Answer:
15 miles
Step-by-step explanation:
Let 
be the miles in the circular park path, 
the time Louisa takes to finish and 
the time Calvin takes to finish both in hours.
Then , the longitude is equal to the velocity times the time used to finish. So
And the difference between Louisa's time and Calvin' time is 30 minutes, half an hour. So:
Three equations, three unknowns, the system can be solved.
Equalizing the equation with x :
In this last equation replace with the other equation and solve:
With Louisa's time find x:
Answer:
m<C = 42°
Step-by-step explanation:
Given:
m<A = (2x - 2)°
m<C = (4x - 6)°
m<DBC = (5x + 4)°
Thus:
m<DBC = m<A + m<C (exterior angle theorem of a triangle)
(5x + 4)° = (2x - 2)° + (4x - 6)°
Solve for x
5x + 4 = 2x - 2 + 4x - 6
Collect like terms
5x + 4 = 6x - 8
5x - 6x = -4 - 8
-x = -12
Divide both sides by -1
x = 12
✔️m<C = (4x - 6)°
Plug in the value of x
m<C = 4(12) - 6 = 48 - 6
m<C = 42°
Answer:
70
Step-by-step explanation:
I would do 40 + 30 = 70
180-70 = 110
110 is the last angle bc all angles add to 180 in a triangle
Then 180 - 110 = 70 for angle 1 because their supplementary
I don't know if you could just add the 2 inside angles but I would do it this way to be safe until I know for sure.
Answer:
C) $3,100-$1,310=$1,790
Step-by-step explanation:
Expenses :
150+850+110+70+90+40= $1,310
Income :
$3,100
$3,100 - $1,310 = $1,790
The answer to your question is 0
