Answer:
D
Step-by-step explanation:
∠1 + ∠2 = 180 {Supplementary angles}
6x + 15 + 3x + 3 = 180
6x + 3x + 15 + 3 = 180
Combine like terms
9x + 18 = 180
Subtract 18 from both sides
9x = 180 - 18
9x = 162
x = 162/9
x = 18
∠2 = 3x +3
= 3*18 + 3
= 54 + 3
∠2 = 57°
3 and 4
Step-by-step explanation:
y=5x
y=5(0)
y=0
y=5x
y=5(10)
y=50
y=5x
y=5(51)
y=255
y=5x
y=5(400)
y=2000
So we have 52 horses. We know that 12 are white, so:
W : B - 12: x, where x is the unknown amount of horses.
52 - the twelve white horses = 40 other horses.
This means that there are 40 black horses, so the ration of W:B is 12:40. We can simplify this ratio.
The highest common factor of both numbers is 4, so the ratio can be divided by four, giving 3:10.
Therefore the ratio is 3:10.
Hope I helped!
I have a similar problem here with a slightly different given.
Heights of men on a baseball team have a bell shaped distrubtion with a mean of 172cm and a standard deviation of 7cm. Using that is the empirical rule, what is the approximate percentage of the men between the following values?
a) 165 cm and 179cm
<span>b) 151cm and 193cm
</span>
The solution is:
<span>a. (165-172)/7 = -1, (179-172)/7 = 1, % by empirical rule = 68%
b. (151-172)/7 = -3, (193-172)/7 = 3, % by empirical rule = 99.7%
</span>
I hope that by examining the solution for this problem, it could help you answer your problem on your own.
