The speed of motorboat is 36 kmph and speed of current is 4 kmph.
Step-by-step explanation:
Distance covered in 4 hours = 160 km
Time took on return trip = 5 hours
Let,
x represent the speed of boat.
y represent the speed of current.
Combined speed of boat and current when in same direction = x+y
Speed of boat and current when travelling against = x-y
Distance = Speed * Time
Speed = 
x+y = 
x+y = 40 Eqn 1
x-y = 
x-y = 32 Eqn 2
Adding Eqn 1 and Eqn 2
Dividing both sides by 2
Putting x=36 in Eqn 1
The speed of motorboat is 36 kmph and speed of current is 4 kmph.
Keywords: linear equation, addition
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Answer:
3(n+5) ≥ -6
n ≥ -7
Step-by-step explanation:
3(n+5) ≥ -6
3n+15 ≥ -6
3n ≥ -21
n ≥ -7
Answer:
∠A = 166°
Step-by-step explanation:
We can imagine the parallel line to the left as a shifted version of the one on the right. As we move it further left along the line the in middle (called a <em>transversal</em>), ∠B will slide closer and closer to ∠A. Eventually, the two will totally coincide, showing that ∠B ≅ ∠A. We call ∠A and ∠B <em>corresponding angles</em>, because they can be made to perfectly overlap in that way.
Since corresponding angles are congruent, their measures must be equal, so in this example, we can say that
, and since 
and 
,
To solve for <em>x</em>, we can subtract 3x and 40° from both sides:
and divide both sides by 4:
We can now replace <em>x </em>with 18° in our expression for ∠A to find
