Question

1. nature below is a picture of an auger shell. find x and y. 8.8 mm 7.5 11 mm x 10 mm x= type your answer... mm and y= type your answer... mm

Explanation:

Step1: Use the property of similar triangles

Since the triangles are similar, the ratios of corresponding sides are equal. For \(x\), we have \(\frac{8.8}{11}=\frac{7.5}{x}\).
Cross - multiply: \(8.8x = 11\times7.5\).

Step2: Solve for \(x\)

\(x=\frac{11\times7.5}{8.8}=\frac{82.5}{8.8}=9.375\)

Step3: Use the property of similar triangles for \(y\)

\(\frac{8.8}{11}=\frac{y}{10}\)
Cross - multiply: \(11y=8.8\times 10\)

Step4: Solve for \(y\)

\(y = \frac{8.8\times10}{11}=8\)

Answer:

\(x = 9.375\) and \(y = 8\)