Answer:
∠ 5 = 40°
Step-by-step explanation:
∠ 1 and ∠ 2 are adjacent angles and supplementary, thus
∠ 2 = 180° - ∠ 1 = 180° - 140° = 40°
∠ 5 and ∠ 2 are alternate angles and congruent , thus
∠ 5 = 40°
Answer:
.01%*
Step-by-step explanation:
Individually, they both have a rate of failure of 1%.
.01 x .01 = .0001
Therefore they have a combined probability of failure of .01%
*Disclaimer!!
I am not the best at this area in math so I would still reference against someone else's answer, but this is my best effort :)
Answer:
[(2)^√3]^√3 = 8
Step-by-step explanation:
Hi there!
Let´s write the expression:
[(2)^√3]^√3
Now, let´s write the square roots as fractional exponents (√3 = 3^1/2):
[(2)^(3^1/2)]^(3^1/2)
Let´s apply the following exponents property: (xᵃ)ᵇ = xᵃᵇ and multiply the exponents:
(2)^(3^1/2 · 3^1/2)
Apply the following property of exponents: xᵃ · xᵇ = xᵃ⁺ᵇ
(2)^(3^(1/2 + 1/2)) =2^3¹ = 2³ = 8
Then the expression can be written as:
[(2)^√3]^√3 = 8
Have a nice day!
Answer:
5, 7, 9, 11
Step-by-step explanation:
Solve the inequality
w - 4 < 8 ( add 4 to both sides )
w < 12
w ∈ { 5, 7, 9, 11 }