Answer:
5. x = -1
6. x = 2
Step-by-step explanation:
5. AB = 5
BC = 2x + 6
AC = x + 10
AB + BC = AC (segment addition postulate)
5 + 2x + 6 = x + 10 (substitution)
Collect like terms
5 + 6 + 2x = x + 10
11 + 2x = x + 10
2x - x = - 11 + 10
x = -1
6. AB = 9x + 7
BC = -3x + 20
AC = 39
AB + BC = AC (segment addition postulate)
(9x + 7) + (-3x + 20) = 39 (substitution)
Solve for x
9x + 7 - 3x + 20 = 39
Collect like terms
9x - 3x + 7 + 20 = 39
6x + 27 = 39
Subtract 27 from both sides
6x + 27 - 27 = 39 - 27
6x = 12
Divided both sides by 6
6x/6 = 12/6
x = 2
Answer:
121.9
Step-by-step explanation:
I will use pi but not in the answer
use formula V=πr²h
(π)(3.5²)(5.5)
12.25 × 5.5=67.375 × π=211.6648...
1/2(4/3(π(3.5³))
4/3(42.875)=57.166...× π = 179.59438...
1/2(179.59438...) = 89.79719...
211.6648... - 89.79719... = 121.86761... ≈ 121.9
Answer:
Step-by-step explanation:
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Answer:
They are mutually exclusive.
Step-by-step explanation:
A and B are mutually exclusive events if they cannot occur at the same time. This means that A and B do not share any outcomes and P(A AND B). Therefore, A and C are mutually exclusive