Answer:
14.6
Step-by-step explanation:
(231 - 158) / 5 = 14.6
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
Answer:
original number is 18.07
Step-by-step explanation:
Let the original number be x
x - 17% of x = 15
x* (1 - 0.17) = 15
x * 0.83 = 15
x = 15/0.83
x = 18.072289156
Or if your wording meant 17% of a number is 15 then:
x * 17% = 15
x *0.17 = 15
x = 15/0.17 = 88.23529...
but I think you meant "decreased by 17%" so I choose x = 18.07
