IU. strate this 43, Creative section 5. a) P and Q are the subsets of a universal. set U in which there are n (U) n (P) = 25, n (Q) = 18 and n ( PQ) = 7. (i) Draw a Venn-diagram to illustrate the above information. (ii) Find the value of n (PUQ). the cuheats of I If n (A) = 75 %, n (B) 60% and n (AUB) = 0 %,​

step-by-step explanation:

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(b) 240

step-by-step explanation:

first, we use the pythagorean formula using the given side lengths to find x. then we use x to find the side lengths. then we add the side lengths to find the perimeter.

pythagorean theorem formula:

a^2 + b^2 = c^2

(x - 20)^2 + (x - 40)^2 = x^2

x^2 - 40x + 400 + x^2 - 80x + 1600 = x^2

x^2 -120x + 2000 = 0

(x - 100)(x - 20) = 0

x - 100 = 0 or x - 20 = 0

x = 100 or x = 20

we see that the solution x = 20 must be discarded because it will give a negative side length and a side length of 0. the only valid solution is x = 100.

perimeter = sum of the lengths of the sides

perimeter = x + x - 20 + x - 40

perimeter = 3x - 60

replace x with 100.

perimeter = 3(100) - 60

perimeter = 300 - 60

perimeter = 240

answer: group b.

step-by-step explanation:

answer: 180 degrees clockwise

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