Answer:
x = 34
Step-by-step explanation:
The sum of the three angles is 180 since they make a straight line
x+12 + 100 +x = 180
Combine like terms
2x+112=180
Subtract 112 from each side
2x+112-112= 180-112
2x = 68
Divide by 2
2x/2 =68/2
x = 34
The required graph is attached.
Angle 3 is 99 degrees.
Angle 2 is 61 degrees.
angle 1 is also 61 degrees.
Answer:
A ∩ B = {1, 3, 5}
A - B = {2, 4}
Step-by-step explanation:
The given problem regards sets and set notation, a set can simply be defined as a collection of values. One is given the following information:
A = {1, 2, 3, 4, 5}
B = {1, 3, 5, 6, 9}
One is asked to find the following:
A ∩ B,
A - B
1. Solving problem 1
A ∩ B,
The symbol (∩) in set notation refers to the intersection between the two sets. It essentially asks one to find all of the terms that two sets have in common. The given sets (A) and (B) have the values ({1, 3, 5}) in common thus, the following statement can be made,
A ∩ B = {1, 3, 5}
2. Solving problem 2
A - B
Subtracting two sets is essentially taking one set, and removing the values that are shared in common with the other set. Sets (A) and (B) have the following values in common ({1, 3, 5}). Thus, when doing (A - B), one will omit the values ({1, 3, 5}) from set (A).
A - B = {2, 4}
Answer:
1/45
Step-by-step explanation:
I assume there are 10 marbles total, 2 of which are yellow.
The probability the first marble is yellow is 2/10.
There's now one less marble, so the probability that the second marble is yellow is 1/9.
The total probability is (2/10) (1/9) = 1/45.
