Answer:
<B = 3(14) + 6 = 48 degrees
Step-by-step explanation:
4x+6+3x+6+5x = 180 degrees
12x + 12 = 180
12x = 180 - 12
x = 168/12
x = 14
Answer:
If x + 9 = 5 then x =-
4
If x + 9 = -5 then x =-14
Step-by-step explanation:
x+9 =5
Subtract 9 from each side
x+9-9 = 5-9
x = -4
x+9 = -5
Subtract 9 from each side
x+9-9=-5-9
x = -14
First, we need to isolate the variable x.
To isolate x, we simply need to multiply both sides by 9, which would result in x = 9
All it did was it counter clock wise rotated to make the shape look like it’s a mirror
By applying Pythagorean theorem, we have proven that the point (-1/2, -√3/2) lies on the unit circle.
<h3>How to prove this point lies on the unit circle?</h3>
In Trigonometry, an angle with a magnitude of -120° is found in the third quarter and as such, both x and y would be negative. Also, we would calculate the reference angle for θ in third quarter as follows:
Reference angle = 180 - θ
Reference angle = 180 - 120
Reference angle = 60°.
For the coordinates, we have:
sin(-120) = -sin(60) = -1/2.
cos(-120) = -cos(60) = -√3/2.
By applying Pythagorean theorem, we have:
z² = x² + y²
z = √((-1/2)² + (-√3/2)²)
z = √(1/4 + 3/4)
z = √1
z = 1.
Read more on unit circle here: brainly.com/question/9797740
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