Answer:
A. segment PS ≅ segment QR
Step-by-step explanation:
Given that the quadrilateral PQRS is a rectangle then;
- The diagonals are PR and SQ
- Point of intersection of diagonals is T
- Segment PS≅ Segment QR
- ∠PSQ≅ ∠SQR
- segment SR≅ segment PQ
The simplified expression of
is 
<h3>How to simplify the expression?</h3>
The expression is given as:

Expressions raise to power 0 is 1.
So, we have:

Apply the law of indices to expression with common base

Evaluate the sum and difference

Remove the bracket

Hence, the simplified expression of
is 
Read more about exponents at:
brainly.com/question/847241
#SPJ1
Answer:
The number is 12.
Step-by-step explanation:
Given: 
We need to find a number multiply to each term to get rid of fraction.
We will find LCD of denominator.
First we see the numbers at denominator
Denominators are 4,3,2
Now, we will find the LCD of 2,3, and 4
Factor of 2: 2x1
Factor of 3: 3x1
Factor of 4: 2x2x1
LCD = 2x2x3 = 12
If we multiply by 12 to each term to eliminate the fraction.
Simplest equation:


Hence, The number is 12.
9514 1404 393
Answer:
27 cm³
Step-by-step explanation:
The surface area of a cube is ...
SA = 6s²
Then the edge length is ...
54 cm² = 6s² . . . . . please note that cm³ is not the appropriate unit for area
9 cm² = s² . . . . . .divide by 6
3 cm = s . . . . . . . take the square root
The volume of a cube is ...
V = s³
V = (3 cm)³ = 27 cm³
The volume of the cube is 27 cm³.