Given :
M(6,5) is the mid-point of the straight line joining A(2 , 3) to the
point B.
To Find :
The coordinates of B.
Solution :
Let, coordinates of point B is ( h , k ) .
It is given that M is the mid - point of the straight line joining points A and B.
Coordinates of M is given by :
Therefore, coordinates of point B is ( 10 , 7 ).
divide the base by the sin of the opposite angle
base = 2
opposite angle = 30 degrees
2/sin(30) = 4
x = 4
Answer:
Step-by-step explanation:
Since we know that Ivan finished all his science problems (3) we know that there are only math problems remaining
substract the science problems from the total 43-3=40
And now we can determine the amount of math problems
4/5 = 40/x where x is the total amount of math problems Ivan was assigned
cross multiply
4x = 5*40
4x=200
isolate the variable
4x/4 = 200/4
x=50
So Ivan was assigned a total of 50 math problems
(Note*) since there are 40 math problems finished 40/50 is equal to 4/5. Just a tip if you don't want to do the whole calculation
Hope this helps!
Given the figure of a cyclic quadrilateral
The sum of the opposite angles = 180
so, we can write the following equations:
we will find (x) from equation (1):
x = 180 - 100 = 80
We will find (y) from equation (2):
2y = 180 - 102
2y = 78
y=78/2 = 39
So, the answer will be:
x = 80
y = 39
The bottom left option is when it is reflected over the x axis, the second to last option on the left is when it is reflected of the y axis, and the middle option is when it is reflected over the line y = x
Hope this helps :)
