m_6 + m_8 = 180º because they form a straight line.
So, (2x-5) + (x+5) = 180
3x = 180
x = 60
So, m_115º (2•60 - 5 = 115)
Also, because the two lines are parallel m_6 = m_3 by alternate interior angles.
So, m_3 = 115º
Answer:
9,18, and 36
Step-by-step explanation:
9*4=36 and 9*1=9
18*2=36 and 9*2=18
36*1=36 and 9*4=36
We assume you want to find the inverse transform of s/(s^2 +3s -4). This can be written in partial fraction form as
(4/5)/(s+4) + (1/5)/(s-1)
which can be found in a table of transforms to be the transform of
(4/5)e^(-4t) + (1/5)e^t
_____
There are a number of ways to determine the partial fractions. They all start with factoring the denominator.
s^2 +3x -4 = (s+4)(s-1)
After that, you can postulate the final form and determine the values of the coefficients that make it so. For example:
A/(s+4) + B/(s-1) = ((A+B)s + (4B-A))/(s^2 +3x -4)
This gives rise to two equations:
(A+B) = 1
(4B-A) = 0
11/25
88/1000
Divide each by 8
11. Times 8
125 times 8
