Short Answer: 150
Remark
You have to use two facts.
1. The central angle = 2 * the angle at B
2. The central angle = the arc angle.
Given
angle at B = 75 degrees.
Calculate the central angle
Central angle = 2 * angle at B
Central angle = 2 * 75
Central angle = 150
Conclusion
The arc angle = Central angle
The arc angle = 150 degrees.
Greetings ! Your Answer Is Below.
Answer;
1. m = 16
2. x = -z + 34 or z = -x + 34
3. p = 49
Step-by-step explanation;
1. m + 13 - 13 = 29 - 13 | Subtract 13 from both sides ( m = 16 )
2. - z + 34 | Add -z to both of the sides ( x = - z + 34 )
Or - x + 34 | Add -x to both of the sides ( z = - x + 34 )
3. 136 - 87 = 49 | Subtract 87 from both sides ( p = 49 )
[ Hope This Helped ! ]
Answer:
1. 
2. 
Step-by-step explanation:
1. You know that the average mass of an onion is 115 grams and Bill needs 4.0 pounds.
Then, since 
, we can make the following conversion:
Then, the number of onions Bill needs is:
≈
2. Since 
, we can make the following conversion:
Knowing that all the potatoes sold today at the store bring in $1,420 and 4.98 kilograms of potatoes is $1.75, we can calculate the amount of kilograms the grocery shoppers bought:
3x + 2y = 10 .....multiply by -2
2x + 3y = 15/2...multiply by 3
------------------
-6x - 4y = -20 (result of multiplying by -2)
6x + 9y = 22.5 (result of multiplying by 3)
-----------------add
5y = 2.5
y = 2.5/5
y = 1/2
3x + 2y = 10
3x + 2(1/2) = 10
3x + 1 = 10
3x = 10 - 1
3x = 9
x = 9/3
x = 3
solution is (3,-1/2)
