Answer:

The above expression shows that ratios of the areas of the circles are equal to the square of the ratio of their radii.
Step-by-step explanation:
Radius of first circle
= 9 inches
Area of first circle = 
Area of first circle = 9 × 9 × π = 81 π
Now, since the radius is multiplied by 2/3 for from a new circle.
∴ Radius of the second circle = 
Area of second circle = 
Area of second circle = 6 × 6 × π = 36 π
Now,


∵
= 9 inches and
= 6 inches
The above expression shows that ratios of the areas of the circles are equal to the square of the ratio of their radii. i.e., 
a common factor of 5, 15 and 25 is 1 and 5
These are obviously functions that increase. They go from top to bottom from right to left.
I am joyous to assist you anytime.
The measure of <u>angle b</u> is 112° and the measure of <u>angle c</u> is 68°
<h3>Calculating the measures of angles </h3>
From the question, we are to determine the measures of the missing angles
From the diagram,
b = 112° (<em>Vertically opposite angles</em>)
∴ b = 112°
Also,
112° + c = 180° (<em>Sum of angles on a straight line</em>)
c = 180°- 122°
∴ c = 68°
Hence, the measure of <u>angle b</u> is 112° and the measure of <u>angle c</u> is 68°
Learn more on Calculating the measures of angles here: brainly.com/question/12274210
#SPJ1
Answer:
x = 13, y = 26, z = 5
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180° , then
2x + 110 + 44 = 180
2x + 154 = 180 ( subtract 154 from both sides )
2x = 26 ( divide both sides by 2 )
x = 13
------------------------
2x and y are alternate angles and congruent , so
y = 2x = 2(13) = 26
--------------------------------
The opposite sides of a parallelogram are equal
3z - 1 = 14 ( add 1 to both sides )
3z = 15 ( divide both sides by 3 )
z = 5