Answer:
38°
Step-by-step explanation:
The sum of angles that make a line is 180°; the sum of angles in a triangle is 180°. So, we have the following relations:
2x +y +A = 180
2y +x + B = 180
A +B +33 = 180
Adding the first two equations and subtracting the third, we get ...
(2x +y +A) +(2y +x +B) -(A +B +33) = 180 +180 -180
3x +3y -33 = 180
x + y - 11 = 60
x + y = 71
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We know vertical angles are congruent, so in triangle QRK, we have ...
2y +2x +∠K = 180
∠K = 180 -2x -2y = 180 -2(x +y) = 180 -2(71)
∠JKL = 38°
Answer:
200?
Step-by-step explanation:
Answer:
0.00335
Step-by-step explanation:
Probability that one of the components works for x hours before failing is given by
f(x) = 2e⁻²ˣ
We can then find the probability that one of the components works for x = 4 hours before failing
f(x) = 2e⁻⁸ = 0.0006709253
Probability that the system works for 4 hours = probability that at least 1 of the components of the system works for 4 hours =
1 - (Probability that none of the components of the system works for 4 hours)
Probability that one of the components doesn't work for 4 hours = 1 - 0.000670925 = 0.9993290747
Probability that none of the 5 components work for 4 hours = (0.9993290747)⁵ = 0.9966498721
Probability that the system works for 4 hours = probability that at least 1 of the components of the system works for 4 hours
= 1 - (Probability that none of the components of the system works for 4 hours)
= 1 - 0.9966498721 = 0.0033501279
Hope this Helps!!!
Answer:
3x+2y = 30
Step-by-step explanation:
The area of the rectangle on the left is
A = 3x
The area of the rectangle on the right is
A = 2y
The sum of the areas is
3x+2y = 30