Answer:
<u>e</u>
Step-by-step explanation:
According to Angle Sum Property :
<u>∠A + ∠B + ∠C = 180°</u>
<u />
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Given :
⇒ ∠A = 50°
⇒ ∠B = 32°
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Solving :
⇒ 50° + 32° + ∠C = 180°
⇒ ∠C + 82° = 180°
⇒ ∠C = <u>98°</u>
Answer:
see explanation
Step-by-step explanation:
The n th term ( explicit formula ) of an arithmetic sequence is
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Given a₁₂ = - 95 and a₃₇ = - 270 , then
a₁ + 11d = - 95 → (1)
a₁ + 36d = - 270 → (2)
Subtract (1) from (2) term by term to eliminate a₁
25d = - 175 ( divide both sides by 25 )
d = - 7
Substitute d = - 7 into (1) and solve for a₁
a₁ + 11(- 7) = - 95
a₁ - 77 = - 95 ( add 77 to both sides )
a₁ = - 18 , thus
= - 18 - 7(n - 1) = - 18 - 7n + 7 = - 7n - 11
= - 7n - 11 ← explicit formula
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The recursive formula allows a term in the sequence to be found by adding the common difference d to the previous term, thus
=
- 7 with a₁ = - 18 ← recursive formula
1 - yes 100 and 75 are both collinear both are the same line.
2 - She can conclude that there both similar because the both go the same direction and both same shape.
3 - AB would equal 150 because the other one was 100 and the other angle was 25 down. So AB would equal 150.
Hope I helped
Answer:
102 in^3.
Step-by-step explanation:
Volume of the ice cream container = 10*14*12 = 1680 in^3.
Volume of the sherbet container = 11*18^9 = 1782 in^3.
So the answer is 1782 - 1680
= 102 in^3.
Gender | Games| Music | Movies/TV |
Female | 4 | 20 | 16
Male | 15 | 12 | 13
Total | 19 | 32 | 29
Something like that :)