Step-by-step explanation:
Let's say b is the rate of the boat in still water, and c is the rate of the current.
Distance = rate × time
Going upstream:
100 = (b − c) (5)
20 = b − c
Going downstream:
100 = (b + c) (2)
50 = b + c
Solve the system of equations using substitution or elimination. Using elimination, add the equations together:
70 = 2b
b = 35
c = 15
The boat's speed is 35 km/h, and the current's speed is 15 km/h.
Answer: The correct option is (A). angle 1.
Step-by-step explanation: In the given diagram, the measure of ∠3 is 105°.
We are to find the angle that must also measure 120°.
We know that the measures of two vertically opposite angles are equal.
In the given diagram, since ∠1 and ∠3 are vertically opposite angles.
So, the measures of ∠1 and ∠3 are equal.
That is,
m∠1 = m∠3.
Also, m∠3 = 105°.
Therefore, m∠1 = 105°.
Thus, the measure of angle 1 must be 105°.
Option (A) is correct.
Hi there
I=prt
P principle 8000
R interest rate 0.095
T time 120/360
I interest earned?
I=8,000×0.095×(120÷360)
I=253.33
Hope it helps
Answer:
$128.49
Step-by-step explanation:
4 gallons at $15.72 each is 4×$15.72 = $62.88
3 gallons at $21.87 each is 3×$21.87 = $65.61
The total purchase is ...
$62.88 +65.61 = $128.49
Tim will be spending $128.49 on paint.
Answer:
x = -1
Step-by-step explanation:
Given: 
Solve for x, When: 
Step by step:
