Answer:

Step-by-step explanation:
(Let the point where the altitude from
intersects
be called as point
.) First, let's find the area of parallelogram
. The area of a parallelogram is simply
, where
is the parallelogram's base and
is the parallelogram's height. If we let
and
be the base and height respectively, since we are already given their lengths, we know that the area of parallelogram
will be
.
Now, how does this information matter, you might ask? Well, we can take either
<em>or </em>
to be the base and either
or
to be the height. In this case, let's take the latter two options, as we are looking to find the length of
.
Therefore, we know that the area of parallelogram
can also be found by calculating
. Since we know the values of the area and
, we can write the following equation to solve for
:

(Substitute
and
into the equation)
(Divide both sides of the equation by
to get rid of
's coefficient)
(Simplify)
(Symmetric Property of Equality)
Hope this helps!
Answer:
x=47
Step-by-step explanation:
We can use the triangle bisector theorem
TK TV
----------- = -----------
YK YV
Substituting what we know
87.5 77
----------- = -----------
x-22 22
Using cross products
87.5 * 22 = 77 *(x-22)
Distribute
1925 =77x - 1694
Add 1694 to each side
1925 + 1694 =77x - 1694+1694
3619 = 77x
Divide by 77
3619/77 = 77x/77
47=x
Answer:
The sign would remain the same.
It would have the same value.
ED2021
Answer:
n= -32
Step-by-step explanation: