Answer: your answers are correct. I inserted an image of the answers.
V=

note, r and R are differnt
so multipl both sides by (r+R)
V(r+R)=12R
distribute
Vr+VR=12R
minus VR from both sides
Vr=12R-VR
undistribute R
Vr=R(12-V)
divide both sides by (12-V)

or
Answer:
Jim's sister age now is ( 2x - 2) years.
Step-by-step explanation:
Given
Jim will be x years old in two years
At that time, his sister will be twice as old as he will be
Thus, the age of sister in two years = 2*Jim's age in 2 years
the age of sister in two years = 2*x years = 2x years
Jim's sister age now will be 2 years lesser than the age found above which is her age after two year
Jim's sister age now = age of sister in two years - 2 years
Jim's sister age now = 2x years - 2 years
Jim's sister age now = ( 2x - 2) years
consider X-axis along the east-west direction and north-south direction along Y-axis
A = magnitude of distance traveled by hiker in north-east direction = 30 kilometer
θ = angle of direction of displacement of the hiker relative to x-axis or east direction = 45 degree counterclockwise
A' = component of distance traveled by the hiker along the east direction.
Since the angle is given with the x-axis, the Sin provides the component in Y-direction. hence
Using the equation
A' = A Sinθ
Inserting the values
A' = (30) Sin45
A' = 21.2 km
Answer:
If two parallel lines are cut by a transversal,then alternate interior angles are congruent.
Step-by-step explanation: