Question

in the figures below, \\( \triangle qsr \sim \triangle xyz \\). what is the length of \\( \overline{qr} \\)?

the 2008 yearbook at middleton middle school had 236 candid pictures of students. the 2007 yearbook had 214 candid pictures of students. what was the percent of change in the number of candid student pictures from 2007 to 2008 to the nearest tenth?

Explanation:

Step1: Set up proportion

Since \(\triangle QSR\sim\triangle XYZ\), the ratios of corresponding sides are equal. So \(\frac{QR}{XZ}=\frac{SR}{YZ}\). Let \(QR = x\). We know \(SR = 20\), \(YZ = 8\), and \(XZ = 10\). The proportion becomes \(\frac{x}{10}=\frac{20}{8}\).

Step2: Solve the proportion

Cross - multiply: \(8x=20\times10\). So \(8x = 200\). Then \(x=\frac{200}{8}=25\).

Answer:

G 25