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find the value of c.

Question

find the value of c.

Explanation:

Step1: Set up the proportion

Since the lines are parallel, we can use the proportion \(\frac{11}{c}=\frac{8}{32}\).

Step2: Cross - multiply

Cross - multiplying gives \(8c = 11\times32\).

Step3: Solve for \(c\)

First, calculate \(11\times32 = 352\). Then, \(c=\frac{352}{8}\).

Answer:

\(c = 44\)