Answer:
E
Step-by-step explanation:
the sum of the 3 angles in a triangle = 180°
Consider the triangle on the left
3rd angle = 180° - 60° - 90° = 180° - 150° = 30°
the 3rd angle of the triangle on the left = 30° ( vertically opposite angle ), so
∠ 1 = 180° - 30° - 65° = 180° - 95° = 85°
Answer:
585
Step-by-step explanation:
This sort of problem can be solved using a 2-way table that categorizes tourists by combination of destinations. Of the four possible combinations, one is ruled out (China, but not India). We can determine percentages and numbers for the combinations of interest using the given data.
__
80% have been to India, so 20% have not. All of those have also not been to China. Since tourists in that category number 260, there must be ...
260/20% = 1300 . . . tourists surveyed
Of the 80% who have been to India, 35% have been to China. That leaves 45% who have been to India, but not China. This number is ...
45% × 1300 = 585
The number of tourists who have been to India, but not China, is 585.
Best Answer: Bill's time to do the whole job, B
Jeff's time, B + 5
time they actually work, 6.
6/B + 6/(B+5) = 1
6(B+5) + 6B = B(B+5)
6B + 30 + 6B = B² + 5B
B² - 7B - 30 = 0
(B - 10)(B + 3) = 0
B = 10 or B = -3, and we reject the negative solution.
the equation is based on adding the fractions of the whole job each does. if Bill takes B hours to do the whole thing and works 6, he does 6/B of the job. similarly for Jeff.
in the 2nd problem,
a = time of experienced accountant
2a = time of new accountant
10 = time each actually works
10/a + 10/(2a) = 1 ........ multiply all by a
10 + 5 = a
a = 15 hr.
That's the "decimal point".
40% of 270 is 108 because first you divide 40/100and you get 0.4 then you multiply that by 270 and you get 108
