Answer:
24.09302325 is your answer
Answer:
CD = 10
Step-by-step explanation:
Answer:
Part 1) 
Part 2) 
Step-by-step explanation:
Part 1) what is the measure of angle AFE
we know that
The measure of the interior angle is the semisum of the arches that comprise it and its opposite.
<u>Note:</u> In this problem the correct measure of arc EA is 40 degrees (see the picture)
so

substitute the given values

Part 2) what is the measure of angle EFB?
we know that
---> by supplementary angles (form a linear pair)
so
substitute the given value


Answer:
54 years
Step-by-step explanation:
Joyce age = x
Alex age = y
3x = 2y - - - (1)
y - 9 = 2(x - 9)
y - 9 = 2x - 18
-9 + 18 = 2x - y
9 = 2x - y
y = 2x - 9 - - (2)
3x = 2y
3x = 2(2x - 9)
3x = 4x - 18
18 = 4x - 3x
18 = x
Hence,
Mrs stone is 3 * 18 = 54 years
Answer:
2 < x
Step-by-step explanation:
7-2(x + 2) <-4 - 3(1 - x)
Distribute
7 - 2x-4 < -4 -3 +3x
Combine like terms
3 -2x < -7+3x
Add 2x to each side
3 -2x+2x< -7+3x+2x
3 < -7+5x
Add 7 to each side
3+7 < -7+7+5x
10 < 5x
Divide each side by 5
10/ 5 < 5x/5
2 < x