Since the angles are supplementary, we know that they must add up to equal 180 degrees by the definition of supplementary angles
set the sum of the 2 angles to equal 180 and solve for x
6x + 48 + 60 = 180
6x + 108 = 180
6x = 72
x = 12
you could check to make sure that your x value is correct by plugging it back into the equation
6(12) + 48 + 60 = 180
72 + 48 + 60 = 180
120 + 60 = 180
180= 180
hope this helped!
<span>First, use the equation of the trend line to find the IQ that is expected by the GPA. Next, use the other equation of the trend line to find the SAT that is predicted by the IQ.</span>
The answer is a. Because because congruent angles are equal. if they are equal and start at the center of a circle this means that they can only travel the same distance before hitting border of circle. this would make their arcs the same
Hi there!
a. Find the displacement by plugging in the values of the interval:
f(2) - f(0) = 0 - 2 = -2 meters.
Average velocity is the slope, thus:
The average velocity for the interval is -1 m/s.
b. To find the speed at the endpoints, we must take the derivative to get the velocity equation:
f(t) = t² - 3t +2
f'(t) = 2t - 3, at t = 0, speed = |-3| = 3 m/s. At t = 2, speed = 2(2) - 3 = 1 m/s.
Acceleration is the second derivative, thus:
f''(t) = 2. The acceleration is 2 m/s² for both endpoints.
c. When the body changes direction, the first derivative changes signs. Thus:
0 = 2t - 3
3 = 2t, t = 1.5 sec. This is where the body changes direction.
Answer:
Product (multiplication) of 2a+3b-c and 2a+3b-c is −2ac+2a+6b−c.
Explanation:
2a+3b−c(2)a+3b−c
= 2a+3b+−2ac+3b+−c
Combine Like Terms:
= 2a+3b+−2ac+3b+−c
= (−2ac)+(2a)+(3b+3b)+(−c)
= −2ac+2a+6b+−c
