If angle ABC is 90°, then angle CBD is 90°:
Angle ABD=90°
3x°=90°
3x=90
Solving for x:
3x/3=90/3
x=30
Angle CBD=90°
(2x+3y)°=90°
2x+3y=90
x=30
2(30)+3y=90
60+3y=90
Solving for y:
60+3y-60=90-60
3y=30
3y/3=30/3
y=10
Answer: Option a. 10
Answer:
P (A) = 0.45
Step-by-step explanation:
The addition rule of probability states that:

Given:

Compute the value of P (A) as follows:

Thus, the probability of <em>A</em> is, P (A) = 0.45.
If at the end of the first half, the difference between the goals scored by the applewood team and the opposing team is greater than or equal to 8, then the referee will finish the game at the end of the first half.
If we call g the number of goals scored by the opposing team, then we can express this situation as an inequality:

However, it is impossible for a team to score -1 goal. Therefore the number of goals scored by the opposing team must be a number greater than 0.
So, the inequality is:
and 

The attached figure shows the graph for this inequality, which represents the number of goals that the opposing team could score if the referee finished the game in the first half.
I got -2,2....................
X= 48 is the correct answer. You can always plug in 48 back into the original equation and make sure it works.
48-23+84+48+23=180