In the given diagram, the value of AC is 24. The correct option is B. 24
<h3>Properties of rectangle </h3>
From the question, we are to determine the value of AC
From one of the properties of a rectangle, we have that
The diagonals of a rectangle are equal and bisect each other.
Then, in the given diagram
AC = DB
Thus,
3x - 6 + 3x - 6 = 2x + 2x
6x -12 = 4x
6x - 4x = 12
2x = 12
x = 12/2
x = 6
In the diagram,
AC = 3x - 6 + 3x - 6
AC = 3(6) -6 + 3(6) - 6
AC = 18 - 6 + 18 - 6
AC = 24
Hence, the value of AC is 24. The correct option is B. 24
Learn more on the Properties of a rectangle here: brainly.com/question/23008020
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Answer: x is 20
Step-by-step explanation:
This is ratio
a : c = b : x and d : unknown
a : c = 9 : 12 = 3 : 4 which is 9/12
b : x = 15 : x which is 15 / x
So the proportion will be :
3/4 = 15/x
So Cross multiplying
3x = 90
Divide both side by 3
x = 90/3
x = 20
I would have to say -7(1/8)x-4/3=20.
The first and the second one both result in
-23 5/7
The last one results in -24 8/21
but the third one is -22 3/8.
So your answer is either the third of the last one. I assumed the third because, it is lower than all others and the first two are closer to 24 than they are to 22. It’s your choice on how to judge it.
commutative for addition
<span>22+(m+8)=(m+8)+22</span> then associative
<span>(m+8)+22=m+(8+22)</span>
<span>=m+30</span>
The picture in the attached figure
we know that
RS=ST----------------> because is a square base
so
QS is the diagonal of the square base
applying the Pythagoras Theorem
QS²=RS²+ST²------> 6²+6²-----> QS²=72------> QS=√72----> QS=6√2 units
the answer isQS=6√2 units
