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
mamaluj [8]
3 years ago
11

If JL = 8x-3 and LK = 4x + 57, Find JK

Mathematics
2 answers:
lisabon 2012 [21]3 years ago
6 0
JK =8x-3 +4X+57
JK = 12x+ 54
telo118 [61]3 years ago
4 0

Answer: JK = 234

Concept:

Here, we need to know the idea of the segment addition postulate.

The Segment Addition Postulate states that given 2 points A and C, a third point B lies on the line segment AC if and only if the distances between the points satisfy the equation AB + BC = AC.

Solve:

<h2><u>PART I: Find the value of x</u></h2>

<u>Given information</u>

JL = 8x - 3

LK = 4x + 57

<u>Given expression deducted from the given figure</u>

JL = LK

<u>Substitute values into the expression</u>

8x - 3 = 4x + 57

<u>Add 3 on both sides</u>

8x - 3 + 3 = 4x + 57 + 3

8x = 4x + 60

<u>Subtract 4x on both sides</u>

8x - 4x = 4x + 60 - 4x

4x = 60

<u>Divide 4 on both sides</u>

4x / 4 = 60 / 4

x = 15

-------------------------------------------------------------------------------

<h2><u>PART II: Find the value of JK</u></h2>

<u>Given information</u>

JL = 8x - 3

LK = 4x + 57

x = 15

<u>Given expression deducted from the segment addition postulate</u>

JK = JL + LK

<u>Substitute values into the expression</u>

JK = 8x - 3 + 4x + 57

JK = 8(15) - 3 + 4(15) + 57

<u>Simplify by multiplication</u>

JK = 120 - 3 + 60 + 57

<u>Simplify by simple operation (addition/subtraction)</u>

JK = 117 + 60 + 57

JK = 177 + 57

\boxed{JK=234}

Hope this helps!! :)

Please let me know if you have any questions

You might be interested in
Can someone help pls
lora16 [44]

I got 7.1 x 10^(-11) but it's been a few years so I could've done it wrong

5 0
3 years ago
Subtract.
Illusion [34]

Answer:−93 3−153−53

Step-by-step explanation:

wrong answer but the answer is on google

6 0
2 years ago
How do you find the length of an arc
lilavasa [31]

Answer: You divide the degree measure of the arc by 360 degrees.

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Find the value of x.
anygoal [31]
Just do each number to they square root
5 0
2 years ago
Read 2 more answers
5892 ÷ 18<br><br> 327<br><br> 327118<br><br> 32713<br><br> 327718
gregori [183]
5892 divided by 18 is 327 rounded
7 0
3 years ago
Read 2 more answers
Other questions:
  • Is the following study descriptive or​ inferential? In a statistical​ magazine, average professional​ athletes' salaries in thre
    7·1 answer
  • Which equation is equivalent to z«-<br> ?<br> V<br> 2/3x-5/6=-5/12x+1/4
    5·1 answer
  • What is the value of begin expression . . . 81 times x raised to the second power, times y raised to the third power, plus z . .
    13·1 answer
  • Plz answer i suck at math :)
    12·2 answers
  • How may time can 14 go into 28?
    9·1 answer
  • What is the 18th partial sum of this geometric series 200, 100, 50
    11·1 answer
  • In triangle DEF, if the measures of angles D and E are equal, and the measure of
    12·1 answer
  • How many isosceles triangles are in a rectangle
    10·2 answers
  • In ΔKLM, l = 820 cm, m = 560 cm and ∠K=169°. Find the length of k, to the nearest centimeter.
    9·2 answers
  • 1. On the subway, 8 out of 11 people are
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!