<h2>
Answer:</h2>
<h2>
Step-by-step explanation:</h2>
I've drawn a graph in order to a better understanding of this problem. We know that:
BC is perpendicular to AC
∠DBE = 2x - 1
∠CBE = 5x - 42
Let's call the intersection of line BC and AC the point P, so:
∠P=90°
And points B, P and C form the triangle ΔBPC. On the other hand, ∠CBE and ∠PCB are Alternate Interior Angles, so:
∠PCB = ∠CBE = 5x - 42
Moreover:
∠PBC = 2x - 1 - (5x - 42)
∠PBC = 2x - 1 - 5x + 42
∠PBC = -3x + 41
The internal angles of any triangle add up to 180°. Hence for ΔBPC:
90° + ∠PBC + ∠PCB = 180°
90° - 3x + 41 + 5x - 42 = 180°
2x + 89 = 180
2x = 91
x = 45.5°
Answer:
Step-by-step explanation:
Probability is defined as the likelihood of an event occurring .
-The number of possible basketball cards is 2
-The total number of cards is 20
#Probability that it will be a basketball card is calculated as:
Hence, the probability of a basketball card is 0.1
Equation of cost per month: 39.95+0.35((x-500)=>0)=cost. (x=minutes of usage)
Explanation: The cell phone plan, at the start of a month costs $39.95, which is graph terms is the Y intercept. Thus the "39.95+" at the start of the equation. Since the first 500 minutes is free, then the cost of the plan must start after these 500 minutes, which is why there is a -500 for the amount of minutes used, but because the amount of minutes can be less than 500, which will result to a negative number (which can not happen, because these minutes are free), we must add a "greater than or equal to 0" sign at the end of t-500, so that the result must be 0 minutes or more. Since the cost of every minute after the first 500 minute costs $0.35, we must add that to the amount of minutes of usage that have passed, thus the 0.35x. All the results to 39.95+0.35((x-500)=>0)=cost in dollars
as for the bill of $67.70 questions, we simply have to plug this into the equation, making:
39.95+0.35((x-500)=>0)=$69.70
-39.95 -39.95
0.35((x-500)=>)=$29.75
/0.35 /0.35
x-500=85
+500 +500
x=585
So the answer is that it takes 585 minutes of usage to receive a bill of $69.70.
Answer:
A
Step-by-step explanation:
If you plot the point on a cartesian plane you see it is on the y axis