Answer:
20 degrees
Step-by-step explanation:
The sum of inner angles of a triangle is 180 degrees
120 + 40 + x = 180
160 + x = 180
x = 20
<u>Answer:
</u>
The complete factorization of 
are 4(x-3y)(x+3y)
<u>Solution:</u>
Given Data:
Take common value in all the three term.so we take 4 as common term in the above expression
Now factorize the expression 
Find the two numbers, whose product should be 9 and sum should be -6.
-3,-3 are the numbers which satisfy the above condition.
When we add -3-3=Sum is 6
Product of -3 
-3= 9
-3 , -3 satisfies the condition.
So the expression will become as 
= 
Take the common term
x(x-3y)+3y(x-3y)
(x-3y)(x+3y)
hence the complete factorization of are 4(x-3y)(x+3y)
I think the answer to that is 1 guest because it said charges guest which means only 1 person is charged
Answer: 2/8
Step-by-step explanation:
The probability that the marbles are white or grey is 2/8 because since there is 2 marbles and the total is 8 so you have a probability of 25% to get white or gray
This is a question of resolving the forces in question into horizontal and vertical and then finding the action of the resultant force.
The first force acts at an angle less than 90° and thus its resolved forces are positive. The second force acts at angle larger than 90° and is incident and thus its horizontal value is positive while its vertical value is negative.
Therefore;
For force of 300 N at 30°;
Horizontal value = 300*Cos 30 = 259.81 N
Vertical value = 300*Sin 30 = 150 N
For 150 N at 135°;
Horizontal value = 150*Cos (180-135) = 106.07 N
Vertical value = -150*Sin (180-135) = -106.07 N
Then,
Resultant horizontal value = 259.81+106.07 = 365.88 N
Resultant vertical value = 150-106.07 = 43.93 N
Therefore,
Resultant force, v = Sqrt (365.88^2+43.93^2) = 368.51 N
Angle of action measured from horizontal = tan ^-1(43.93/365.88) 6.85°
Then,
v = 368.51 N at 6.85° from horizontal
