Given:

In the given figure, PS=x, RS=35, UV=20, VW=25 and TW=15
To find:
The scale factor from PQRS to TUVW.
Solution:
We have,

We know that the corresponding sides of similar figures are proportional. The scale factor is the ratio of one side of image and corresponding side of preimage.
The scale factor is:



Therefore, the scale factor from PQRS to TUVW is
.
Answer:
Sara earned a commission of <em>$2,300.</em>
Step-by-step explanation:
To find the answer we will first<em> divide 5 by 100</em> and we get <em>0.05</em>. Now <em>multiply $46,000 by 0.05 </em>and we get <em>$2,300</em>. Therefore, <em>$2,300 is our answer.</em>
Answer:
15
Step-by-step explanation:
pythag theorum
The point of intersection is the point where lines intersect.
<em>There will be 595 intersections for 35 lines, where no 3 lines are concurrent.</em>
<em />
Given
<em />
<em> --- the number of lines</em>
<em />
<em> --- no three lines are concurrent</em>
<em />
When no three line are concurrent, it means that no three lines meet at the same point.
<u>So, the sequence of intersection is:</u>
- <em>0 intersection for 1 line</em>
- <em>1 intersection for 2 lines</em>
- <em>3 intersections for 3 lines</em>
- <em>6 intersections for 4 lines</em>
<em />
Following the above sequence, the number of intersections for n lines is:

In this case, 
So, we have:




<em>Hence, there will be 595 intersections for 35 lines, where no 3 lines are concurrent.</em>
<em />
Read more about lines of intersections at:
brainly.com/question/22368617
Answer:

Step-by-step explanation:
Given



Required
Determine P(Gray and Blue)
Using probability formula;

Calculating P(Gray)



Calculating P(Gray)



Substitute these values on the given formula


