I need help please!!!

Mathematics

1 answer:

just olya [345]2 years ago

8 0

Answer:

JM = 7

Step-by-step explanation:

Triangles LMN and LJK are similar, so corresponding sides have teh same ratio:

LM/MN = LJ/JK

14/(JM+3) = (14 +JM)/15

210 = (JM +3)(JM +14) . . . . . multiply by 15(JM +3)

JM² +17JM -168 = 0 . . . . . . . subtract 210; put in standard form

(JM +24)(JM -7) = 0 . . . . . . factor

The values for JM that make this true are 7 and -24. The length must be positive, so ...

JM = 7

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