Answer:
x = 85°
Step-by-step explanation:
As noticed this is a Pentagon (5 sided polygon); therefore to find x, first we have to find the sum of it's interior angles;
Sum of interior angles of a pentagon = (n - 2) * 180°
=> Sum of interior angles of a pentagon = (5 - 2) * 180°
=> Sum of interior angles of a pentagon = 3 * 180
=> Sum of interior angles of a pentagon = 540
Now that we know the sum of interior angles, we can set up the equation and solve for x;
115 + 95 + 115 + 130 + x = 540
455 + x = 540
x = 540 - 455
x = 85
Hope this helps!
Answer:
Obviously!! positive is your answer. thanks!!
For large sample confidence intervals about the mean you have:
xBar ± z * sx / sqrt(n)
where xBar is the sample mean z is the zscore for having α% of the data in the tails, i.e., P( |Z| > z) = α sx is the sample standard deviation n is the sample size
We need only to concern ourselves with the error term of the CI, In order to find the sample size needed for a confidence interval of a given size.
z * sx / sqrt(n) = width.
so the z-score for the confidence interval of .98 is the value of z such that 0.01 is in each tail of the distribution. z = 2.326348
The equation we need to solve is:
z * sx / sqrt(n) = width
n = (z * sx / width) ^ 2.
n = ( 2.326348 * 6 / 3 ) ^ 2
n = 21.64758
Since n must be integer valued we need to take the ceiling of this solution.
n = 22
Answer:
They are the came length. And are like mirrored.
Step-by-step explanation:
Step-by-step explanation:
The perimeter of a triangle is calculated by adding all three side lengths together
That means x + 3 + x + 4 + x + 1 = 17 add the like terms
3x + 8 = 17
3x = 9
x = 3
BC = x + 3 ➡ 6
CD = x + 4 ➡ 7
BD = x + 1 ➡ 4