The figure shows line AC and line PQ intersecting at point B. Lines A’C’ and P’Q’ will be the images of lines AC and PQ, respectively, under a dilation with center P and scale factor 2. Which of the following statements about the image of lines AC and PQ would be TRUE under the dilation?
A. Line A’C’ will be parallel to line AC, and line P’Q’ will be parallel to line PQ.
B. Line A’C’ will be perpendicular to line AC, and line P’Q’ will be the same line as line PQ.
C. Line A’C’ will be perpendicular to line AC, and line P’Q’ will be parallel to line PQ.
D. Line A’C’ will be parallel to line AC, and line P’Q’ will be the same line as line PQ.

area of part 1:

a1=base*height/2=(8+2)*(8-2-2-1)/2=10*3/2=15 ft^2

area of part 2:

a2=length*width=(8+2)*1=10 ft2

area of part 3:

a3=length*width=8*2=16 ft2

total shaded area : a1+a2+a3=41 ft2

total area of the reactangle : a=16*8=128 ft2

total area of the nonshaded region : 128-41=87 ft2

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

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step-by-step explanation:

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