Answer:
see explanation
Step-by-step explanation:
3x and 144 are adjacent angles on a straight line and sum to 180°
3x + 144 = 180 ( subtract 144 from both sides )
3x = 36 ← value of 3x
divide both sides by 3
x = 12
and
2y - 5 and 95 are vertically opposite angles and are congruent, so
2y - 5 = 95 ← value of 2y - 5
add 5 to both sides
2y = 100 ( divide both sides by 2 )
y = 50
Then
x + y = 12 + 50 = 62
Answer:
B-91%
Step-by-step explanation:
Bayes Theorem:
Two events, A and B.

In which P(B|A) is the probability of B happening when A has happened and P(A|B) is the probability of A happening when B has happened.
In this question:
Event A: arriving home after 7 p.m.
Event B: getting home by bus.
When he chooses to get home by bus, he arrives home after 7 p.m. 25 percent of the time.
This means that 
Because the bus is cheaper, he uses the bus 70 percent of the time.
This means that 
Probability of getting home after 7 p.m.
70% of the time he uses bus, and by bus, he arrives arrives home after 7 p.m. 25 percent of the time.
100 - 70 = 30% of the time he uses the car, and by car, he arrives home after 7 p.m. 6 percent of the time.
So

What is the approximate probability that Matthew chose to get home from work by bus, given that he arrived home after 7 p.m.?

Rouding up, 91%.
So the correct answer is:
B-91%
Explanation: The alphabet consists of 26 letters, and if each license plate has 3 letters we can make 8 plates. It may be followed by 2 digits but there is a plenty amount of different 2 digit numbers so we don't have to worry about that.
Answer: 8 License plates
Hope this helped! :D
Answer:
6 batches
Step-by-step explanation:
24 people x 4 cupcakes = 96 cupcakes
96 cupcakes / 16 per batch = <u>6 batches</u>
Hope this helped, have a nice day! :)
A proportional relationship has the form: y=mx
The first three options (y=(1/3)x, y=2x, and y=3.4x) have this form. The fourth option is:
y+1=2x
If we isolate y:
y+1-1=2x-1
y=2x-1, it does not have the form y=mx
Answer: The equation that does not represent a proportional relationship is: Fourth option: y+1=2x