Question

quadrilateral hijk is similar to quadrilateral lmno. find no. round your answer to the nearest tenth if necessary. figures are not drawn to scale.
answer attempt 1 out of 2

Explanation:

Step1: Set up the proportion

Since quadrilateral \(HIJK\) is similar to quadrilateral \(LMNO\), the ratios of corresponding sides are equal. So, \(\frac{NO}{IJ}=\frac{LN}{HI}\).

Step2: Substitute the values

We know \(IJ = 25\), \(LN=43\), and \(HI = 14\). Let \(NO=x\). Then the proportion becomes \(\frac{x}{25}=\frac{43}{14}\).

Step3: Solve for \(x\)

Cross - multiply: \(14x=43\times25\). So, \(14x = 1075\). Then \(x=\frac{1075}{14}\approx76.8\).

Answer:

\(76.8\)