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:
D. 11.6 cm
Step-by-step explanation:
The missing length of the right angled triangle can be calculated using Pythagorean Theorem as shown below:
Where,
a = x cm
b = 11 cm
c = 16 cm
Thus:
(nearest tenth)
Answer:
1st choose: Rounded
2nd Choose: 36
3rd Choose: 6
Step-by-step explanation:
1st Choose: You want rounded numbers because it makes the problem simpler.
2nd Choose: 35 3/4 rounds to 36.
3rd Choose: 5 7/8 rounds to 6. 36 and 6 divides evenly.
Hopes this helps:)
You can again ignore the parenthesis because you are not distributing anything.
Your equation will look like this
3x + 11 + 6x
You can move each of these numbers around any way you like. You can combine the 3x and the 6x if you want, but they did not do that. You cannot take the x away and put it in front of the 11 though.
B. is your answer. All they did was move the 6x inside the parenthesis and the 11 out of the parenthesis.
Always remember, when you are adding things together, the parenthesis don't matter!
Answer:
B.
Step-by-step explanation:
