Angles of the parallelogram which is given in the problem are:α = 49° + 17 °= 66°
β = 180° - 66° = 114°
x - length of the longest side of the parallelogram;
Use the Sine Law:x / sin 49° = 20/ sin 17°
x / 0.7547 = 20 / 0.2924
0.2924 x = 15.094
x = 15.094 : .2924
x = 51.62 is the longest side of the parallelogram.
Answer:
The answer is
<h2>4m ( m + 3x) ( m - 2)</h2>
Step-by-step explanation:
4m³ + 12xm² - 8m² - 24xm
Factorize the GCF out
The GCF of 4 , 12 , 8 and 24 is 4
So we have
4( m³ + 3xm² - 2m² - 6xm)
Next factor m out
We have
4m( m² + 3xm - 2m - 6x)
Factorize the terms in the bracket
That's
4m[ m( m + 3x) - 2 ( m + 3x) ]
Next factor ( m + 3x) out
We have the final answer as
<h3>4m ( m + 3x) ( m - 2)</h3>
Hope this helps you
To solve the question we use the following analogy:
Given that the odds of winning is a/b, then the probability is b/(a+b)
hence to solve the question we proceed as follows:
a]
P(E)=11/36
odds against E=(36-11)/11
simplifying this gives us:
25/11
b] P(E)=31/36
odds against E=(36-31)/31
simplifying this we get:
5/31
hence odds in favor of E=31/5
c]P(E)=32/36
odds in favor of E will be:
36/(36-32)
simplifying the above we get:
36/4
=9/1
d]
P(E)=30/36
odds against E will be:
(36-30)/36
simplifying this we obtain:
6/36
=1/5
e] P(E)=13/36
odds against E will be:
(36-13)/13
simplifying this we obtain:
23/13
A line segment from the center of regular polygon to the midpoint of a side .
The angles add up to 180°
59+39=98
180-98=82°
