Answer:
9x-25 = 5x+7 (reason: opposite sides of a parallelogram are equal)
4x-25 = 7
4x = 7+25
4x = 32
x = 8
The value of y is 40 degree , Option B is the correct answer.
<h3>What is Angle Sum Property ?</h3>
According to angle sum property, the sum of all angles of a triangle is equal to 180 degree.
It is given in the question a triangle , here
the angles given are 2y , y+10 , 50 degree
From the property ,
2y + y + 10 +50 = 180
3y +60 = 180
3y = 120
y = 40 degree
Therefore The value of y is 40 degree , Option B is the correct answer.
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Answer:
Step-by-step explanation:
The rectangle ABCD has vertices A(-2,2), B(6,2), C(6,3) and D(-2,3).
Now, length of side AB = [6 - (- 2)] = 8 units.
{Since the line AB is parallel to the x-axis, so the length of the segment AB will be the difference between the x-coordinates of the points A and B}
Again, line BC is parallel to y-axis and hence the length BC = (3 - 2) = 1 units.
Therefore, the area of the rectangle ABCD will be (8 × 1) = 8 sq. units. (Answer)
Given parameters:
Midpoint of AB = M(3, -1)
Coordinates of A = (5,1)
Unknown:
Coordinates of B = ?
Solution:
To find the mid point of any line, we use the expression below;
and 
where
and
= coordinates of the mid points = 3 and -1
x₁ = 5 and y₁ = 1
x₂ = ? and y₂ = ?
Now let us input the variables and solve,
3 =
and -1 = 
5 + x₂ = 6 -2 = 1 + y₂
x₂ = 1 y₂ = -2 -1 = -3
The coordinates of B = 1, -3
Usually when you do expressions involving subtraction you can do Keep, Change ,Change
That means you keep the sign of the first number and change the other two signs.
It is best you rewrite the expression to addition because a lot of people don't do well with subtracting .