Answer:
1. 2x + 30° = 180°
2x = 150°
x = 75°
2. (2x - 24)° + (x + 12)° + (x - 8)° = 180°
4x - 20 = 180°
4x = 200
x = 50°
Answer:
Step-by-step explanation:
<u>Solving quadratic equation:</u>
- 5x² - 8x + 5 = 0
- x = (-b ± √b²-4ac)/2a
- x = (8 ± √8²-4*5*5)/2*5
- x = (8 ± √64-100)/10
- x = (8 ±√-36)/10
- x = (8 ± 6i)/10
- x = (4 ± 3i)/5
x = (r ± si)/t
r = 4, s = 3, t = 5
Answer:
Step-by-step explanation:
Given data:

standard deviation is 
As distribution is normal in shape and values are symmetrical
The standard deviation rule says that 95% of observation lies between the second standard deviation of the mean
so, approximately only 5% of observation lies outside the interval and normal shape is symmetric. hence approximately 0.15% of observation lies above the interval


almost 0.15% of students spent more amount is 529
Click on the box for more details on how to <span>distributive property to express 30 + 75.</span>
Simplifying
3a + 2b + c = 26
Solving
3a + 2b + c = 26
Solving for variable 'a'.
Move all terms containing a to the left, all other terms to the right.
Add '-2b' to each side of the equation.
3a + 2b + -2b + c = 26 + -2b
Combine like terms: 2b + -2b = 0
3a + 0 + c = 26 + -2b
3a + c = 26 + -2b
Add '-1c' to each side of the equation.
3a + c + -1c = 26 + -2b + -1c
Combine like terms: c + -1c = 0
3a + 0 = 26 + -2b + -1c
3a = 26 + -2b + -1c
Divide each side by '3'.
a = 8.666666667 + -0.6666666667b + -0.3333333333c
Simplifying
a = 8.666666667 + -0.6666666667b + -0.3333333333c