Answer:
Yes. Plug in your x and y into the first given equation and you'll see why.
(7) ≥ -(2)+1
7 ≥ -1 (7 is greater than or equal to -1)
...As well as the second equation.
(7) < 4(2)+2
7 < 8+2
7 < 10 (7 is less than 10)
Step-by-step explanation:
Answer:
The number of student increased each year by 986.58.
Step-by-step explanation:
Given : In 2002, there were 972 students enrolled at Oakview High School.
To find : The number of students has increased by 1.5% each year ?
Solution :
Using the exponential growth function,
Here, 
is the initial population
r=1.5%=0.015 is the rate
t=1 time
i.e. the number of student increased each year by 986.58.
Given there are 12 parts in the ratio, we would divide 48 by 12 which equals 4. So, the ratio would be 28:20.
Answer:
1. Angle Addition Postulate/Theorem
2. 90°
3. m<AOC; Vertical Angles
4. 90°; 110°
5. 20°
Step-by-step explanation:
1. m<DOB = m<DOE + m<BOE (Reason: Angle Addition Postulate/Theorem)
2. m<DOB = 90° + x (Reason: Substitution)
Note: m<DOE is a right angle.
3. m<DOB = m<AOC (Reasons: Vertical Angles)
4. 90° + x = 110° (Reasons: Substitution)
5. x = 20° (Reasons: Algebra)
Note how we got 20° by applying algebra:
90° + x = 110°
Subtract 90° from both sides
90° + x - 90° = 110° - 90°
x = 20°
