Use turquoise (equilateral) triangles to investigate if a vertex of a polyhedron can be formed with fewer than three edges. Use a sketch to support your thinking.

ind the values of the trigonometric functions of the angle (in standard position) whose terminal sid \( (\sqrt{6},-\sqrt{2}) \) \( \sin \alpha=\frac{-1}{2} \) (Simplify your answer. Type an exact answer, using radicals as needed. Use integers or fractions fo \( \cos \alpha=\square \) (Simplify your answer. Type an exact answer, using radicals as needed. Use integers or fractions for

Simplify. \[ \frac{\frac{5 x^{3}}{2 x+6}}{\frac{x+5}{3 x+9}} \]

Perimetro axpresen en la unidad indicada a. \( 0,05 \mathrm{~km}= \) b. \( 2,5 \mathrm{dm}= \) c. \( 1235 \mathrm{~cm}= \) d. \( 3500 \mathrm{~mm}= \) e. \( 7,5 \mathrm{hm}= \) f. \( 0,034 \mathrm{~km}= \)

15. Mobil aloqa tarmog'iga birinchi yilda shahar zaloining \( \frac{2}{7} \) fismi, ikkinchi yili esa \( \frac{3}{7} \) qismi ulandi. Shahar zalqining ancha qismi mobil aloqa tarmogiga ulangan? Agar haharda 87500 odam yashaydigan bolsa, hozir ulaming anchasi mobil aloqa sizmatidan foydalanmasdi?

Prosecutor Jose is known among his fellow prosecutors as a policy reformer. Which of the following is Jose MOST LIKELY to support? A change in internal practices A major change that will affect the entire criminal justice system The status quo A disagreement with a judge who is effectively trying to run Jose's office