The theorem tells you angles complementary to the same angle are congruent. Both 4 and 1 are complementary to 5, so 4 and 1 are congruent.
The angle congruent to 4 is 1.
1. lines j and k because they have the same slope.
2.d because -1/3 is the opposite slope of 3 and it passes through that point.
Lets take Gregs weight as “x”. This means that Justins weight is x-15, and x/2 = (x-15)-75.
If we take that last equation, lets combine like terms:
x/2 = x - 15 - 75
x/2 = x - 90
Now multiply both sides by 2 to get rid of the fraction
x = 2x - 180
Subtract 2x from both sides
x - 2x = -180
-x = -180
x = 180 — this is Gregs weight
Justins weight is x-15, so 180-15, which is 165 pounds. Hope this helped.
Answer: A) the vertex is maximum value
B) the axis of symmetry is x= -1/2
C) the domain is all real numbers
Step-by-step explanation:
The outcome A="At least one" means {1,2,3,4,5......n} where n is the maximum possible outcome.
The only other outcome (B) left (i.e. the complement of the above event "at least one") is (B)={0}.
Therefore, by Kolmogorov's second axiom, A and B are complements, and
P(A)+P(B)=1
therefore
P(A)=1-P(B), or in words,
Probability of outcomes of "at least one" is the complement of the outcome of "0" item.
