This is a similarity and congruence question.
When shapes are similar, their angles are equal but their sizes are proportionate
So we can say this:
Angle GHE or z = Angle CDA
Angle GHE or z = 110
Answer would be 110
Answer:
10 is your answer
Step-by-step explanation:
First you factor 128 to get two numbers (one has to be a perfect square)
![2\sqrt{128} = 2\sqrt{64 * 2}](https://tex.z-dn.net/?f=2%5Csqrt%7B128%7D%20%3D%202%5Csqrt%7B64%20%2A%202%7D)
You can then break them down into separate square roots like so
![2\sqrt{64 * 2} = 2\sqrt{64}\sqrt{2}](https://tex.z-dn.net/?f=2%5Csqrt%7B64%20%2A%202%7D%20%3D%202%5Csqrt%7B64%7D%5Csqrt%7B2%7D)
Then you simplify the root of 64
![2\sqrt{64}\sqrt{2} = 2 * 8\sqrt{2}](https://tex.z-dn.net/?f=2%5Csqrt%7B64%7D%5Csqrt%7B2%7D%20%3D%202%20%2A%208%5Csqrt%7B2%7D)
And finally, multiply the 2 by the 8 and you have your final answer
We have to identify the given object.
A. Cube: The given object is not a cube because cube is a box-shaped solid object that has six identical square faces. But here, the given figure does not have the identical faces.
B. Polygon: The given object is not a polygon because a polygon is any 2-dimensional shape formed with line segments. But here, the given figure is not 2-dimensional.
C. Polyhedron: The given object is a polyhedron because a polyhedron is a solid in three dimensions with flat polygonal faces, straight edges and sharp corners or vertices. Therefore, it is a polyhedron.
D. Prism: The given object is a prism because a prism is a polyhedron consisting of two parallel, congruent faces called bases. This is called a rectangular prism because a Prism with rectangular bases is a Rectangular Prism.
E. Pyramid: The given object is not a pyramid because a pyramid is a 3-dimensional shape whose base is a polygon. Each corner of a polygon is attached to a singular apex, which gives the pyramid its distinctive shape. Each base edge and the apex form a triangle. The given object does not appears like this.
So, the given object is Polyhedron and Prism(rectangular).