6. In the picture triangle A' B'C' is an image of triangle ABC after a rotation. The center of rotation is E.
А
с
B
C
45°
9 B
A'
aº
D
D'
• E
a. What is the length of side AB? Explain how you know.
b. What is the measure of angle D' ? Explain how you know.

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1.   an exact solution requires a radical solution - no decimal approximation.2. (a)4x^3 = 756x^3 = 756/4 = 189x =   cube root of 189 =   5.74   to nearest hundredth answer(b)   189 = 3*3*3*7   so we can write the cube root of 189 as 3∛7 answerchecking (a) 4*(5.74^3 =   756.48   which is very close(b)   4* ((3∛3)^3   = 4*189   = 756   - spot on! 3. i would use solution b because the original question asked for an exact solution.