<h2>Answer:
</h2>
The coordinates of the point that makes the division in the given ratio is (0,3)
Step-by-step explanation:
Here, we want to find the point on the line segment that divides the line segment in the ratio 1:2
We simply use the internal division formula
That would be;
(x,y) = (nx1 + mx2)/(m + n) , (ny1 + my2)/(m + n)
m = 1 and n = 2
(x1,y1) = (4,9)
(x2,y2) = (-8,-9)
Substituting these values into the formula, we have;
2(4) + 1(-8)/(1 + 2) , 2(9) + 1(-9)/(2 + 1)
= (8-8)/3 , (18-9)/3
= (0,3)
Answer: The third choice
Step-by-step explanation:
For the equation of a circle, you would do the opposite signs of the center coordinates and square the radius.
Hello!
We know that the sum of all angles in a triangle is 180 degrees. This can be represented by the following formula:
(angle 1) + (angle 2) + (angle 3) = 180
Insert all known values and variables of triangle ABC into the formula above:
30 + (80 + y) + y = 180
Simplify and combine like terms:
30 + 80 + y + y = 180
110 + 2y = 180
Now subtract 110 from both sides of the equation:
2y = 70
Divide both sides by 2:
y = 35
We have now proven that Y is equal to 35 degrees. Using the known value of Y, we can find the value of X using the same formula as above. Begin by inserting all known values and variables of triangle BCD:
y + y + x = 180
(35) + (35) + x = 180
Combine like terms:
70 + x = 180
Subtract 70 from both sides of the equation:
x = 110
We have now proven that X is equal to 110 degrees. Therefore, considering the known values of X and Y, the answer to this problem is C.
I hope this helps!
7/12 of 1 hour:
1 hour = 60 min.
7/12 * 60
7 * 5 = 35
Francis ran 2 1/2 miles in 35 min.
2 1/2 = 5/2
5/2 miles = 35 min
x miles = 60 min
(Cross Multiply)
5/2 * 60 = 35x
5 * 30 = 35x
150 / 35 = x
x = 30 / 7 = 4 2/7 miles
Francis ran 4 2/7 miles in one hour.
Answer:
1 AND 3 /// 4 AND 2
Step-by-step explanation:
vertical angles
