Notice that based on the diagram, all of the sides of the triangle are the same length. (The dashes on the sides of the triangle show that the sides are of congruence.) This means that the triangle is an equilateral triangle. An important thing to note about equilateral triangles is that they all have angles of 60°. All angles in equivalent triangles are 60°.
This means that we can set equal to 60 to solve for
:
Our answer is x = 9.
Answer:
(9) (10)
(11)
(12)
(13)
14)
(15)
(16)0
Step-by-step explanation:
The sample Space of the single die rolled twice is presented below:
{(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6), (2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6),
(3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6), (4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6),
(5, 1), (5, 2), (5, 3), (5, 4), (5, 5), (5, 6), (6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6),}.
n(S)=36
(9)Probability of getting two numbers whose sum is 9.
The possible outcomes are: (3, 6), (4, 5), (5, 4)
10) Probability of getting two numbers whose sum is 4.
The possible outcomes are: (1, 3),(2, 2),(3, 1),
11.)Find the probability of getting two numbers whose sum is less than 7.
The possible outcomes are: (1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (2, 1), (2, 2), (2, 3), (2, 4), (3, 1), (3, 2), (3, 3), (4, 1), (4, 2), (5, 1)
12.Probability of getting two numbers whose sum is greater than 8
The possible outcomes are:(4, 5), (4, 6), (5, 4), (5, 5), (5, 6), (6, 3), (6, 4), (6, 5), (6, 6)
(13)Probability of getting two numbers that are the same (doubles).
The possible outcomes are:(1, 1)(2, 2), (3, 3), (4, 4), (5, 5), (6, 6)
14.Probability of getting a sum of 7 given that one of the numbers is odd.
The possible outcomes are: (2, 5), (3, 4), (4, 3), (5, 2), (6, 1)
(15)Probability of getting a sum of eight given that both numbers are even numbers.
The possible outcomes are: (2, 6), (4, 4), (6, 2)
16.Probability of getting two numbers with a sum of 14.