ANSWER:
x = -3
Step-by-step explanation:
55+54+x+74=180
109+x+74=180
183 + x = 180
x = -3
Answer:
1: L = 5
W = 7
2: A = lw
3: 35
4: 18
5: You have to add them up because it is 1 shape broken up into different parts.
6: 53
A turning point occurs when the velocity is equal to zero, but the acceleration is not equal to zero.
t(x)=(x+5)^3+7
dt/dx=3(x+5)^2
d2t/dx2=6(x-5)
dt/dx=0 only when x=-5
However, since d2t/dx2(-5)=0, this point is an inflection point, not a turning point.
So there is no turning point for this function.
Now in this problem, it is even easier than the above to show that there is no turning point. A turning point by definition is when the derivative or velocity changes sign. Since in this case v=3(x+5)^2, for any value of x, v≥0, and thus never becomes negative, so it never changes from a positive to negative velocity because velocity in this instance is a squared function.
Answer:the measure of angle 6 is 60 degrees.
Step-by-step explanation:
The two horizontal lines ate straight and parallel lines. It is established that the sum of the angles on a straight line is 180 degrees. Looking at the given figure, angle 5 and angle 6 are on a straight line. Therefore
Angle 5 + angle 6 = 180 degrees. Therefore,If angle 5 is 120 degrees,then
Angle 6 + 120 = 180
Angle 6 = 180 - 120 = 60 degrees.