Answer:
Option A is correct.i.e., ZY = VZ
Step-by-step explanation:
Given: WZ is perpendicular Bisector of VY
To find: conclusion from options
Perpendicular Bisector is a line which makes right angle at the point of intersect and cuts the line segment from middle on which it is drawn.
Here, WZ is perpendicular bisector on VY.
⇒ Case 1 :
If W is point of intersection then VW = YW
⇒ Case 2 :
If Z is point of intersection then VZ = YZ
Also when we join other point of perpendicular bisector to the end point of line segment we get an isosceles triangle.
Shown in figure.
So, In case 1 : After joining Z to V & Y we get VZ = YZ
and In case 2: After joining W to V & Y we get VW = WY
Therefore, Option A is correct.i.e., ZY = VZ
Answer:
The answer to your question is 10 units
Step-by-step explanation:
Data
A (-3, -1)
B (-3 , 5)
length of a side = 8 units
Process
1.- Calculate the distance between A and B
dAB =
x1 = -3 y1 = -1
x2 = -3 y2 = 5
-Substitution
dAB =
dAB =
dAB =
dAB = 6 u
2.- Calculate the diagonal using the Pythagorean theorem.
c² = a² + b²
c² = 6² + 8²
c² = 36 + 64
c² = 100
c = 10 units
- Conclusion
The diagonal of the rectangle measures 10 units
Answer:
C. 3.4 feet
Step-by-step explanation:
Let, the amount of increase be 'x' feet.
As, the length and width of the garden are 20 ft and 12 ft respectively.
It is given that the area of the new garden is 360 ft²
Since, the length and width are increased by 'x'.
The new length and width are (x+20) ft and (x+12) ft respectively.
So, we get,
New area, = length × breadth = (x+20) × (x+12)
i.e. 360 =
i.e.
i.e. (x+35.4)(x-3.4)=0
i.e. x = -35.4 and x= 3.4
Since, the value of x cannot be negative.
Thus, x = 3.4 feet.
