RS => y - 5 = (8 - 5)/(1 - (-1)) (x - (-1))
y - 5 = 3/2 (x + 1) => slope = 3/2
ST => y - 8 = (-2 - 8)/(7 - 1) (x - 1)
y - 8 = -10/6 (x - 1) = -5/3 (x - 1) => slope = -5/3
TU => y - (-2) = (0 - (-2))/(2 - 7) (x - 7)
y + 2 = 2/5(x - 7) => slope = 2/5
UR => y = 5/(-1 - 2) (x - 2)
y = -5/3 (x - 2) => slope = -5/3
The median is the line joining the midpoints of the non-parallel sides.
Midpoint of RS = ((-1 + 1)/2, (5 + 8)/2) = (0, 13/2)
Midpoint of TU = ((7 + 2)/2, -2/2) = (9/2, -1)
Equation of the line joining (0, 13/2) and (9/2, -1) is given by y - 13/2 = (-1 - 13/2)/(9/2) x
y - 13/2 = (-15/2)/(9/2) x
y - 13/2 = -15/9x
18y - 117 = -30x
30x + 18y = 117
Answer:
Simplifying
5x + x = 54
Combine like terms: 5x + x = 6x
6x = 54
Solving
6x = 54
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Divide each side by '6'.
x = 9
Simplifying
x = 9
Step-by-step explanation:
20.sometimes
21.always
22.always
23.sometimes
Answer: No
In right triangle we have 30:60:90
and the ratios are
x: x root of 3: 2x
so, for example, if we have side of length 3 against 30 degrees, then against 60 degrees the side will be 3 root of 3, and against 90 degrees it will be 6.
Hope it helps!
Answer:
25
Step-by-step explanation:
We know that the standard error of the sampling distribution of sample means is
Standard error=standard deviation/√n
√n=standard deviation/Standard error
n=(standard deviation/Standard error)²
We are given that standard deviation=5 and standard error=1. So,
n=(5/1)²
n=5²
n=25.
Thus, the required sample size is 25.
