Step-by-step explanation:
angle 2+40=180
angle 2=180-40
angle 2=140
the answer Is 140 degree
The square root of 144=12
169=13
the difference is 13-12=1
The probability is 7/41.
We are looking for
P(multiple of 6 given 2 digit) = P(2 digit & multiple of 6)/P(2 digit)
There are 7 2-digit numbers that are multiples of 6 between 1 and 50, out of 50 numbers; P(2 digit & multiple of 6) = 7/50
There are 41 2-digit numbers out of 50; P(2 digit) = 41/50
This gives us 7/50 ÷ 41/50 = 7/50 × 50/41 = 7/41
Answer:
2 hours, 142 miles
Step-by-step explanation:
Given;
equation of motion of car A as;
y = 55x + 32
equation of motion of car B as;
y = 42x + 58
where;
y is distance measured in miles
x is time measured in hours
When the distance of the two cars are equal, we will have the following equation;
55x + 32 = 42x + 58
collect like terms and solve for x
55x - 42x = 58 - 32
13x = 26
x = 26 /13
x = 2 hours ( x is time measured in hours)
Now substitute in the value of x into any equation of the cars;
y = 55x + 32
y = 55 (2) + 32
y = 110 + 32
y = 142 miles ( y is distance measured in miles)
Thus, the correct option is 2 hours, 142 miles
