Answer:
Arc DB = 146
x = 5
Step-by-step explanation:
Remark
The relationship between the large arc, the small arc and the intersecting angle is
1/2 (large arc - small arc) = intersecting angle.
Givens
Large arc = 25x + 21
Small arc = 96
5x
Solution
1/2*(25x + 21 - 96) = 5x*2 Multiply both sides by 2
25x + 21 - 96 = 10 x Combine
25x - 75 = 10x Subtract 25x from both sides
-75 = 10x - 25x
-15x = -75
x = 5
DB = 25x + 21
DB = 25*5 + 21
DB = 125 + 21
DB = 146
Tell me if this is not in the choices.
It will be 20*21 based on the pattern in the chart
Gallon he uses to and from work = (2 / 3) of 12
12 * (2 / 3)
= 8 ----- he uses 8 gallons to and from work
+ 2 additinal for errands
therefore gallons for work + gallons for errand = *8 + 2
= 10
your answer is 10
