Answer:
Bottom left
Step-by-step explanation:
The point of reflection is the bottom left one because when reflecting a figure in a line or in a point, the image is congruent to the preimage. A reflection maps every point of a figure to an image across a fixed line. The fixed line is called the line of reflection.
Answer:
Option.B
Step-by-step explanation:
Its because if you add these two angles you get a supplementary angle or 180°
Using this we can form an equation to find the value of x.
(Hope this answer helps :))
(And is this question from Khan Academy?)
Answer: 0.1824
Step-by-step explanation:
Given : The mileage per day is distributed normally with
Mean : 
Standard deviation : 
Let X be the random variable that represents the distance traveled by truck in one day .
Now, calculate the z-score :-
For x= 132 miles per day.
For x= 159 miles per day.
Now by using standard normal distribution table, the probability that a truck drives between 132 and 159 miles in a day will be :-
Hence, the probability that a truck drives between 132 and 159 miles in a day =0.1824
Answer:
hey, there!
Step-by-step explanation:
The given is a point (-6,8) through which a line passes. And is perpendicular to the line y = 2x-4
The equation for point (-6,8) is,
(y-8)= m1(x+6)...........(i)
and given equation is y = 2x-4............(ii)
Now, from equation (ii).
slope (m2)= 2 { as equation (ii) is in the form of y= mx+c where m is a slope}.
Now, For perpendicular,
m1×m2= -1
m1×2= -1
Therefore, m1 = -1/2.
Putting, the value of m1 in equation (i).
(y-8) = -1/2×(x+6)
2(y-8)= -1(x+6)
2y - 16 = -x -6
x+2y-10 = 0......... is the required equation.
Hope it helps...
The information we've been given is:
12 heads
15 tails
From those, we find that there are 12 + 15 = 27 coins.
Let's examine these ratios as such:
- 12 heads to 27 coins -
There are indeed 12 heads and 27 coins, so this comparison agrees with our data.
- 15 tails to 12 heads -
Again, nothing here contradicts with our data, so this would be correct as well
- 12 heads to 15 tails -
Simply a reversed version of the ratio above; still a completely valid way to compare the relative quantities of heads and tails
- 5 tails to 9 coins -
This one needs a little more examination. We observe that the ratio of tails to coins with our given data is 15 tails to 27 coins. This seems to go against our data, but we can simplify our ratio by dividing both the number of tails and the number of coins by 3, which indeed gives us the ratio 5 tails to 9 coins.
So, all of the given ratios are correct.
