Step-by-step explanation:
in essence, these 2 points are the Hypotenuse of a right-angled triangle. the legs are the coordinate differences between the 2 points creating the 3rd point of that triangle at (-10, 7) : the x coordinate of one point, and the y coordinate of the other.
now, we are looking for the midpoint. this midpoint cuts the original line/hypotenuse in half creating a scaling factor of 1/2.
when we create now a similar triangle based on that "half- Hypotenuse", we need to use the same scaling factor also on the legs (the coordinate differences).
so, when we cut the coordinate differences also in half, we get the coordinates for the midpoint on the main line.
xm, ym are the coordinates of the midpoint.
xm = (x1 + x2)/2 = (-10-3)/2 = -13/2 = -6.5
ym = (y1 + y2)/2 = (-6+7)/2 = 1/2 = 0.5
so, the midpoint is (-6.5, 0.5)
You device 16.50÷130= .12
Answer:
Do you mean 2x<2 or
X <2 or do you mean x²<2
Step-by-step explanation:
If your question is X²<2
Then
Total outcomes=5
Possible outcomes=3(-1,0,1)
Probability of x²<2=3/5
If your question means probability of2x<2
Then
Total outcomes=5
Possible outcomes=3 (-2,-1,0)
Probability of 2x<2=3/5
If your question means x< 2
Then
Total outcomes=5
Possible outcomes=4 (-2,-1,0,1)
Probability of x <2 =4/5
If I have not answered your question
then you can comment and ask me if you have any doubts
Hope this helps
Answer:
x = 6
Step-by-step explanation:
Since, ∠1 ≅ ∠2
By angle bisector theorem,
By substituting the measures of each side in the given ratio of the sides,
12 = x(x - 4)
12 = x² - 4x
x² - 4x - 12 = 0
x² - 6x + 2x - 12 = 0
x( x - 6) + 2(x - 6) = 0
(x + 2)(x - 6) = 0
x = -2, 6
Since, measure of the sides can't be negative, x can not be negative.
Therefore, x = 6 will be the answer.
Answer:
Mean of a grouped data is
Sum of F x/ sum of frequency F
Sum of F = 5 + 15 + 13 + 10 + 7 = 50
to find x find the average of the two classes
That's
0 + 10/2 = 10/2 = 5
10+20/2 = 15
20 + 30 / 2 = 25
30+40 /2 = 35
40+ 50 / 2 = 45
Therefore sum of Fx = 5(5) + 15(15) + 13(25) + 10(35) + 7(45)
= 1240
Therefore
Mean = 1240/50
= 24.8cm
I hope this helps you
