If the interest earned on an account after 7 years at 6% is $1785 ,what is the initial value
1 answer:
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Answer:
see explanation
Step-by-step explanation:
Using the tangent ratio in the right triangle
tan A = =
=
, then
∠ A = (
) ≈ 41° ( to the nearest degree )
The sum of the angles in the triangle = 180° , then
∠ B + 41° + 90° = 180°
∠ B + 131° = 180° ( subtract 131° from both sides )
∠ B = 49°
Using Pythagoras' identity in the right triangle
AB² = BC² + AC² = 7² + 8² = 49 + 64 = 113 ( take square root of both sides )
AB = ≈ 10.6 ( to the nearest tenth )
Answer:
The value of an exterior angle is the sum of the two interior angles not adjacent to it so
a:
x = 64 + 45 =
b:
3x + 6 = 153 so
3x = 147 so
x =