Answer:

Step-by-step explanation:
step 1
Find the area of the circle with a diameter of 9 units
we know that
The area of a circle is equal to

we have
----> the radius is half the diameter
substitute


step 2
Find the area of a square with a side length of 8 units
we know that
The area of the square is

where
b is the length side of the square
we have

substitute

step 3
Equate the areas

solve for 

Answer:
There are 180 degress in a triangle. so minus the angles given from 180 to find X.
X = 180 - 106 - 30
X = 44 degrees
Answer:
consecutive interior angles
Step-by-step explanation:
inside of the angle and consecutive to each other
Answer:
-8
Step-by-step explanation:
First, plug in the numbers to the equation:

Any non-zero expression raised to the power of 0 equals 1:

Multiply the numbers:
-8
Hope this helped!
Answer:
Options (1), (3), (5) and (6)
Step-by-step explanation:
Option (1)
Both the circles M and H are same in shape. Therefore, both are similar.
True
Option (2)
MH = MS = [Radii of a circle]
MH = MO + OH
MH = ME + OH [Since, MO = ME]
MH = 10 + 25 = 35 cm
Area of circle M = πr²
= π(35)²
= 1225π
Area of circle H = π(25)²
= 625π

Area of M = 1.96(Area of H)
False
Option 3
OH + MS = 25 + 35
= 60 cm
True
Option 4
m∠HMS = 90°
Can't be figured out with the given informations
False
Option 5
Diameter of circle H = 2(radius)
= 2(25)
= 50 cm
True
Option 6
Circumference of circle S = 2πr
= 2π(ES)
Circumference of circle M = 2π(MS)
Ratio of the circumference of circle S and M = 
= 
True.
Options (1), (3), (5) and (6) are correct.