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:
30 m
Step-by-step explanation:
You simply add the lengths of all the sides. 3 m is not needed for this.
Answer:
x is 3
Step-by-step explanation:
6 (x + 1) = 24
6 (x) + 6(1) = 24
6x + 6 = 24
Subtract 6 on both sides
6x + 6 - 6 = 24 - 6
6x + 0 = 18
6x = 18
x = 18/6
x = 3
$91/ 7 = $13 per dog
$117/$13 = 9 dogs
He washed 9 dogs
Answer:

Step-by-step explanation:
Given :
Two points are given in graph (-6, -4) and {7, 5).
The point-slope form of the equation of a straight line is:
------------(1)
Let
and 
The slope of the line 
Put all known value in above equation.



The slope of the line 
We know m, and also know that
, so we put these value in equation 1.

Therefore, the equation of the line is
.