A survey asks 100 students whether they prefer a new music center or a new computer center. Of the 49 males surceyed, 30 prefer a music center. A total of 44 students prefer a computer center. Which two-way table represents the results of the survey?

the length of o'p' is .

step-by-step explanation:

it is given that the quadrilateral m'n'o'p' is the image of quadrilateral mnop after dilation.

the center of dilation is origin and the scale factor is 1.5.

in dilation the image and preimge are similar figures. it means the sides of image and preimage are proportional.

the scale factor is defined as

the scale factor is 1.5.

multiply both sides by op.

note: if the value of op is given, then multiply the value of op with 1.5 to get the length of side o'p'.

therefore length of o'p' is .

cross multiplying, we get :

⇒ (3) × (5) = (9) × (x)

⇒ 15 = 9x

30,40,50 is correct answer