Semester Review 2

$$\frac{33}{x}=\frac{x}{8}$$

$$\frac{x}{33}=\frac{8}{23}$$

$$\frac{x}{8}=\frac{23}{33}$$

$$\frac{x}{8}=\frac{8}{33}$$

No, corresponding sides are not proportional

No, included angle is not congruent.

Yes, $$\Delta LMN\sim\Delta OPQ$$ by SAS

Yes, $$\Delta LMN\sim\Delta OPQ$$ by ASA

PM=8.5

PM=16

PM=20

PM=7.5

Because $$\frac{1}{2}HI=12$$ , $$HI=24$$

Because $$2HI=12,\ HI=6$$

Because $$\frac{1}{2}H'I'=HI$$ , $$\frac{1}{2}\left(12\right)=6$$

3.46

3.5

4.5

4.47

$$\sqrt[]{3}$$

$$\sqrt[]{2}$$

3

$$\sqrt[]{6}$$

$$\cos R=\frac{\text{21}}{\text{28}}$$

$$\cos R=\frac{21}{35}$$

$$\cos R=\frac{28}{35}$$

$$\cos R=\frac{28}{21}$$

$$\tan x=\frac{5.7}{39},\ x=8.3$$

$$\tan39\degree=\frac{30}{x},\ x=37.0$$

$$\tan39\degree=\frac{x}{30},\ x=24.3$$

$$\sin x=\frac{5}{8.8}$$ $$x=\sin^{-1}\left(\frac{5}{8.8}\right)$$ $$x=34.6\degree$$

$$\sin x=\frac{8.8}{5}$$ $$x=\sin^{-1}\left(\frac{8.8}{5}\right)$$ $$x=0.5\degree$$

$$\cos x=\frac{5}{8.8}$$ $$x=\cos^{-1}\left(\frac{5}{8.8}\right)$$

$$x=1.0\degree$$

$$\cos x=\frac{8.8}{5}$$ $$x=\cos^{-1}\left(\frac{8.8}{5}\right)$$

$$x=55.4\degree$$