Answer:
Angle 1: 115
Angle 2: 65
Angle 3: 115
Angle 4: 65
Angle 5: 115
Angle 6: 65
Angle 7: 115
Step-by-step explanation:
Find the value of angle 2 by applying the vertical angles theorem (65)
Find the value of angle 1 by applying the supplementary angles theorem from the original angle (180 - 65 = 115)
Find the value of angle 3 by applying the vertical angles theorem from angle 1 (115)
Angles 4, 5, 6, and 7 are on a line parallel to the orginal line, cut by the same transversal, so they have the same values, according to the same side interior/exterior angles theorems.
Answer:
2
Step-by-step explanation:
1+1= 2
Hi
Answer:
Null hypothesis : 
Alternate hypothesis : 
Step-by-step explanation:
To Find : State the hypotheses to be tested.
Solution
Mean = 72
Standard deviation = 20
N = 30
Claim : Shorney Construction Company bids on projects assuming that the mean idle time per worker is 72 or fewer minutes per day.
So, Null hypothesis : 
Alternate hypothesis : 
6x^2 - 2x + 1 is a quadratic formula from the form ax^2 + bx + c. This form of equation represents a parabola.
Finding 6x^2 - 2x + 1 = 0, means that you need to find the zeroes of the equation.
Δ = b^2 - 4ac
If Δ>0, the equation admits 2 zeroes and 6x^2 - 2x + 1 = 0 exists for 2 values of x.
If Δ<0, the equation doesn't admit any zero, and 6x^2 - 2x + 1 = 0 doesn't exist since the parabola doesn't intersect with the axe X'X
If Δ=0, the equation admits 1 zero, which means that the peak of the parabola is touching the axe X'X.
In 6x^2 - 2x + 1, a=6, b=-2, and c =1.
Δ= b^2 - 4ac
Δ=(-2)^2 - 4(6)(1)
Δ= 4 - 24
Δ= -20
Δ<0 so the parabola doesn't intersect with the Axe X'X, which means there's no solution for 6x^2 - 2x + 1 = 0.
I've added a picture of the parabola represented by this equation under the answer.
Hope this Helps! :)