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Can someone show me how to solve this step by step?

Can someone show me how to solve this step by step?-example-1
User Pedro LM
by
6.4k points

1 Answer

7 votes

9514 1404 393

Answer:

x = -15

Explanation:

It appears the drawing is showing two representations for the distance LK. Of course, they both have the same value.

10 = LK = x+25

Subtracting 25 from the equation, we have ...

-15 = x

(This value of x makes KJ = (2(-15)+27) = -3, a nonsense value.)

_____

Alternate (more sensible) interpretation

If the bottom line is intended to represent LJ, then we have ...

10 +(2x+27) = (x +25) . . . . LK +KJ = LJ

x +37 = 25 . . . . subtract x

x = -12 . . . . . . . subtract 37

With this value of x, the length of KJ is 2(-12)+27 = 3, and the overall length LJ is (-12)+25 = 13. This is consistent: LK=10, KJ = 3, LJ = 13.

User Msporek
by
5.8k points
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