Question

if these two shapes are similar, what is the measure of the missing length v?
99 in
30 in
54 in
v = inches
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Explanation:

Step1: Set up proportion

Since the shapes are similar, the ratios of corresponding sides are equal. So, \(\frac{99}{54}=\frac{v}{30}\).

Step2: Cross - multiply

Cross - multiplying gives \(99\times30 = 54\times v\).

Step3: Solve for \(v\)

First, calculate \(99\times30=2970\). Then, \(v=\frac{2970}{54}\).
\(v = 55\)

Answer:

\(55\)