Answer: G = 50°, I = 50°, H = 80°
Step-by-step explanation:
First and foremos, the sum of three angles of a triangle is 180°
2x + 2x + (4x - 20) = 180°
8x - 20 = 180°
8x = 180° + 20 (adding 20 on both sides)
8x = 200°
x = 200/8
x = 25
The value of the angles can be found by replacing the value of x with 25
2x = 2 x 25 = 50°
Therefore, the angle of two angles are 50°
And the other is (4 x 25) -20 = 80°
x-4y-1=0
-x-5y-4=0
----------------
0+y+3=0
y+3-3=0-3
y=-3
Substituting y=-3 in the equation x-4y-1=0
x-4×-3-1=0
x+12-1=0
x+11-11=0-11
x=-11
Answer:
B) f(x) = x if x ≤ -2
2 if x > -2
Step-by-step explanation:
B) f(x) = x if x ≤ -2 (The x and y coordinate have the same value)
2 if x > -2
Answer: 0.9746
Step-by-step explanation:
Given : A normally distributed population has a mean of 250 pounds and a standard deviation of 10 pounds.
i.e.

Sample size : n= 20
Let
sample mean values.
Then, the probability that this sample will have a mean value between 245 and 255 be

Hence , the probability that this sample will have a mean value between 245 and 255 is 0.9746 .