To decompose a quadrilateral into two identical shapes, Clare drew a dashed line as shown in the diagram. 1. She said that two resulting shapes have the same area. Do you agree? Explain your reasoning.
Did Clare partition the figure into two identical shapes? Explain your reasoning.

Step-by-step explanation:

See attached

The figure in the graph is trapezium

1..................................................

The two shapes have an area of

Triangle:

Rectangle:

2..................................................

The two partitions are not identical in shape as one of them is triangle and the other is rectangle

answer: the answer is (b) amie should have multiplied

step-by-step explanation: given a sphere and a cylinder with same radius and height.

let, 'r' be the radius of the cylinder and sphere and 'h' be the height of the cylinder. according to the question,

r = h.

now, the volume of the sphere will be

and the volume of the cylinder will be

therefore, we have

thus, ammie should have multiplied the volume of the sphere

b) 1/3 * 1/5

step-by-step explanation:

each smallest part is 1/15 since the written one is 1/5 and it's divided by 3 equal parts. (1/5 )/3 = 1/15 = 1/3 * 1/5