)

= 43.6 (approximately)

Answered by GAUTHMATH

We calculate the dioglonal using the Pythagorean theorem

[tex]\displaystyle\ C^2=A^2+B^2=> C=\sqrt{A^2+B^2} \ then \\\\C=\sqrt{26^2+35^2} =\sqrt{1225+676} =\sqrt{1901} \approx43.6\\\\Answer : the \:diagonal \:\:length is \:\underline{43.6}[/tex]

What's 70 x4 I just wanna see if it’s really going to help me

Answers

Step-by-step explanation:

70

*4

___

280.......ans

Find the quotient of 10/0

Answers

Answer:

The quotient is the answer to a division.

One of the properties of 0, is that 0 divided by any number is 0.

The exception is

0/0

which is undefined.

(the fact that 0 is being divided by a negative number makes no difference. There is no just thing as +0 or -0.)

Step-by-step explanation:

2/3(x+6)=-18 what is the value of X in the equation?

Answers

Answer:

x= -33

Step-by-step explanation:

expand the equation : 2/3x +4 =-18

Then simplify to 2/3x=-22

multiply both sides by 3/2x to get x=-33

Answer:

x = -33

Step-by-step explanation:

2/3(x+6) = -18

x + 6 = (3/2)(-18)

x + 6 = -27

x = -33

If a = 5, b = 4, and c = 7, find the value for 3(b + a) = c.
10
15
34
20

Answers

Answer:

20

Step-by-step explanation:

3 (b + a) = c

3 (4 + 5) = 7

12 + 15 = 7

27 = 7

27 - 7

20

[tex]\huge\boxed{ \sf{Answer}} [/tex]

Given,

[tex]a = 5 \\ b = 4 \\ c = 7[/tex]

And the equation we need to solve is,

[tex]3(b + a) = c[/tex]

To find the answer, you need to substitute the values of a, b & c in the equation.

[tex]3(b + a) = c \\ 3b + 3a = c \\ ( 3 \times 4) +( 3 \times 5) = 7 \\ 12 + 15 = 7 \\ 12 + 15 - 7 = 0 \\ = 27 - 7 \\ = 20[/tex]

The answer is 20.

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐

According to the number line, what is the distance between points A and B?

0 6 units
7 units
O 12 units
O 14 units

Answers

Answer:

14 units

Step-by-step explanation:

A = - 2, B = 12

Therefore,

d(A, B) = 12 - (-2) = 12 + 2 = 14 units

PLEASE HELP!!! I dont understand :(

Answers

Hello,

In all reply x²'s coefficient is 1.

The polynom will be (x+i)(x-5)= x²+ix -5x-5i

Answer  C

WILL GIVE BRAINLIEST
A graph has hours studied on the x-axis and test scores on the y-axis. Points are at (1, 3), (2, 6), (3, 5), (3, 8), (4, 5), (5, 8), (8, 9).
What statements describe this graph? Check all that apply.
The points are scattered.
The points are not connected.
The graph displays a discrete graph.
The graph displays the relationship of test scores to hours studied.
The graph represents the relationship between two sets of data.

Answers

Answer:

A,C,D.

Step-by-step explanation:

Answer:

Part A

Group A is a cluster of points with similar property or relationship.

Point B is an outlier. This is the point outside of the common relationship.

Part B

There is a negative tendency. As number of hours spent on computer games increase, the test scores decrease.

Step-by-step explanation:

so basically A, and B

Which of the following expressions are equivalent to (x+y)-(-z)

Choose all answers that apply:

A. (x+y)-z

B. x+(y+z)

C. none of the above

Answers

Answer:

B

Step-by-step explanation:

(x+y)-(-z)

=(x+y)-(-z)

=(x+y)+z

=x+(y+z)

B. x+(y+z) good lick

Relationships between x and y

Answers

Answer:

so both tables are proportional

1. in the green table

y divided by x =

1/5 for each row

2. in the blue table

y divided by x =

2/5 for each row

Step-by-step explanation:

/ means divided by

divide y by x

for both tables

in each table

if y divided by x

show the same number

for every row

then its proportional

1. in the green table

y divided by x =

1/5 for each row

2. in the blue table

y divided by x =

2/5 for each row

so both tables are proportional

During his lunch hour, Matt asked 24 students how many after-school activities they participated in. This list shows the survey results.

Answers

Answer:

[tex]Ratio = 1 : 6[/tex]

Step-by-step explanation:

Given

[tex]n = 24[/tex]

Results:

[tex]1, 2, 0, 0, 3, 2, 4, 2, 1, 4, 3, 2[/tex]

[tex]1, 1, 2, 1, 0, 3, 3, 2, 4, 1, 1, 0[/tex]

Required

Ratio of students not participating to all students

Students not participating are represented with 0;

So, we have:

[tex]n(0)= 4[/tex]

The ratio is then calculated as:

[tex]Ratio = n(0) : n[/tex]

[tex]Ratio = 4 : 24[/tex]

Divide by 4

[tex]Ratio = 1 : 6[/tex]

Find the cost of 5 Kgs of apples using the data given in the graph.

Answers

Answer:  2.50 dollars

Explanation:

Locate 5 on the x axis, which corresponds to buying 5 kgs of apples.

Draw a vertical line through 5 on the x axis until you reach the blue line. Mark this as point P.

From point P, draw a horizontal line until you reach the y axis. You should arrive at y = 2.5

This tells us that buying x = 5 kgs of apples will cost a total of y = 2.50 dollars.

If xy = 6 and x = 2, then x + y =​

Answers

Answer:

5

Step-by-step explanation:

xy= 6

x= 2

x + y = ?

Plug in x=2 in the first equation:

2y=6

y=3

then plug x=2 and y=3 into the one you're solving for:

2+3=5

Hope that helps!

Lily owed Megan $129.42. So far, she has paid Megan $32.56.
The remaining amount Lily has yet to pay Megan is $

Answers

Answer: $96.86

Step-by-step explanation:

Lily owed megan = $129.42

she has paid megan = $32.56

The remaining amount Lily has yet to pay Megan = $129.42 - $32.56 = $96.86.

Please mark me the brainliest

2x - y when x = 0 and y = -5

Answers

Answer:

5

Step-by-step explanation:

2x - y when x = 0 and y = -5

2(0) - (-5) =

= 0 + 5

= 5

Answer:

5

Step-by-step explanation:

2x-y

2(0)-(-5)

0-(-5)

0+5

5

11. What is the value of y when 10y-5=20

Answers

Answer:

y = 2.5

Step-by-step explanation:

Given

10y - 5 = 20 ( add 5 to both sides )

10y = 25 ( divide both sides by 10 )

y = 2.5

Answer:

5/2

Step-by-step explanation:

The given equation to us is ,

[tex]\implies 10y -5 = 20 [/tex]

Add 5 both sides ,

[tex]\implies 10y -5 +5 = 20 +5 \\[/tex]

[tex]\implies 10y = 25[/tex]

Divide both sides by 10 ,

[tex]\implies 10y \div 10 = 25\div 10 \\[/tex]

[tex]\implies \boxed{ y = \dfrac{5}{2}}[/tex]

given the following diagram, find the required measure.

Answers

Answer:

m<6=90

Step-by-step explanation:

the answer is 90 or D

Answer:

90

Step-by-step explanation:

If 1 = 140, then 2 = 40. 180-140=40

If 2 = 40 and 3 = 50, then 6 = 90. 180 - 40 - 50 = 90

Linear angles = 180

Triangle Sum Theorem = Sum of all angles in a triangle = 180

Jason is traveling by car from his home to his office. He has gone 3.5 miles so far. From this point on, he can cover 100 miles every 2 hours. What is the equation of a line that models the total miles traveled, y, in x hours after this point?

Answers

There is step to step calculation

Hope is helpful

Solve: 4(x + 3) ≤ 44


x ≥ 16


x ≤ 16


x ≤ 8


x ≥ 8

Please help

Answers

Answer:

C

Step-by-step explanation:

[tex]4(x + 3) \leqslant 44 \\ \\ 4x + 12 \leqslant 44 \\ 4x \leqslant 44 - 12 \\ 4x \leqslant 32 \\ 4x \div 4 \leqslant 32 \div 4 \\ x \leqslant 8[/tex]

please help!!!
Simplify
3+ 7 X 4

Answers

Answer:

31

Step-by-step explanation:

[tex]3+7[/tex] × 4        Multiply first

3 + 28           Then add

31

Answer: 31


Step 1: Rewrite equation

To start off, I find it helpful to rewrite the equation, in order to better understand the problem we will be solving.

3+7×4

Step 2: Solve using PEMDAS

To solve the equation, we will be using PEMDAS. Remember that we must solve in the correct sequence. In order of operations, p stands for parentheses, e stands for exponents, m stands for multiplication, d stands for division, a stands for addition, and s stands for subtraction. The only two shown in this equation are multiplication and addition. As per the order in PEMDAS, let’s multiply first and then add.

3+7×4
3+28
31


31 is your answer. Hope this helps! Comment below for more questions.

the volume of a swimming pool is 4x^3 - 20x^2 + 3x - 15 . what is one of the dimensions of the pool

Answers

Answer:

[tex]Height = x - 5[/tex] --- one of the dimension

Step-by-step explanation:

Given

[tex]Volume = 4x^3 - 20x^2 + 3x - 15[/tex]

Required

The side dimension

Factorize the given expression

[tex]Volume = 4x^2 (x- 5) + 3(x - 5)[/tex]

Factor out x - 5

[tex]Volume = (4x^2 + 3)(x - 5)[/tex]

Volume is the product of base area and height'

Hence:

[tex]Area = 4x^2 + 3[/tex]

[tex]Height = x - 5[/tex]

How would the expression x2 -9 be rewritten using Difference of Squares?

Answers

Answer:

(x + 3) (x - 3)

Step-by-step explanation:

[tex]a^{2} -b^2=(a+b)(a-b)[/tex] where a = x and b = 3

x^2 - 3^2 =

x^2 - 9 =

(x + 3)

(x - 3)

Answer:

Step-by-step explanation:

x²-9=x²-3²

find the value of x pls show work

Answers

Answer:

x = 55°

Step-by-step explanation:

120° = x° + 65° (alternate interior angles are congruent)

Subtract 65 from each side

120° - 65° = x° + 65° - 65°

55° = x

Therefore,

x = 55°

A. -1/4 + 2/3=

B. 1/2-3/5-1/2=

C. 3/4 of 2/9=

D. 2/5 of 7/12=

please help me
with explanation as well ​

Answers

Answer:

[tex]A) - \frac{1}{4} + \frac{2}{3} \\ \frac{ - 3 + 8}{12} \\ = \frac{5}{12} [/tex]

[tex]B) \frac{1}{2} - \frac{3}{5} - \frac{1}{2} \\ \frac{5 - 6 - 5}{10} \\ = \frac{ - 6}{10} [/tex]

[tex]C) \frac{3}{4} of \frac{2}{9} \\ \frac{3}{4} \times \frac{2}{9} \\ \frac{6}{36} = \frac{1}{6} [/tex]

[tex]D) \frac{2}{5} \times \frac{7}{12} \\ = \frac{14}{60} = \frac{7}{30} [/tex]

Determine if the conditional statement is true or false given the following: p is false. q is false. Is -q -p true or false?

Answers

Hello,

if p is false then ~p is true

if q is false then ~q is true

if ~p is true and ~q is true then ~q and ~p is true

Please help ASAP and please show work if possible.

Answers

Answer:

72° and 108°

Step-by-step explanation:

let one angle be x then the other angle is 1.5x

A linear pair sum to 180° , so

x + 1.5x = 180 , that is

2.5x = 180 ( divide both sides by 2.5 )

x = 72

1.5x = 1.5 × 72° = 108°

The two angles are 72° and 108°

Answer:

do you have wazapp I can send full pic of the answer here

Find the value of cos J rounded to the nearest hundredth, if necessary.

Answers

Answer:

cosJ ≈ 0.38

Step-by-step explanation:

This is a 5- 12- 13 right triangle

with HI = 12, HJ = 13, IJ = 5

cosJ = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{IJ}{HJ}[/tex] = [tex]\frac{5}{13}[/tex] ≈ 0.38 ( to nearest hundredth )

The required value of Cos(J) for the given triangle is 0.38.

What is Pythagoras theorem?

Pythagoras theorem states that in a right angled triangle, the sum of the squares of the perpendicular and base is equal to the square of the hypotenuse. It can be written as h² = p² + b².

In the given ΔHIJ the sides are given as,

JH = 13  and HI = 12.

Now, apply Pythagoras theorem to obtain,

IJ² + HI² = JH²

⇒ IJ² = 13² - 12²

⇒ IJ = 5

Use trigonometric ratio to obtain,

Cos(J) = IJ/HI = 5/13 = 0.38

Hence, the value of Cos(J) is obtained as 0.38.

To know more about Pythagoras theorem click on,

https://brainly.com/question/343682

#SPJ2

What will you use if you are looking for the space bounded by a rectangle A. 2(I + w) B. S² C. B × h ________ 2 D. I × w

Answers

Answer:

A. 2(I + w)

Step-by-step explanation:

The space bounded by a rectangle is its perimeter. So, I would use 2(l + w) where l = length of rectangle and w = width of rectangle.

As an example, suppose we have a rectangle of length, l = 40 meters and width, w = 20 meters and seek to find its perimeter that is, the space bounded by the rectangle, we substitute the values of l and w into the equation for the perimeter.

So, P = 2(l + w)

substituting the values of l and w into the equation, we have

P = 2(l + w)

P = 2(40 m + 20 m)

P = 2(60 m)

P = 120 m

So the space bounded by the rectangle is 120 m.

So, to find the space bounded by a rectangle, we use 2(l + w).

So, the answer is A.

check all that apply. if cos0 = 13/5, then: ?

Answers

Answer:

D

Step-by-step explanation:

if cosec is 13/5 then sin is 5/13

Which of the following savings plans is modeled by the table of values
below?
.

Answers

Answer:

"D"

tart at $10 then 4 each day

Step-by-step explanation:

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