<h2>
Therefore the length of the living room = 24 ft</h2>
Step-by-step explanation:
Given that , Consuelo's living room is in the shape of rectangle and has an area of 360 square feet and the width of the living room is 
its length
Let ,the length of the living room is = x ft
Then width =
ft
Therefore the area of the living room =
According to problem,
⇔
⇔
⇔
⇔
⇔
Therefore the length of the living room = 24 ft
No, 2 of the 5x7 would actually take up. 10x14
Answer:
<h2>
</h2>
Step-by-step explanation:
Given,
Perpendicular ( p ) = 3√2
Base ( b ) = 2√3
Hypotenuse ( h ) = ?
Now, let's find the length of the hypotenuse:
Using Pythagoras theorem:
plug the values
To raise a product to a power, raise each factor to that power
Multiply the numbers
Add the numbers
Take the square root of both sides of the equation
Hope this helps...
Best regards!!
For the proof here kindly check the attachment.
We are given that
. Also, the transversal is shown. Let us take the first case, that of 
and 
. Please note that all other proofs will follow in a similar manner.
Let us begin, please have a nice look at the diagram. We will see that and 
are vertically opposite angles. We know that vertically opposite angles are congruent. Thus, and are congruent angles.
=
Now, we know that and are alternate interior angles. We also, know that alternate interior angles are equal too. Thus, we have:
=
From the above arguments it is clear that:
= = .
Thus, =
We have proven the first instance. Please note that all other instances can be proved in a similar fashion.
For example, for 
and 
we can take and 
as vertically opposite angles thus making = . Now, and are alternate interior angles and thus and are equal. Thus, we have and .
S=2LW+2LH+2WH
First, subtract 2LH from both sides
S-2LH=2LW+2LH-2LH+2WH
S-2LH=2LW+2WH
Separate out the W
S-2LH=W(2L+2H)
Divide by 2L+2H to get W alone
Hope this helps.
