Question

1. calculate fg if if = 8, ih = 22, nm = 12, and ml = 30

fghi ~ mlpn
fg =

Explanation:

Step1: Identify corresponding sides

Since \(FGHI\sim MLPN\), the ratios of corresponding - sides are equal. Let's assume that \(IF\) corresponds to \(NM\) and \(FG\) corresponds to \(ML\).

Step2: Set up proportion

The proportion of corresponding sides is \(\frac{IF}{NM}=\frac{FG}{ML}\).

Step3: Substitute values

We know that \(IF = 8\), \(NM = 12\), and \(ML = 30\). Substituting these values into the proportion \(\frac{8}{12}=\frac{FG}{30}\).

Step4: Solve for \(FG\)

Cross - multiply: \(12\times FG=8\times30\). Then \(12FG = 240\). Divide both sides by 12: \(FG=\frac{240}{12}=20\).

Answer:

20