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Aliun [14]
3 years ago
5

Triangle JKL is similar to triangle MNO. Find the measure of side OM. Round your answer to the nearest tenth if necessary.

Mathematics
2 answers:
creativ13 [48]3 years ago
7 0

Answer:

x=18.5

Step-by-step explanation:

\frac{\color{steelblue}{KL}}{\color{indianred}{LJ}}=

LJ

KL

​

=

\,\,\frac{\color{steelblue}{NO}}{\color{indianred}{OM}}

OM

NO

​

\frac{Blue}{Red}=\frac{Blue}{Red}

Red

Blue

​

=

Red

Blue

​

\frac{58}{43}=

43

58

​

=

\,\,\frac{25}{x}

x

25

​

Substitute

58\cdot x=

58⋅x=

\,\,25\cdot 43

25⋅43

Cross Multiply

58x=

58x=

\,\,1075

1075

Multiply

x=

x=

\,\,18.534482...

18.534482...

Divide

x\approx

x≈

\,\,18.5

18.5

Sonbull [250]3 years ago
3 0

Answer:43.1

Step-by-step explanation:

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