Answer:
y=0.8x+2.1
x= 12 miles
Step-by-step explanation:
Using the standard charge of 0.8 per mile and a fixed charge of $2.1. Let x represent the miles covered then the expression for coat at any given mile will be y=0.8x+2.1
Substituting $11.7 for y then we can find the valje of x as 11.7=0.8x+2.1
0.8x=11.7-2.1=9.6
X=9.6/0.8=12 miles
Given:
Figure of similar triangles.
To find:
The value of x and the measure of NR.
Solution:
In triangle RST and RMN,
(Vertically opposite angles)
(Alternate interior angles)
(By AA property of similarity)
We know that, corresponding sides of similar triangles are proportional.




On further simplification, we get



The value of x is 7.
Now,




Therefore, the value of x is 7 and the measure of NR is 12 units.
300^2 + 500^2 = c^2
9000 + 250000=c^2
340000=c^2
sqrt (340000) = c
c = 583
300 + 500 + 583 = 1383
1380 is the perimeter