Question

question
triangle jkl is similar to triangle mno. find om. round your answer to the nearest tenth if necessary. figures are not drawn to scale.
answer attempt 1 out of 2
submit answer

Explanation:

Step1: Set up the proportion

Since \(\triangle{JKL}\sim\triangle{MNO}\), the ratios of corresponding sides are equal. So, \(\frac{OM}{JL}=\frac{NO}{KL}\).

Step2: Substitute the values

We know \(JL = 25\), \(KL=18\), and \(NO = 5\). Let \(OM=x\). Then the proportion becomes \(\frac{x}{25}=\frac{5}{18}\).

Step3: Solve for \(x\)

Cross - multiply: \(18x=25\times5\). So, \(18x = 125\). Then \(x=\frac{125}{18}\approx6.9\).

Answer:

\(6.9\)