Step-by-step explanation:
the value of x is 20 that's it good luck
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:
I know this is late, but for<em> future people</em>:
I believe the answer is <u>2b+3c</u>.
Step-by-step explanation:
I'm pretty sure all you have to do is combine like terms.
I'm also taking the test at the moment.
Answer:

or in slope y-intercept form :

Step-by-step explanation:
The easiest way of find the answer for this is to use what is called the "point-slope" form of a line, because you are in fact given the value of the slope (m) and also a point
it goes through:

In our case the equation becomes:

This can also be written in the slope-intercept form by solving for "y" and operating to remove the parenthesis:

Answer:
a) $14.37 sales tax
b) $25.13 left on gift card
Step-by-step explanation:
Purchases: 78.50 + 32.00 = 110.50
Sales tax: 13%:
1% of 110.50 = 1.1050
1.1050 x 13 = 14.365
rounded to 2 decimal places: $14.37
Total cost: 110.50 + 14.37 = $124.87
Gift card: 150.00 - 124.87 = 25.13