Answer:
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Answer:
8 square units and
square units
Step-by-step explanation:
The area of the triangle ABC is 24 square units.
1. Triangles ABC and FBG are similar with scale factor
then

2. Triangles ABC and DBE are similar with scale factor
then

3. Thus, the area of the quadrilateral DFGE is

and the area of the quadrilateral ADEC is

Answer: 55
Step-by-step explanation:
![\sqrt[3]{4x-4}=6](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B4x-4%7D%3D6)
Begin by cubing each side of the equation to get rid of the cubic root.
![(\sqrt[3]{4x-4})^3=(6)^3\\ 4x-4=216](https://tex.z-dn.net/?f=%28%5Csqrt%5B3%5D%7B4x-4%7D%29%5E3%3D%286%29%5E3%5C%5C%204x-4%3D216)
add 4

Divide by 4


9514 1404 393
Answer:
56 ft
Step-by-step explanation:
The geometry can be modeled by a right triangle with an unknown hypotenuse, and a side opposite the 30° angle that is 28 ft.
sin(30°) = (28 ft)/hypotenuse
hypotenuse = (28 ft)/sin(30°) = 56 ft
The length of the escalator is 56 feet.
Step-by-step explanation:
=2√-28
=2√4×7×-1
=2(2)√7×-1
=4i√7 (i=√-1)
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