Answer:
∠ ABE = 46°
Step-by-step explanation:
Since BE bisects ∠ ABC , then
∠ EBC = ∠ ABE, substitute values
4x - 6 = 2x + 20 ( subtract 2x from both sides )
2x - 6 = 20 ( add 6 to both sides )
2x = 26 ( divide both sides by 2 )
x = 13
Thus
∠ ABE = 2x + 20 = 2(13) + 20 = 26 + 20 = 46°
Answer:
the formulas for profit and loss percentage are given below profit percentage p profit cost price into 100 loss percentage l is equal to loss cost price is into 100 SP
Answer:
Solution : y = ± 1/3x
Step-by-step explanation:
Remember that the equation of a hyperbola is in the form (y - k)² / a² - (x - h)² / b² = 1. Therefore we have a² here = 9, and b² here = 81.
To determine the asymptotes we can use the equation y = k ± a/b(x - h). What makes this equation really simple, is that k = 0 and h = 0, giving us y = ± a/b(x). Let's isolate a and b given a² = 9, and b² = 81 --- (1)
a² = 9
a = 3
b² = 81
b = 9
Therefore our asymptotes will be in the form y = ± a/b(x) = ± 3/9(x) = ± 1/3x. Our solution is thus option a.
Answer:
Step-by-step explanation:
Given that a survey asked, "How many tattoos do you currently have on your body?" Of the 1221 males surveyed, 193 responded that they had at least one tattoo. Of the 1005 females surveyed, 130 responded that they had at least one tattoo.
(two tailed test at 1% significance level)
Difference in proportions =
Standard error for difference in proportions = 0.0150
Margin of error = 2.58*std error
= 0.0387
99% confidence interval =
Since this confidence interval contains 0 for difference in proporiton we can say that H0 is true.
We are 99% confidence that for samples randomly drawn for large sizes, the males and females have approximately the same proportion.
Answer:
B (HI/GI)
Step-by-step explanation:
Remember Soh Cah Toa.
To<em>a</em> is the trick for tan, meaning the tan function is opposite divided by <em>adjacent</em>. The side opposite of angle G is HI, and the side adjacent to it is GI.