Answer:
60° and 67°
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
(49)
17x + 8 is an exterior angle of the triangle, thus
17x + 8 = 50 + 10x ( subtract 10x from both sides )
7x + 8 = 50 ( subtract 8 from both sides )
7x = 42 ( divide both sides by 7 )
x = 6
Thus
∠ C = 10x = 10(6) = 60°
(50)
99° is an exterior angle of the triangle, thus
2x + 10 + 6x + 1 = 99 , that is
8x + 11 = 99 ( subtract 11 from both sides )
8x = 88 ( divide both sides by 8 )
x = 11
Thus
∠ T = 6x + 1 = 6(11) + 1 = 66 + 1 = 67°
Answer:
What are the questions?
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Correct me if Im wrong
Step-by-step explanation:
1) The first term is -1352, and the common difference is 18. So the 87th term is:
a = -1352 + 18 (87 − 1)
a = 196
2) 1/64 + 1/16 + 1/4 + 1 + 4
This is a geometric series, where the first term is 1/64 and the common ratio is 4.
∑⁵ᵢ₌₁ 1/64 (4)ⁱ⁻¹
Since 1/64 = 4⁻³:
∑⁵ᵢ₌₁ 4⁻³ (4)ⁱ⁻¹
∑⁵ᵢ₌₁ (4)ⁱ⁻⁴
3) The first term is -2100, and the common ratio is -0.1, so the 7th term is:
a = -2100 (-0.1)⁷⁻¹
a = -0.0021
4) The first term is 48, and the fifth term is 243/16, so the common ratio is:
243/16 = 48 r⁵⁻¹
81/256 = r⁴
r = 3/4
So the sequence is:
48, 36, 27, 81/4, 243/16