Answer:
27 weeks.
Step-by-step explanation:
You need to calculate the minimun common multiple between the three times.
1 week = 1^1 week
9 weeks = 3^2 weeks
27 weeks = 3^3 weeks
You take the 1 and the 3 with the biggest exponent and multiply. In this case is 1^1*3^3 = 27. So, in 27 weeks the pkanets will all be in alignment.
Answer:
56 ways
Step-by-step explanation:
Number of ways is given by n combination r (n!/(n - r)!r!)
n = total number of students = 8, r = the number of summer courses = 3
Number of ways = 8 combination 3 = 8!/(8-3)!3! = 8!/5!3! = 8×7×6×5!/5!×6 = 8×7 = 56 ways
Answer:
9/16
Step-by-step explanation:
i took the test ;)
Answer:
63° (same as Z)
Step-by-step explanation:
The question indicates that ΔXYZ is similar to ΔEDF.
By definition, when we indicate that triangle XYZ is similar to the triangle EDF, the order of the letters is important and match the congruent angles.
So, ∠X = ∠E, ∠Y = ∠D and ∠Z = ∠F
It's hard to see because the angles are quite similar in opening (56°, 63° and 61°), and the drawing doesn't seems to be to scale.
But according to the naming convention: ∠Z = ∠F
Since ∠Z = 63°, ∠F = 63°
x - 6 = 0
This equation does not belong because it is already fully simplified.
