A, B, and C are correct. My bad.
Answer:
y = 6,x = 2
Step-by-step explanation:
Answer:the number of advance tickets sold is 35
the number of same day tickets sold is 40
Step-by-step explanation:
Let x represent the number of advance tickets sold.
Let y represent the number of same day tickets sold.
For one performance, there were 75 tickets sold in all. This means that
x + y = 75
Advance tickets cost $20 and same-day tickets cost $25. The total amount paid for them was $1700 both tickets. This means that
20x + 25y = 1700 - - - - - - - - - - - 1
Substituting x = 75 - y into equation 1, it becomes
20(75 - y) + 25y = 1700
1500 - 20y + 25y = 1700
- 20y + 25y = 1700 - 1500
5y = 200
y = 200/5 = 40
substituting y = 40 into x = 75 - y, it becomes
x = 75 - 40
x = 35
Answer:
∠ ADC = 53°
Step-by-step explanation:
Note the angle between the radius and the tangent is 90°
The sum of the angles in quadrilateral AOCB = 360°, thus
∠ AOC = 360° - (90 + 90 + 74 )° = 360° - 254° = 106°
∠ AOC is twice the angle on the circumference ∠ ADC, thus
∠ ADC = 106° ÷ 2 = 53°
Answer:
2x+30 = 90
Step-by-step explanation:
The two angles are complementary so they add to 90 degrees
2x+30 = 90
