Answer: 6
Step-by-step explanation:
Answer:
Step-by-step explanation:
Coordinates of the vertices of quadrilateral ABCD are,
A(-5, 8), B(-3, 10), C(1, 6) and D(-3, 5)
Rule for the rotation of point (x, y) by 180° about the origin is,
(x, y) → (-x, -y)
By applying this rule image of ABCD will be,
A(-5, 8) → A'(5, -8)
B(-3, 10) → B'(3, -10)
C(1, 6) → C'(-1, -6)
D(-3, 5) → D'(3, -5)
Answer:
The coordinates of point D( 4,4)
Step-by-step explanation:
<u><em>Step(i):-</em></u>
Given points are E(10,4) and B(16,4)
'E' is the mid-point of segment BD
Let D(x₁, y₁) be a point
E = midpoint of segment BD
![(10,4) = (\frac{x_{1} +x_{2} }{2} , \frac{y_{1} +y_{2} }{2} )](https://tex.z-dn.net/?f=%2810%2C4%29%20%3D%20%28%5Cfrac%7Bx_%7B1%7D%20%2Bx_%7B2%7D%20%7D%7B2%7D%20%2C%20%5Cfrac%7By_%7B1%7D%20%2By_%7B2%7D%20%7D%7B2%7D%20%29)
20 = x₁ + 16
20-16 = x₁
x₁ =4
<u><em>Step(ii):-</em></u>
![\frac{y_{1} +y_{2} }{2} = 4](https://tex.z-dn.net/?f=%5Cfrac%7By_%7B1%7D%20%2By_%7B2%7D%20%7D%7B2%7D%20%20%3D%20%204)
![\frac{4 +y_{2} }{2} = 4](https://tex.z-dn.net/?f=%5Cfrac%7B4%20%2By_%7B2%7D%20%7D%7B2%7D%20%20%3D%20%204)
4 + y₂ = 8
y₂ = 8-4 =4
The co-ordinates of point D( 4,4)
Answer:
How to Calculate a Rate. "Rate" simply means the number of things per some other number, usually 100 or 1,000 or some other multiple of 10. A percentage is a rate per 100. Infant mortality rates are calculated per 1,000.
Step-by-step explanation: