The plane PRS passes through the points P, R and S. So it contains the line RS. Also the plane QRS passes through the points Q, R and S. So it contains the line RS as well. Since both the planes contain the line RS, the line RS must be the intersection of plane PRS and QRS
The length of the dilated line segment is 80 units.
<h3>What is
dilation?</h3>
Dilation is the increase or decrease in the size of a figure or object.
The segment with endpoints (10,40) and (70,120) is dilated by a factor of 4/5 to get (8, 32) and (56, 96).
The distance between points (8, 32) and (56, 96) is:

The length of the dilated line segment is 80 units.
Find out more on dilation at: brainly.com/question/10253650
Answer:
t + 12 = s
Step-by-step explanation:
t (Megan's trophies) + 12 = s (Sebastian's trophies)
Answer:
Let x represents the number of pants and y represents the number of shirts.
As per the statement:
Since, a clothing store are selling pants for $8.99 and shirts for $3.99
then;
total number of Pants cost is, $8.99x and total number of Shirt cost is, $3.99
Also, it is given that: You can spend as much as $60 and want to buy at least two pairs of pants.
then, we have the equation of inequality;
;......[1] where x, y are natural number.
x-intercept:
Substitute the value y= 0 in [1] and solve for x;


Simplify:

Since, x is in natural number;

Similarly.
For y-intercept:
Substitute the value x= 0 in [1] and solve for x;


Simplify:


Therefore, we have
;
and 