A bag contains four red marbles, two Yellow Marbles and five blue marbles.
Two marbles are drawn at random without replacement.
Total number of marbles are,

There are 11 ways to select first marble and 10 ways to select second marble.
The total number of possible outcomes are calculated as,

Thus the total number of possible outcomes are 110.
Answer:
N/A
Step-by-step explanation:
Which area of shaded segment?
Answer: x = -5
Step-by-step explanation:
First convert 3/4 to decimal= 0.75
0.75 (8x - 4) = 7x + 2
6x - 3 = 7x + 2
Transpose 7x from right hand side to the left hand side
6x - 7x = 2 + 3
-x = 5
x = -5
I hope this helps.
Answer:
The answer is below
Step-by-step explanation:
∠EFG and ∠GFH are a linear pair, m∠EFG = 3n+ 21, and m∠GFH = 2n + 34. What are m∠EFG and m∠GFH?
Solution:
Two angles are said to form a linear pair if they share a base. Linear pair angles are adjacent angles formed along a line as a result of the intersection of two lines. Linear pairs are always supplementary (that is they add up to 180°).
m∠EFG = 3n + 21, m∠GFH = 2n + 34. Both angles form linear pairs, hence:
m∠EFG + m∠GFH = 180°
3n + 21 + (2n + 34) = 180
3n + 2n + 21 + 34 = 180
5n + 55 = 180
5n = 125
n = 25
Therefore, m∠EFG = 3(25) + 21 = 96°, m∠GFH = 2(25) + 34 = 84°
we know that
The measurement of <u>the external angle</u> is the semi-difference of the arcs which includes
so
m∠LMN=
therefore
the answer is 