Answer:
Part A: -3/7
Part B: y = -2
Step-by-step explanation:
Parallel lines have the same slope. Find the slope of CD. Then substitute it to find the value needed for AB.
The slope formula is
Use the same formula and solve for y.
Answer:
The area of the sector is 84.8 in.² to the nearest tenth
Step-by-step explanation:
∵ the clock is a circle
∴ The measure of angles between each two hours = 360° ÷ 12 = 30°
∵ At 8 o'clock the hour hand pointed on 8 and the minute hand pointed on 12
∴ There are 4 angles between the two hands
∴ The central angle subtended by the arc = 4 × 30° = 120°
∵ The Area of the sector = 
where x is the central angle subtended by this arc
∴ Area sector = 
× π × (18/2)²
∴ Area sector = 
× π ×81 = 27π = 84.8 in² to the nearest tenth
Answer:
m= -7/5
Step-by-step explanation:
(x1,y1)=(3,4)
(x2,y2)=(8, -3)
Use the slope formula:
m = y2 - y1
x2 - x1
(-3-4)/ (8-3)
= -7/5
Answer:
a + b ≥ 40
a + 5 ≤ b
2.50a + 1.50b ≤ 105
Step-by-step explanation:
We are told she would like to have at least 40 cupcakes and cookies combined.
If a is number of cupcakes and b is number of cookies, then this inequality is;
a + b ≥ 40
Secondly, we are told she would like to have at most 5 more cupcakes than cookies.
Thus, the inequality is;
a + 5 ≤ b
Lastly, we are told that cupcakes sell for $2.50 and cookies for $1.50
Thus, the inequality is;
2.50a + 1.50b ≤ 105
Finally, the 3 inequalities are;
a + b ≥ 40
a + 5 ≤ b
2.50a + 1.50b ≤ 105
Answer:quit school
Step-by-step explanation:leave your house and never return
