Answer:
see explanation
Step-by-step explanation:
the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
∠ 4 , ∠ 5 , ∠ 6 are exterior angles of the triangle
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(14)
∠ 1 and ∠ 4 are adjacent angles and sum to 180° , then
∠ 1 = 180° - 58° = 122°
∠ 2 + ∠ 3 = ∠ 4
∠ 2 + 32° = 58° ( subtract 32° from both sides )
∠ 2 = 26°
∠ 5 = ∠ 1 + ∠ 3 = 122° + 32° = 154°
∠ 6 = ∠ 1 + ∠ 2 = 122° + 26° = 148°
(15)
∠ 4 = ∠ 2 + ∠ 3 = 11° + 143° = 154°
∠ 1 = 180° - ∠ 4 = 180° - 154° = 26°
∠ 5 = ∠ 1 + ∠ 3 = 26° + 143° = 169°
∠ 6 = ∠ 1 + ∠ 2 = 26° + 11° = 37°
Answer:
x = π/4.
Step-by-step explanation:
3sin(2x) = 2sin(2x) + 1
3sin(2x) - 2sin(2x) = 1
1sin(2x) = 1
sin(2x) = 1
When a variable n = π/2, sin(π/2) = 1 [refer to the unit circle].
2x = π/2
x = π/4.
Hope this helps!
Answer:
$919.98
Step-by-step explanation:
To solve using a financial calculator do
N=8
I/Y=10
PMT=85
FV=1000
CMPT PV get 919.98
To do by hand find the present value of the interst payments
85*(1-(1/1.1)^8)
which is 453.4687
Find the present value of the final ballon payment
1000*(1/1.1)^8
which is 466.507
take the sum
466.507+453.4678= 919.98
The exact form of that is x=5 cube root of 65
Answer:
The slope would be rise over run so you go from point A and rise 4 then go over 8
So 4/8, then to simplify this it would be 1/2, so your slope is 1/2
Step-by-step explanation:
