2 years ago

Pleaseeee helpppp !!!!!!! Mark Brianliest !!!!!!!!!!!!!!!!

Mathematics

1 answer:

andriy [413]2 years ago

3 0

Answer:

LP = 18

Step-by-step explanation:

Given that,

In ΔLPN,

LQ = 6, LM = 11 and MN = 22

We need to find the length of LP.

As QM ║PN, let QP = x

$\dfrac{LQ}{LP}=\dfrac{LM}{LN}\\\\\dfrac{6}{6+x}=\dfrac{11}{11+22}\\\\\dfrac{6}{6+x}=\dfrac{11}{33}\\\\198=66+11x\\\\198-66=11x\\\\132=11x\\\\x=12$

LP = 6+x

= 6+ 12

= 18

Hence, the length of LP is 18.

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For any clarification, Please contact me in the comment section :)

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Step-by-step explanation:

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