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



Triangle JKL is similar to triangle MNO. Find the measure of side OM. Round your answer-example-1

2 Answers

4 votes

Answer:43.1

Explanation:

User Mmmoustache
by
6.9k points
6 votes

Answer:

x=18.5

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

User Eugene B
by
7.4k points