Given:
The wheel chair ramp is parallel to the ramp.
To find:
The value of x and y.
Solution:
If two lines are parallel, then the alternate interior angles are congruent.
4x° + 6y° = 86° --------- (1)
Similarly,
5x° + 6y° = 94°
Subtract 5x° from both sides.
5x° + 6y° - 5x° = 94° - 5x°
6y° = 94° - 5x° --------- (2)
Substitute (2) in (1).
4x° + 94° - 5x° = 86°
94° - x° = 86°
Subract 94° on both sides.
94° - x° - 94° = 86° - 94°
- x° = 86° - 94°
- x° = -8°
Multiply by -1 on both sides, we get
x = 8
Substitute x = 8 in (2).
6y° = 94° - 5(8)°
6y° = 54°
Divide by 6 on both sides, we get
y = 6
The value of x is 8 and y is 6.
Hello there,
Yes, 3+5 and 5+3 do represent the same expression. This expression is called the commutative property.
Hope this helps.
~Jurgen.
Answer:
And we are 9% confidence that the true mean for the difference of the population means is given by:
Step-by-step explanation:
For this problem we have the following data given:
represent the sample mean for one of the departments
represent the sample mean for the other department
represent the sample size for the first group
represent the sample size for the second group
represent the deviation for the first group
represent the deviation for the second group
Confidence interval
The confidence interval for the difference in the true means is given by:
The confidence given is 95% or 9.5, then the significance level is and . The degrees of freedom are given by:
And the critical value for this case is
And replacing we got:
And we are 9% confidence that the true mean for the difference of the population means is given by:
Answer:
Correct answer is: f(1) = - 21 , f(n) = - 3 · f(n -1)
Step-by-step explanation:
Given geometric sequence: -21, 63, -189, 567,.........................
Formula for n-th term or a₍ₙ₎ = f(n) = a₁ · q ⁽ⁿ⁻¹⁾ where a₁ is first term and q is quotient (ratio). Formula for (n-1) th term or a₍ₙ₋₁₎ = f(n-1) = a₁ · q ⁽ⁿ⁻²⁾
In this case a₁ = -21 and q = -3
a₍₁₎ = f(1) = -21 · (-3)⁽¹⁻¹⁾ = -21 · (-3)⁰ = -21
f(n) = q¹ · f(n - 1) = q¹ · a₁ q ⁽ⁿ⁻²⁾ = a₁ · q ⁽ⁿ⁻¹⁾ = f(n)
In this case q = -3
f(n) = -3 · f(n -1)
God with you!!!