Answer:
Acute angle = 30°
Obtuse angle = 150°
Step-by-step explanation:
Method 1:
Let x represent the measurement of the obtuse angle
Obtuse angle = x
Acute angle = ⅕ of x = x/5
Thus:
x + x/5 = 180° (angels on a straight line)
Solve for x
(5x + x)/5 = 180
Multiply both sides by 5
5x + x = 180 × 5
6x = 900
x = 900/6
x = 150
Obtuse angle = 150°
Acute angle = x/5 = 150/5 = 30°
Method 2:
Since acute angle = ⅕ of the obtuse angle, therefore,
Obtuse angle = 5*acute angle
Let acute angle = x
Obtuse angle = 5x
Equation:
5x + x = 180° (angles on a straight line)
Solve for x
6x = 180
x = 180/6
x = 30
Acute angle = x = 30°
Obtuse angle = 5x = 5*30 = 150°
Answer:
6 - 3p
Step-by-step explanation:
The word "product" indicates to multiply 3 and p, and "subtracted from" tells us to use subtraction.
Answer:
15.50h + 50 > 400
Step-by-step explanation:
Given;
Weekly salary = $50 per week
Additional pay = $15.50 per hour
The variable h represent the number of hours worked per week
The total amount earn per week is;
Weekly salary + total additional pay per week
50 + 15.50h
To earn more than $400 this week, the total amount earned in a week must be greater than 400;
15.50h + 50 > 400
Solving the equation we have;
15.50h > 400-50
h > (400-50)/15.50
h > 22.58 hours per week.
8/52 or 2/13
Because there is 1 queen and 1 jack in each of the 4 suites. so 2x4=8. Out of 52 cards, then simplify.
