91Ó°ÊÓ

a \(\operatorname{In} \frac{3}{4}=\frac{9}{12},\) what is the third term? b Name the means and the extremes of the proportion in part a.

Find the fourth proportional for each set of three terms. a \(1,2,3\) b $$\frac{1}{2}, 3,4$$ c \(a, b, 5\)

$$\begin{aligned} &\text { Given: } \triangle \mathrm{NOP} \sim \triangle \mathrm{RST}\\\ &\text { Prove: } \mathrm{NO} \cdot \mathrm{RT}=\mathrm{RS} \cdot \mathrm{NP} \end{aligned}$$ (GRAPH CAN'T COPY)

Find the ratio of \(x\) to \(y\) if a \(2 x=3 y\) b $$6(y+3)=2(x+9)$$ c $$\frac{3}{x+5}=\frac{9}{y+15}$$

Find the mean proportionals between each pair of extremes. a 4 and 25 b 2 and 5

What is the ratio of the number of diagonals in a pentagon to the measure of each exterior angle of a regular decagon?

A \(60-\mathrm{m}\) tower casts a \(50-\mathrm{m}\) shadow, while one-half block away a telephone pole casts a 20 -m shadow. How tall is the telephone pole?

Given two squares with sides 5 and 7 a What is the ratio of their perimeters? b What is the ratio of their areas?

A shadow problem: Mannertink observed that a tree was casting, a \(30-\mathrm{m}\) shadow. A nearby flagpole was casting a \(24-\mathrm{m}\) shadow. If the flagpole was \(20 \mathrm{m}\) high, how tall was the tree?

If the ratio of the measures of a pair of sides of a parallelogram is 2: 3 and the ratio of the measures of the diagonals is \(1: 1,\) what is the most descriptive name of the parallelogram?