Solution:
x y ║ z w→→Given
Also, x z is a transversal, that intercepts x y and z w.
So, ∠ x z w=∠z x y→→Alternate interior angles as, x y ║ z w.
Also, v is point of intersection of x z and y w.
∠ x v y ≅ ∠ z v w→→[ Vertically opposite angles]
So,→→ Δ x y v ~ Δ z w v⇒⇒[Angle-Angle Similarity]
The correct answer is rectangle
Answer:
m = 4 or m = -8
Step-by-step explanation:
length between 2 points = √(difference of x)² + (difference of y)²
AB² = (m - (-2))² + (5 - 3)² = (m + 2)² + 4 = m² + 4m +8
AC² = ((-1) - (-2))² + (0 - 3)² = 10
AB² = 4AC²
m² + 4m +8 = 40
m² + 4m - 32 = 0
(m - 4) (m + 8) = 0
m = 4 or m = -8
Answer:
C.
Step-by-step explanation:
Like terms must have exactly the same variables and exactly the same exponents.
In C., you have mn and mn^2. That makes the variable parts not the same, so they are not like terms.
Answer: C.
Answer:
The 80% confidence interval for the mean
(4.6199 , 4.7801)
Step-by-step explanation:
<u>Explanation</u>:-
Assuming that the population standard deviation for the number of energy drinks consumed each week is 1
Given the Population standard deviation 'σ' = 1
The study found that for a sample of 256 teenagers the mean number of energy drinks consumed per week is 4.7
given sample size 'n' = 256
mean of the sample 'x⁻' = 4.7
<u>confidence interval for the mean</u>
The 80% confidence interval for the mean is determined by

the z-score of 80% level of significance = 1.282

(4.7 - 0.0801 , 4.7 +0.0801)
(4.6199 , 4.7801)
<u>Conclusion</u>:-
The 80% confidence interval for the mean
(4.6199 , 4.7801)