Answer:
angle JKL is 106
Step-by-step explanation:
an isosceles triangle means two sides are the same and the bottom two angles are the same length. So you would equal the two equations and solve it to get x. Then replace one of the equation's x with the number you got, which would be 5, and solve that. Since both bottom angle are the same, the other angle would be the same degree, 37*. A triangle is 180* total, so subtract that by two 37's and you'll get the answer.
First find the slope of the first line
L1
m = ( y2-y1)/(x2-x1)
m = ( 1-2)/(3-1)
= -1/2
Now find the slope of the second line
L2
m= ( y2-y1)/(x2-x1)
= ( 0 - -1)/(2 -0)
= (0+1)/(2-0)
= 1/2
Parallel lines have the same slope
These lines do not have the same slope, they are different by a negative sign.
These lines are not parallel.
So you would have to set up a equation to find the length and width. The equation would be w+(w+2)=16
that simplifies to 2w+2=16
2w=14
w=7
the width is 7
the length is 9
Answer:

And then the maximum occurs when
, and that is only satisfied if and only if:

Step-by-step explanation:
For this case we have a random sample
where
where
is fixed. And we want to show that the maximum likehood estimator for
.
The first step is obtain the probability distribution function for the random variable X. For this case each
have the following density function:

The likehood function is given by:

Assuming independence between the random sample, and replacing the density function we have this:

Taking the natural log on btoh sides we got:

Now if we take the derivate respect
we will see this:

And then the maximum occurs when
, and that is only satisfied if and only if:
