Answer:
5/12
Step-by-step explanation:
Mathematical has 12 letters and 5 of those letters are vowels so the chances of you picking a vowel is 5/12 which is also 41.6% repeating
The correct answer is:
C-old price was $170; new price is $159.12
0.25x² + 8.5 - 17 = 0
1)
a = 0.25
b = 8.5
c = -17
2)
- 8.5 ± √(8.5)²-4(0.25) (-17)
------------------------------------------
2(0.25)
3)
-34 ± √1428
----------------------
2
4)
-35.894 and 35.894
Answer/Step-by-step explanation:
5. 21x + 4 = 22x - 2 (corresponding angles)
Collect like terms
21x - 22x = -4 - 2
-x = -6
divide both sides by -1
x = 6
6. (x + 72) + (x + 132) = 180 (linear pair)
x + 72 + x + 132 = 180
Add like terms
2x + 204 = 180
2x = 180 - 204
2x = -24
x = -12
7. 90 = 22x + 2 (vertical angles)
90 - 2 = 22x
88 = 22x
Divide both sides by 22
4 = x
x = 4
8. 12x + 10 = 13x + 3 (vertical angles)
Collect like terms
12x - 13x = -10 + 3
-x = -7
Divide both sides by -1
x = 7
9. 17x = 16x + 5 (alternate exterior angles)
17x - 16x = 5
x = 5
✔️17x
Plug in the value of x
17(5) = 85°
10. 21x - 6 = 20x (corresponding angles)
Add like terms
21x - 20x = 6
x = 6
✔️20x
20(6) = 120°