Answer:
x = 10
Step-by-step explanation:
A parallelogram's angles should all add up to 360 degrees. 130+130 is equal to 260 degrees. 360-260 is equal to 100. Because we need to find the individual angles of Angle A and Angle C, we will divide 100 by two. That leaves us with 50 degrees for Angle A and Angle C EACH. We know Angle C is equal to 5x. So, we would divide 50 by 5, which leaves us with 10 degrees. Therefore, x = 10.
9514 1404 393
Answer:
(b) x = 7, AB = 9, AC = 12
Step-by-step explanation:
ΔAEB ~ ΔCDB so corresponding sides are proportional.
AB/CB = AE/CD
(x+2)/(x -4) = 12/4
x +2 = 3(x -4) . . . . . . multiply by x-4
x +2 = 3x -12 . . . . . . eliminate parentheses
14 = 2x . . . . . . . . . . . add 12-x
7 = x . . . . . . . . . . . . . divide by 2
AB = x +2 = 7 +2 = 9
BC = x -4 = 7 -4 = 3
AC = AB +BC = 9 +3 = 12
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In summary, ...
x = 7, AB = 9, AC = 12 . . . . . matches the 2nd choice
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<em>Additional comment</em>
Please note the other choices make no sense.
(a) AB = x +2 = -5 +2 = -3 ≠ -9
(c) AC = 2x-2 = 2(7) -2 = 12 ≠ 9
(d) segment lengths are never negative in a geometrical figure
The answer is since the the angle on the inside of the triangle is 90 degrees by supplementary angles and the other angle that is not p is 47 degree, also by supplementary angles. Thus you take 90+47=137 and subtract it from 180 since that is is the total angle sum of a triangle and you get 43 degrees or answer b
