Answer:
Step-by-step explanation:
Given:
∠1 and ∠2 are supplementary.
To prove:
l║m
Proof:
∠2 is a supplement of a. ∠1 (Given)
∠3 is a supplement of b. ∠1 [Linear pair of angles are supplementary]
Since supplements of the same angle are congruent,
c. ∠1 ≅ d. ∠2
Since ∠2 and ∠3 are also corresponding angles, l║m by the converse of same side interior angles postulate.
A, B and E.
Adding and multiplying the terms allow them to keep working. However, you must make sure that each variable is changed each time. Not just one as in C and D.
the answer would be 336 because when you multiply 7x5x9.6 then you you get the total of 336.
Answer:
A. {(-4,-6), (-3,-2), (1,-2), (1,0)}
Step-by-step explanation:
Answer:
0.2 ; 100 ; 4.84
Step-by-step explanation:
Given that the probability of each of the 5 groups is the same :
Sum of probability = 1
Hence, Probability of each group = 1 / number of groups = 1 / 5 = 0.2
Expected number for each interval for a sample of 500 : ; X = 500
E(X) = X * P(x) = 500 * 0.2 = 100
Goodness of fit (X²) :
X² = Σ(X - E)² ÷ E
Groups :
113, 95, 108, 99, and 85
X : 113 ____ 95 ____ 108 ____ 99 _____ 85
(113 - 100)^2 / 100 = 1.69
(95 - 100)^2 / 100 = 0.25
(108 - 100)^2 / 100 = 0.64
(99 - 100)^2 / 100 = 0.01
(85 - 100)^2 / 100 = 2.25
(1.69 + 0.25 + 0.64 + 0.01 + 2.25) = 4.84