Answer:
The number of miles Lori drive be 134 miles .
Step-by-step explanation:
Let us assume that the number of miles Lori be x.
As given
Lori rented a car for one day.
The daily rental rate was $12.50 plus 25 cents per mile.
As 1 dollar = 100 cent



As given
The total cost of her rental was $46.
Than the equation becomes
46 = 12.50 + 0.25x
46 - 12.50 = 0.25x
33.5 = 0.25x

x = 134 miles
Therefore the number of miles Lori drive be 134 miles .
Answer:
Step-by-step explanation:
The detailed step by step calculation is as shown in the attached file
Answer:
S 75°E
S 55°E
Step-by-step explanation:
Take the law if sines of a triangle:
Where,
a = 28 miles
B = 25°
b = 12 miles
First solve for A, using the law of sines:


Cross multiply:



Since A = 80.44° find A supplement, A`:
A` = 180 - 80.44
A` = 99.56°
If A` + B < 180°, find C.
Thus,
A` + B = 99.56 + 25 = 124.56
We can see that A` + B < 180
Find C:
C = 180 - (80.44+25) = 74.56° ≈ 75°
C` = 180 - (99.56+25) = 55.44° ≈ 55°
Rewrite in bearing form:
S 75°E
S 55°E
X=180-2(60)
=180-120
=40
The length of the other angle is 40°.