Answer:

Step-by-step explanation:
Given


Required
Determine LN
Since LM is a bisector, then we have:
(See attachment for illustration)

Collect Like Terms


Solve for w


LN is calculated as thus:

Substitute 4 for w



sin45=5/x so x is 5/(sin45)
y is 5/(tan45)
question 5 then you just go x= (9sqrt(2)/2)/sin45
i don’t have a calculator rn so just plug it into it
Answer:
12.
Step-by-step explanation:
First arrange in ascending order:
2 5 8 10 14 17 21
The median is 10.
the lower quartile is the middle number of 2 5 and 8 which is 5.
Similarly the upper quartile is 17.
IQR = 17 - 5 = 12.
Answer:
See explanation
Step-by-step explanation:
Assuming the given polynomial is

We then rewrite in decreasing powers of u, to get:

The leading term is

The leading coefficient is the coefficient of the leading term.
The leading coefficient is -7.
Answer:
x = 52 degrees.
Step-by-step explanation:
Here we make use of the fact that the interior angles of any triangle add up to 180 degrees. Before this we must find an algebraic expression for interior angle RQS:
Since angle RQS + x + 72 = 180 degrees, angle RQS is equal to 180 -72 - x, or 108 - x.
The sum of the three interior angles is then
108 - x + 90 + 34, or 232 - x degrees, and this sum must equal 180 degrees.
Then 232 - x = 180. Solving for x, we get x = 52 degrees.