To solve this problem, we need to know that the adjacent interior angles (2 and 5, or 3 and 4) between two parallel lines are supplementary.
This means that ∠2+∠5 = 180 °
which means
x+50 + 4x+30 = 180
collect similar terms and solve
5x + 80 = 180
5x = 180-80 = 100
x=20 °
∠2 = x+50 = 20+50 = 70 °
But ∠ 1 = ∠ 2 (vertical angles)
therefore
∠ 1 = 70 °
Answer:
The correct option is;
f(x) = 3·sin x/8·π + 2
Step-by-step explanation:
The given parameters for the sinusoidal function are;
Amplitude of oscillation = 3
Frequency of oscillation = 1/8·π
Midline of oscillation= 2
The general form of sinusoidal equation is y = A·sin(B(x - C)) + D
Where;
A = The amplitude
B = The frequency
C = The horizontal shift
D = The midline or vertical shift
Substituting the given values into the general form of sinusoidal equation, we have;
f(x) = y = 3·sin(1/8·π(x - 0)) + 2 = 3·sin(x/8·π) + 2
Which gives;
f(x) = 3·sin(x/8·π) + 2.
Step-by-step explanation:
A circle has 360 degrees so 360/18= 20
For the 2nd question: 360/5=72
The pythagorean theorem states that the sum of the squares of two legs of a right triangle is equivalent to the hypotenuse.
So:
35^2 + b^2 = 40^2
1225 + b^2 = 1600
b^2 = 375
b = 
b = 19.3649
<u>The missing side's length rounded to the nearest tenth is Option C, 19.4</u>
Answer:
9.6
Step-by-step explanation:
This is a four side figure which is most likely to be a trapezium.So AD is the hypotenuse,AB is side (a),BC is the height and CD is side (b).
