This a 2 part question. f(x) is the graph shown.
1. suppose f(x) is an even function. what is the range of g(x)=-3f(2x)? write your answer using interval notation.

2. suppose f(x) is an odd function. what is the range of 0.5f(x-3)?
write your answer using interval notation

Express the following as a function of a single angle. cos(60) cos(-20) - sin(60) sin(-20)

If m∠abc = 70°, what is m∠abd? justify your reasoning.  using the addition property of equality, 40 + 70 = 110, so m∠abd = 110°.  using the subtraction property of equality, 70 − 30 = 40, so m∠abd = 30°.  using the angle addition postulate, 40 + m∠abd = 70. so, m∠abd = 30° using the subtraction property of equality.  using the angle addition postulate, 40 + 70 = m∠abd. so, m∠abd = 110° using the addition property of equality.

Rhombus adef is inscribed into a triangle abc so that they share angle a and the vertex e lies on the side bc . what is the length of the side of the rhombus if ab=c, and ac=b.