Answer:
1) 5
2) 5
Step-by-step explanation:
Data provided in the question:
(3²⁷)(5¹⁰)(z) = (5⁸)(9¹⁴)(
)
Now,
on simplifying the above equation
⇒ (3²⁷)(5¹⁰)(z) = (5⁸)((3²)¹⁴)(
)
or
⇒ (3²⁷)(5¹⁰)(z) = (5⁸)(3²⁸)(
)
or
⇒ 
or
⇒
or
⇒
we can say
x = 5, y = 2 and, z = 3
Now,
(1) y is prime
since, 2 is a prime number,
we can have
x = 5
2) x is prime
since 5 is also a prime number
therefore,
x = 5
The area of the rectangle that has a perimeter of 44 in is calculated as: 117 in².
<h3>What is the Area and Perimeter of a Rectangle?</h3>
Area = length × width
Perimeter = 2(length + width).
Given the following:
- Width = w in.
- Length = w + 4 in
- Perimeter of the rectangle = 44 in.
Therefore:
2(w + 4 + w) = 44
Solve for w
2(2w + 4) = 44
4w + 8 = 44
4w = 44 - 8
4w = 36
w = 9
Width of the rectangle = w = 9 in.
Length = w + 4 = 9 + 4 = 13 in.
Area of the rectangle = 13 × 9 = 117 in².
Learn more about the area of rectangle on:
brainly.com/question/2607596
#SPJ1
< and > means greater than or less than**
Anything that is closer to the positive side of the number line is considered greater.
So,
All are true.