Mathematics, 29.06.2019 10:00, lwilliams28

Ab = 2x + 61 bc = 60 − 3x cd = 6x + 45 ad = 40 + 2x quadrilateral abcd is a parallelogram if both pairs of opposite sides are congruent. prove that quadrilateral abcd is a parallelogram by finding the lengths (in centimeters) of the opposite side pairs? a) 65 cm, 44 cm b) 69 cm, 48 cm c) 76 cm, 52 cm d) 80 cm, 58 cm

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answered: jak000067oyyfia

B) 69 cm, 48 cm

Step-by-step explanation: The way to get the answer is by making AB equal to CD because when you draw the parallelogram, they are congruent. Once you solve for x (equals 4) in 2x + 61 = 6x + 45 you substitute x in 2(4) + 61 and get 69. Now you substitute x in AD: 40 + 2x. You get 48. You dont need to substitute in BC because it is parallel to AD, meaning it is congruent. Now with the 2 answers, you get 69 cm for AB and CD, and you get 48 cm for BC and AD. Hope this helped.

answered: Guest

oof the porridges

step-by-step explanation:

oof the porridges

plz don't report me lol

answered: Guest

step-by-step explanation:

i found the life tables for the year 2012.

life table of males at age 30. probability of dying between ages x and x+1

total population:

29–30 . . . . . . . . . . . . 0.001030

30–31 . . . . . . . . . . . . 0.001061

males:

29–30 . . . . . . . . . . . . 0.001420

30–31 . . . . . . . . . . . . 0.001448

white population

29–30 . . . . . . . . . . . . 0.001005

30–31 . . . . . . . . . . . . 0.001037

white males

29–30 . . . . . . . . . . . . 0.001372

30–31 . . . . . . . . . . . . 0.001399

non hispanic white population

29–30 . . . . . . . . . . . . 0.001083

30–31 . . . . . . . . . . . . 0.001116

non hispanic white males

29–30 . . . . . . . . . . . . 0.001477

30–31 . . . . . . . . . . . . 0.001503

jacob, non hispanic white male. 30 years old.

probability that jacob lives to be 30 years old.

since the given probabilities are probabilities of dying, i think we simply subtract it from 1 to get the probability of living. we will use the probability of non hispanic white male.

probability of living to be 30 y.o.

29 - 30 : 1 - 0.001477 = 0.998523

30 - 31 : 1 - 0.001503 = 0.998497

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Ab = 2x + 61 bc = 60 − 3x cd = 6x + 45 ad = 40 + 2x quadrilateral abcd is a parallelogram if both pa...