Aboat has a speed of 5 mph in calm water. it takes the boat 3 hours to travel upstream but only 2 hours to travel the same distance downstream. using the data in the table, what is the value of c, the speed of the current?

The speed of the current is 1 mph.

Step-by-step explanation:

Let c be the speed of the current.

Speed of boat in cal water = 5 mph

Speed of boat in upstream = (5-c) mph

Speed of boat in downstream = (5+c) mph

Formula for distance:

It is given that it takes the boat 3 hours to travel upstream but only 2 hours to travel the same distance downstream.

Isolate variable terms.

Divide both sides by -5.

Therefore the speed of the current is 1 mph.

2 x^2 -3x+p

sum of roots = 3/2

let other root be x

3+ x = 3/2

x= 3/2 - 3 = -3/2

product of roots = p/2

3× -3/2 = p/2

-9 = p

⭐⭐

∠1≅∠2 by the alternate exterior angles theorem.

step-by-step explanation:

given, a ∥ b and ∠1 ≅ ∠3 .we have to prove that e ∥ f

we know that ∠1≅∠3 and that a || b because they are given. we see that by the alternate exterior angles theorem. therefore, ∠2≅∠3 by the transitive property. so, we can conclude that e || f by the converse alternate exterior angles theorem.

we have to fill the missing statement.

transitivity property states that if a = b and b = c, then a = c.

now, given ∠1≅∠3 and by transitivity property ∠2≅∠3 .

hence, to apply transitivity property one angle must be common which is not in result after applying this property which is ∠1.

the only options in which ∠1 is present are ∠1 and ∠2, ∠1 and ∠4

∠1 and ∠4 is not possible ∵ after applying transitivity we didn't get ∠4.

hence, the missing statement is ∠1≅∠2.

so, ∠1≅∠2 by the alternate exterior angles theorem.