1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
geniusboy [140]
3 years ago
15

Point K is on line segment JL. Given KL = 2x – 2, JL = 4x + 9, and

Mathematics
1 answer:
sergeinik [125]3 years ago
7 0

Answer:

JL = 21

Step-by-step explanation:

Given that K is on line segment JL, therefore:

KL + JK = JL (according to segment addition postulate)

KL = 2x - 2

JK = 5x + 2

JL = 4x + 9

Thus:

(2x - 2) + (5x + 2) = (4x + 9)

Solve for x

2x - 2 + 5x + 2 = 4x + 9

2x +5x - 2 + 2 = 4x + 9

7x = 4x + 9

Subtract 4x from both sides

7x - 4x = 4x + 9 - 4x

3x = 9

Divide both sides by 3

\frac{3x}{3} = \frac{9}{3}

x = 3

Find the numerical length of JL

JL = 4x + 9

Plug in the value of x

JL = 4(3) + 9 = 12 + 9 = 21

You might be interested in
Solve x^2-6x+25 = 0 by completing the square.
Oksana_A [137]

First, subtract both sides by 25:

x^2 - 6x = -25

Because we're completing the square, we subtract both sides by 9:

x^2 - 6x - 9 = -34

(x - 3) = 5.831 (about)

x = 8.831

3 0
3 years ago
Latanya buys 5 yard of blue fabric and 8 yards of green fabric. the blue fabric cost $2 dollars more than the green fabric.she p
Oksi-84 [34.3K]

Answer: $10

Step-by-step explanation:

let x = the price of green fabric, then x+2 = blue fabric price

8x+5(x+2)=62

8x+5x+10=62

    13x+10=62

          13x=52

              x=4

price of green fabric=$4

price of blue fabric=$6

4+6=$10

8 0
3 years ago
Which set of side lengths create a right triangle ?
I am Lyosha [343]

Answer:

(8, 15 and 17)

Step-by-step explanation:

\sqrt{10^{2} +28^{2} } \neq 29

\sqrt{6^{2} +8^{2} } \neq 13

\sqrt{7^{2} +12^{2} } \neq 14

\sqrt{8^{2} +15^{2} } =17

3 0
3 years ago
Find the scale factor that was used
zimovet [89]
Scale factor is 2
30/15 = 2
20/10 = 2
3 0
3 years ago
Read 2 more answers
Solve the following system by any method -8x-8y=0 -8x+2y=-20
iVinArrow [24]
                     \fbox{Solution by using Matrix} 

\text{Linear Equation} = -8x-8y=0 , -8x+2y=-20

\text{Rewrite the linear equations above as a matrix} 

\left[\begin{array}{ccc}8&-8&0\\-8&2&-20\\\end{array}\right] 

\text{Apply to Row2 : Row2 + Row1} 

\left[\begin{array}{ccc}8&-8&0\\-8&-6&-20\\\end{array}\right] 

\text{ Simplify rows} 

\left[\begin{array}{ccc}8&-8&0\\0&1&10/3\\\end{array}\right] 

\text{Note: The matrix is now in echelon form.}\text{The steps below are for back substitution.} 

\text{Apply to Row1 : Row1 + 8 Row2} 

\left[\begin{array}{ccc}8&0&80/30\\0&1&10/3\\\end{array}\right] 

\text{ Simplify rows}  

\left[\begin{array}{ccc}1&0&10/3\\0&1&10/3\\\end{array}\right] 

\text{Therefore, the solution is} 

x= \dfrac{10}{3} \ \text{and} \ \ y=\dfrac{10}{3}
7 0
3 years ago
Other questions:
  • What do double brackets around an x mean?
    14·2 answers
  • Skye's two new aquariums each hold exactly 200 gallons of water. One aquarium will hold small fish and the other will hold large
    6·2 answers
  • A woman bought some large frames for $10 each and some small frames for five dollars each add a closeout sale if she bought 17 f
    14·1 answer
  • dolores is selling cucumbers from her backyard garden her garden is 48 square feet in total and she can grow 1 cucumber every 72
    15·1 answer
  • How do you find the degree of a polynomial function
    5·1 answer
  • Explain the steps needed to determine the value of the expression shown below be sure to provide the correct value of the expres
    7·1 answer
  • The equation of a line, written in point-slope form, is y - 4=5(x - 5). What is the slope (m) and a point this line goes through
    11·1 answer
  • WILL GIVE BRAINLIEST!!! A rectangular field has an area of 4200 feet. Let the length of the field be (x+2) and the width be (x-3
    10·2 answers
  • Can someone help me? I don’t have much time.
    12·1 answer
  • Need help or the answer for these two someone help please!!
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!