They will have to pay a $42 increase so a total of $742.
5x5+5x2 and I think that is a good way to explain this
Answer:
P=0.0899.
Step-by-step explanation:
We know that are 5 black balls and 9 red balls in an urn. If 4 balls are drawn without replacement. We calculate the probability that exactly 3 black balls are drawn.
Therefore, we have 14 balls in an urn.
We calculate the number of possible combinations:
We calculate the number of favorable combinations:
Therefore, the probability is:
P=90/1001
P=0.0899.
Put the x on one side
2x+7=x+11
-x -x
x+7=11
Then subtract
x+7-7=11-7
x=4
Hope it helps!!
Answer:
The measure of angle A is: m∠A = 96
Therefore, option A is true.
Step-by-step explanation:
Given
m∠C = 3x
m∠D = x+52
We know that the opposite angles of a parallelogram are also equal.
Determining m∠A
It is clear that A is the opposite angle of C.
i.e.
m∠A = m∠C
as m∠C = 3x
so m∠A = 3x
Determining m∠B
It is also clear that B is the opposite angle of D.
i.e.
m∠B = m∠D
as m∠D = x+52
so m∠B = x+52
We know that the sum of the angles of a parallelogram is 360°.
so
m∠A + m∠B + m∠C + m∠D = 360°
3x + (x+52) + 3x + (x+52) = 360°
Group like terms
Subtract 104 on both sides
Simplify
Divide both sides by 8
Simplify
Thus,
The measure of the angle A is:
m∠A = 3x
substitute x = 32
m∠A = 3(32)
m∠A = 96
Hence, the measure of angle A is: m∠A = 96
Therefore, option A is true.