The measure of angle <em>x </em> is 31 degrees.
See the attached drawing.
Start at the bottom, at the given 59° angle, and work your way up in the direction toward the angle <em>x </em>.
The answer is the third option.
The explanation is shown below:
1. You must keep on mind the information given in the exercise:
- She bough 3 pounds of coffee.
- She bought 2 pounds of chocolate.
- She spent a total of $24.
2. Therefore, you can call the price per pound of coffee and the price per pound of chocolate .
3. When you multiply 3 pounds by the price per pound of coffee, you obtain the amount of money she spent for 3 pounds. When you multiply 2 pounds by the price per pound of chocolate, you obtain the amount of money she spent for 2 pounds. If you add both amounts, you obtain the total spent, which was $24.
4. Therefore, you can express this as following: