Definition: Vertical Angles
Vertical angles are a pair of non-adjacent angles formed when two lines intersect.
Answer: the number must be placed in the box is 9
suppose: the number must be placed in the box is x
have:
5u + 3(4u - 6) = -3u -27 + 20u + x
⇔ 5u + 12u - 18 = -3u - 27 + 20u +x
⇔ 17u + 3u - 20u = -27 + 18 + x
⇔ 0 = x - 9
⇔ x = 9
Step-by-step explanation:
Answer:
ab
Step-by-step explanation:
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Note, since both factors have the same denominator, we can add the numerators together.
Numerator :
5n + (2m + 4n) = 5n + 2m + 4n = 9n + 2m
Denominator :
30m
Thus,
= (9n + 2m) / 30m
Answer:
6 swimmers in the first heat can be arranged in 1716 different ways.
Step-by-step explanation:
A swim meet has 13 contestants signed up. To calculate the arrangement of first 6 swimmers in first heat we will use combinations because order doesn't matter.
So to select 6 swimmers out of 13 contestants number of different ways
= 
= 
= 
= 
= 
= 1716
Therefore, 6 swimmers in the first heat can be arranged in 1716 different ways.