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a) Proved below

b) AD = 13.9 cm

Step-by-step explanation:

a) Finding the length of AC by Pythagorean Theorem

c² = a² + b²

c² = 12² + 5²

c² = 144 + 25

c² = 169

Taking sqrt on both sides so

AC = 13 cm

Hence proved that AC = 13 cm

b) Calculating AD by Pythagorean Theorem

c² = a² + b²

c² = 13² + 5²

c² = 169 + 25

c² = 194

Taking sqrt on both sides

AD = 13.9 cm

4 and 5)16.97 or 12√2

6)15.59 or 9√3

7)y = 15.59 or 9√3     x =27

8)17.80

the probability that a bird is green (.30) is true

step-by-step explanation: