Answer:
x = 8 units, measure of angle AFE = 60 degrees, measure of angle CFD = 60 degrees
Step-by-step explanation:
Finding x:
You know all three of the given measures add up to 180 because they are on the same side of the line. Write an equation and solve for x.
6x + 2 + 8x + 6 + 7x + 4 = 180
21x = 168 --> x = 8
Angle AFE:
Substitute the value of x in the given measure.
7x + 4 = 7*8 + 4 = 56 + 4 = 60
Measure of angle CFD:
Angle AFE is it's vertical angle, so their measures (60 degrees) are equal.
Answer: 35, 209, 171
Step-by-step explanation: hope i helped
<h3>
Answer: 41 cm^2</h3>
Explanation:
Form a horizontal line as shown below (see attached image). This forms 2 separate smaller rectangles
- The bottom rectangle has area of 4*8 = 32 cm^2
- The top rectangle has area of 3*3 = 9 cm^2
The total area is therefore 32+9 = 41 cm^2
You can say "square cm" or "sq cm" in place of the "cm^2".
Answer:

Step-by-step explanation:
Given
See attachment for circles
Required
Ratio of the outer sector to inner sector
The area of a sector is:
For the inner circle

The sector of the inner circle has the following area

For the whole circle

The sector of the outer sector has the following area

So, the ratio of the outer sector to the inner sector is:


Cancel out common factor

Express as fraction
