We know: the sum of the angles measures in a triangle is 180°.
Therefore we have the equation:
64° + 75° + α = 180°
139° + α = 180° <em> subtract 139° from both sides</em>
α = 41°
α and ∠2 are Supplementary Angles - they add up to 180°.
α + m∠2 = 180°
41° + m∠2 = 180° <em>subtract 41° from both sides</em>
<h3>m∠2 = 139°</h3>
Step-by-step explanation:
Use the first fundamental theorem of calculus.
∫₆¹⁰ f'(x) dx = f(10) − f(6) = 8 − 8 = 0
Answer:
x= -2, x= -10
Step-by-step explanation:
x^2 + 12x + 36 = 16
Began by setting this quadratic equation to 0. To do this, in this equation you must subtract.
x^2+12x+20=0
Next, we plug this into the quadratic formula, where a in this case is 1(there is nothing in front of x^2), b is equaled to 12(there is a 12 as the coeefficient of 12x), and c is equaled to 20.
The quadratic formula is as goes:
(-b+-(this means plus or minus)√b^2-4ac)/(2a)
After pluggin in and simplifying, the answer is x= -2 and x= -10
Answer:

Step-by-step explanation:



