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:
If 4 more kids came to the zoo with Liam and his two parents, and so did 4 more adults, the price they would pay would be:
5.3(5) + 10.7(6)
90.7
So, it would cost a total of $90.70 dollars for Liam, his two parents, four other friends, and four other parents, to come to the zoo.
Let me know if this helps!
Hi I am jazmin...that's what she said :)
Answer:
Part 1) m∠EOD=20°
Part 2) m∠AOD=80°
Step-by-step explanation:
Part 1) Find the measure of angle EOD
we know that °
m∠EOD=m∠EOX-m∠DOX
we have
Observing the figure
m∠EOX=140°
m∠DOX=120°
substitute
m∠EOD=140°-120°=20°
Part 2) Find the measure of angle AOD
we know that °
m∠AOD=m∠DOX-m∠AOX
we have
Observing the figure
m∠AOX=40°
m∠DOX=120°
substitute
m∠AOD=120°-40°=80°
Answer:
11
Step-by-step explanation:
9+9+11+15 = 44
44/4 = 11!