To solve this problem you must apply the proccedure shown below:
1- You have that the laddder makes an angle of
with the ground and the top of the ladder reaches
.
2- Therefore, you have:

Where:

3-You must substitute values and solve for the lenght, as following:

Therefore, the answer is: 
Yes, we can prove that the given figure is a parallelogram.
From the given figure, we can see that the given quadrilateral opposite angles and congruent. And we know that if a quadrilateral has two opposite angles congruent, then the quadrilateral is a parallelogram.
Therefore, we can say that the given figure is a parallelogram.
From the given options, second option is correct.
Therefore, the correct option is:-
Yes, opposite angles are congruent.
Answer: 20
Step-by-step explanation: because 3+17=20
Rectangular implies the area to be length times height
let height=x
let width=2 more than the height or Length=2+x
Area=F(x)=(2+x)(x)=2x+x^2
f(x)=x^2+2x
****************To Answer your Additional question
You see the standard price is $100 for any mural, And also charges $40 per square foot.
So to show you the approach, Lets say that a mural of 1 square feet needs to be painted, then the charge will be $100 plus the $40 for every square feet, then it will be 100+40(1 square feet)=$140.
The problem asks for the charge of mural whose area is x, so lets do the same thing.
$100+40(x square feet)=100+40x and that is the function that gives the price of mural with an area of x.
so, g(x)=100+40x
Answer:
You were close; you don’t have to add 3x to the right side though.
We’re given 2y= -3x + 6
Step one: divide both sides by 2
y= (-3/2)x + 3