Step-by-step explanation:
thr standard form for a quadratic equation is:
ax²+bx+c
in this example, a=1, b=(-1), c=(-42)
Answer: x>-5
It is x is greater than or equal to -5
9 x 8 = 72
9 + 9 +9 + 9 + 9 +9 + 9 + 9 = 72
The interior angles of any triangle always sum to 180°.
In the triangle, angles C and D are labeled congruent, so the missing angle has measure
180° - 2 (6x - 5)°
This angle is supplementary to the one labeled (11x + 1)°, which means
180° = (11x + 1)° + (180° - 2 (6x - 5)°)
Solve for x :
180° = (11x + 1)° + 180° - 2 (6x - 5)°
0 = (11x + 1)° - 2 (6x - 5)°
0 = (11x)° + 1° - (12x)° + 10°
(12x - 11x)° = 1° + 10°
x° = 11°
x = 11
17 possible combinations
1. 3 quarters
2. 2 quarters, 1 dime, 1 nickel
3. 2 quarters, 3 nickels
4. 1 quarter, 5 dimes
5. 1 quarter, 4 dimes, 2 nickels
6. 1 quarter, 3 dimes, 4 nickels
7. 1 quarter, 2 dimes, 6 nickels
8. 1 quarter, 1 dime, 8 nickels
9. 1 quarter, 10 nickels
10. 7 dimes, 1 nickel
11. 6 dimes, 3 nickels
12. 5 dimes, 5 nickels
13. 4 dimes, 7 nickels
14. 3 dimes, 9 nickels
15. 2 dimes, 11 nickels
16. 1 dime, 13 nickels
17. 15 nickels
