91Ó°ÊÓ

Determine the truth value of the following statement for each set of conditions. If you have a fever, then you are sick. acsson 2.5 ) You have a fever, and you are sick.

The spiral of the state shell of Texas, the lightning whelk, can be modeled by a geometric mean. Consider the sequence of segments \(\overline{O A}, \overline{O B}, \overline{O C}, \overline{O D}, \overline{O E}, \overline{O F}, \overline{O G}\) \(\overline{O H}, \overline{O I},\) and \(\overline{O J} .\) The length of each of these segments is the geometric mean between the lengths of the preceding segment and the succeeding segment. Explain this relationship. (Hint: Consider \(\triangle F G H .\) ) (IMAGE CANNOT COPY)

Determine whether each set of measures contains the sides of a right triangle. Then state whether they form a Pythagorean triple. $$3,4,5$$

Find the measure of each angle to the nearest tenth of a degree. $$\cos D=0.1212$$

PREREQUISITE SKILL Solve each proportion. (lesson 7 -1) $$\frac{x}{6}=\frac{35}{42}$$

Find two pairs of numbers with a geometric mean of 12 .

Find the measure of each angle to the nearest tenth of a degree. $$\tan F=0.4279$$

A rectangle has an area of 25 square inches. If the dimensions of the rectangle are doubled, what will be the area of the new rectangle? F. 12.5 in \(^{2}\) G. 50 in \(^{2}\) H. 100 in \(^{2}\) J. 625 in \(^{2}\)

Determine whether each set of measures contains the sides of a right triangle. Then state whether they form a Pythagorean triple. $$9,40,41$$

Use \(\triangle J K L\) to find \(\sin J, \cos J, \tan J, \sin L, \cos L,\) and \(\tan L .\) Express each ratio as a fraction and as a decimal to the nearest hundredth. $$j=12, k=24, l=12 \sqrt{3}$$