So to start off here is the question being asked:
<span>81+<span>7x</span></span>=<span>81
</span>The first thing we are going to do is s<span>implify both sides of the equation:
</span><span><span>7x</span>+81</span>=<span>81
</span>Second thing to do is s<span>ubtract 81 from both sides so:
</span><span><span><span>7x</span>+81</span>−81</span>=<span>81−<span>81
</span></span>The final thing to do is d<span>ivide both sides by 7:
</span><span><span>7x/</span>7</span>=<span>0/<span>7
The final answer is:
x=0
I hope this helps! :)</span></span>
Answer:
C
Step-by-step explanation:
To make it easy let's start by organizing our information :
- AC=12 AND BD=8
- ABCD is a rhombus
- K and L are the midpoints of sides AD and CD
- we notice that the rhombus ABCD is divided into four right triangles
What do you think of when you hear a right triangle ?
- The pythagorian theorem !
AC and BD are khown so let's focus on them .
If we concentrated we can notice that AB and BD are cossing each other in the midpoints . why ?
Simply because they are the diagonals of a rhombus .
ow let's apply the pythagorian theorem :
- (AC/2)² + (BD/2)² = BC²
- 6²+4²=52
- BC²= 52⇒
=BC
Now we khow that : AB=BC=CD=AD=
This isn't enough . Let's try to figure out a way to calculate the length of KL wich is the base of the triangle
- KL is parallel to AC
- k is the midpoint of AD and L of DC
I smell something . yes! Thales theorem
- KL/AC=DL/DC=DK/AD WE4LL TAKE OLY ONE
- KL/12=
/2*
- KL/12=1/2⇒ KL=6
Now we have the length of the base kl
Now the big boss the height :
- notice that you khow the length of KL
- BD crosses kl from its midpoint and DL =
/2
What I want to do is to apply the pythgorian thaorem to khow the lenght of that small part that is not a part of the height of the triangle . I will call it D
- DL²=(KL/2)²+D²
- 52/4= 9+ D²
- D² = 52/4-9 +4 SO D=2
now the height of the trigle is H= BD-D= 8-2=6
NOw the area of the triangle is :
- A=(KL*H)/2 ⇒ A= (6*6)/2=18
THE ANSWER IS 18 SQ.UN
An operation that is done to a value and it stays the same, it is called the "identity property".
Some quick examples:
Adding any number with zero will result in the same number.
Multiplying any number with one will result in the same number.
Hope this helps!
Answer:
Max is 9 ft above Brett
Step-by-step explanation:
Brett is 34 feet below the surface = -34
Max is 25 feet below the surface = -25
Subtract the heights
-25 - -34
-25 +34
9
Max is 9 ft above Brett