Answer:
Step-by-step explanation:
A regular polygon is a shape with equal sides and angles. Because of this, we can write the following equation to set two sides equal to each other:
Solving, we will get a in terms of b:
Now we can substitute a for (b+3) into our equation:
Therefore, the length of each side of this polygon is 
.
Since the perimeter of the polygon consists of all five sides, the perimeter is:
We have to determine the equation of the line passing through the point (2,-5) and parallel to the line 
When two lines are parallel, then the slopes of the two lines are equal.
Equation of line with point 
and slope 'm' is given by:
Since, we have to determine the equation of a line with point (2,-5).
So, the equation of the line is : 
Since, the line is parallel to the line 
So, 
So, slope of the line 'm' is 
.
Therefore, the equation of the line is:
Therefore, is the required equation of the line.
Answer: OPTION C.
Step-by-step explanation:
It is important to know the following:
<u> Dilation:</u>
- Transformation in which the image has the same shape as the pre-image, but the size changes.
- Dilation preserves betweenness of points.
- Angle measures do not change.
<u>Translation:</u>
- Transformation in which the image is the same size and shape as the pre-image.
- Translation preserves betweenness of points.
- Angle measures do not change.
Therefore, since the Square T was translated and then dilated to create Square T'', we can conclude that the statement that explains why they are similar is:
<em>Translations and dilations preserve betweenness of points; therefore, the corresponding sides of squares T and T″ are proportional.</em>
The measure of the third angle is 50 because a triangle has a sum of 180 degrees by angle.
so... 46+84=130 and to get to 180, the last angle has to be worth 50.
3.1
3.6
4.2
4.5
4.9
5.0
Hope it helps
