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Lorico [155]
1 year ago
7

Find the value of LK

Mathematics
2 answers:
Minchanka [31]1 year ago
4 0

Answer:

\sf \: LK = 7 \: units

Step-by-step explanation:

It's clear that,

\sf \: NM + ML + LK = NK

Given that,

NM ---> x - 6

ML ---> 9

LK ---> 2x - 19

NK ---> 23

First, let us find the value of x using these values.

\sf \: NM + ML + LK = NK \\ \sf x - 6 + 9 + 2x - 19 = 23 \\  \sf \: combine \: like \: terms. \\  \sf \: 3x - 16 = 23 \\  \sf3x = 23 + 16 \\  \sf3x = 39 \\  \sf \: divide \: both \: sides \: by \: 3. \\  \sf \: x = 13

And now we have to find out the length of LK.

As we mentioned before,

LK = 2x - 19

So, to find the length of LK, we have to replace x with 13 and solve the equation.

<u>Let</u><u> </u><u>us</u><u> </u><u>solve</u><u> </u><u>now</u><u>.</u><u> </u>

<u>\sf \: LK = 2x - 19 \\  \sf \: LK = 2 \times 13 - 19 \\ \sf \: LK = 26- 19 \\ \sf \: LK = 7 \: units</u>

mote1985 [20]1 year ago
3 0

Answer:

LK = 7

Step-by-step explanation:

We are using segment addition

NM + ML + LK = NK

x-6  + 9 +  2x-19  = 23

Combine like terms

x+2x   -6+9-19 = 23

3x -16 = 23

Add 16 to each side

3x-16+16 = 23+16

3x = 39

Divide each side by 3

3x/3 = 39/3

x = 13

We want to find the value of LK

LK = 2x-19

     =2(13) -19

     = 26 -19

    = 7

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