Question

solve for h in the proportion.
\\(\frac{50}{h + 85} = \frac{5}{9}\\)
(h = square)

Explanation:

Step1: Cross - multiply the proportion

To solve the proportion \(\frac{50}{h + 85}=\frac{5}{9}\), we use the cross - multiplication property of proportions. If \(\frac{a}{b}=\frac{c}{d}\), then \(a\times d=b\times c\).
So, \(50\times9 = 5\times(h + 85)\)
\(450=5h + 425\)

Step2: Isolate the variable term

Subtract 425 from both sides of the equation to isolate the term with \(h\).
\(450-425=5h+425 - 425\)
\(25 = 5h\)

Step3: Solve for h

Divide both sides of the equation by 5 to solve for \(h\).
\(\frac{25}{5}=\frac{5h}{5}\)
\(h = 5\)

Answer:

\(h = 5\)