Answer:
We need the grid to figure this out
Let r = usual driving rate
let t = usual driving time
We need to figure out t
The distance she covers in her usual time at her usual rate is r*t
The distance she covers in her new time at her new rate is:
(1+t)*((2/3)r)
Set this equal to each other and solve for t.
rt = (2/3)r + (2/3)rt
(1/3)rt = (2/3)r
(1/3)t = (2/3)
t = 2
So her usual time is 2 hours. (There's probably a faster way to do this)
Answer:
Provided in the picture below.
Step-by-step explanation:
Provided in the picture below.
∠ROT=160°
∠SOT=100°
Now ∠SOR= ∠ROT - ∠SOT
∠ SOR = 160°-100°
∠ SOR =60°
It is given that measure of angle ROQ to equals the measure of angle QOS equals the measure of angle POT.
∠SOQ + ∠QOR = 60°
But ∠SOQ = ∠QOR
2∠SOQ=60°
∠SOQ=60°÷2
∠SOQ =30°
Also ∠POT=∠SOQ=∠ROQ=30°
Answer:

Step-by-step explanation:
Let the coordinate of the points W, V and R are
and
respectively.
The coordinate of the section point,
which divides the line joining the two points
and
in the ration
is
and
.
The given ration is, 

.
The exact point can be determined by putting the value of the exact coordinate in the above-obtained formula.