Answer:
Part 1) The measure of angle F is 
Part 2)The value of x is 
Step-by-step explanation:
Part 1) Find the measure of angle F
we know that
-----> by supplementary angles
Part 2) we know that
The sum of the internal angles of a triangle must be equal to 180 degrees
so
In this problem
substitute values and solve for x
Answer:
The probability that the red card came from the first stack is:
40%
Step-by-step explanation:
a) Data and Calculations:
Stack Red Blue Total
First 6 5 11
Second 9 0 9
Total 15 5 20
The probability of selecting from the first stack = 50% since equal opportunity is given to the two sacks.
The probability of red card from the first stack = 6/15 = 0.4 = 40%.
b) The probability that the red card came from the first stack is given by the number of red cards in the first stack divided by the number or red cards in the two stacks. This is equal to 6/15 = 0.4 or 40%.
The total scores of the x students from class A can be calculated by multiplying x and the average which is equal to 85. That is 85x.
In similar manner, we are able to find for the total scores of the students from Class B. That would be, 90y.
Combining the scores, the new average then becomes 88. This is equal to,
(85x + 90y) / (x + y ) = 88
Cross-multiplying,
85x + 90y = 88x + 88y
Combine all the x's and y's in each side of the equation.
85x - 88x = 88y - 90y
Combining terms,
-3x = -2y
The ratio is obtained through the step below,
-3x/-3y = -2y/-3y
x/y = 2/3
Thus, the ratio is 2/3.
A-720
30x12x2
There are 30 dozen, a dozen means twelve. 30 times 12 is 360. There are 360 pairs of gloves. A pair means 2. 360 pairs times 2 gloves in a pair equals 720.
X=15 degrees if we assume that the blank angle is a 90 degree angle...
Hope this helps :D
