Answer:
Correct answer is option <em>D)</em> Construct the bisector of an angle.
Step-by-step explanation:
Angle bisector of an angle is a line that divides the angle in two equal parts.
A Line <em>BD</em> is called the angle bisector of 
if
Please refer to image attached.
As per the question image, if the line PW is joined it will be the angle bisector of 
.
Steps of construction of angle bisector:
1. Draw the angle QPR.
2. Open compass and make an arc that will cut the two lines on points Q and R respectively as shown in question figure.
3. With the same compass opening, put the compass on Q and make an arc in the area between .
4. Draw an arc keeping the compass on R to cut the previous arc on point W.
Line joining the points P and W is the angle bisector of .
So, Correct answer is option <em>D)</em> Construct the bisector of an angle.
Answer:
The dilation on any point of the rectangle is 
.
Step-by-step explanation:
From Linear Algebra, we define the dilation of a point by means of the following definition:
![G'(x,y) = O(x,y) +k\cdot [G(x,y)-O(x,y)]](https://tex.z-dn.net/?f=G%27%28x%2Cy%29%20%3D%20O%28x%2Cy%29%20%2Bk%5Ccdot%20%5BG%28x%2Cy%29-O%28x%2Cy%29%5D)
(1)
Where:
- Coordinates of the point G, dimensionless.
- Center of dilation, dimensionless.
- Scale factor, dimensionless.
- Coordinates of the point G', dimensionless.
If we know that 
, 
and 
, then scale factor is:
![(5,-5) = (0,0) +k\cdot [(2,-2)-(0,0)]](https://tex.z-dn.net/?f=%285%2C-5%29%20%3D%20%280%2C0%29%20%2Bk%5Ccdot%20%5B%282%2C-2%29-%280%2C0%29%5D)
The dilation on any point of the rectangle is:
![P'(x,y) = (0,0) + \frac{5}{2}\cdot [P(x,y)-(0,0)]](https://tex.z-dn.net/?f=P%27%28x%2Cy%29%20%3D%20%280%2C0%29%20%2B%20%5Cfrac%7B5%7D%7B2%7D%5Ccdot%20%5BP%28x%2Cy%29-%280%2C0%29%5D)
(2)
The dilation on any point of the rectangle is .
180
This is because 12x5x3 = 180
Answer:
The correct solution is "7.3%".
Step-by-step explanation:
It seems that the given question is incomplete. Find below the attachment of the complete and appropriate query.
According to the question,
The total married couples are,
= 55,550,000
where,
Both native = 79.5%
Both foreign = 13.2%
Now,
The percentage of couple that is one native as well as one foreign will be:
= 
= 
(%)
