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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

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