First, let's start off, let us define what are corresponding angles. When a transversal, which is a line that passes through two parallel lines, then the angles in the same corners are congruent.
Using this definition, the angles ∠2 is congruent to ∠6.
Answer:
Both the boats will closet together at 2:21:36 pm.
Step-by-step explanation:
Given that - At 2 pm boat 1 leaves dock and heads south and boat 2 heads east towards the dock. Assume the dock is at origin (0,0).
Speed of boat 1 is 20 km/h so the position of boat 1 at any time (0,-20t),
Formula : d=v*t
at 2 pm boat 2 was 15 km due west of the dock because it took the boat 1 hour to reach there at 15 km/h, so the position of boat 2 at that time was (-15,0)
the position of boat 2 is changing towards east, so the position of boat 2 at any time (-15+15t,0)
Formula : D=
⇒ 
Now let 
∵ 
⇒ t= 450/1250
⇒ t= .36 hours
⇒ = 21 min 36 sec
Since F"(t)=0,
∴ This time gives us a minimum.
Thus, The two boats will closet together at 2:21:36 pm.
Answer:
See Explanation
Step-by-step explanation:
Your question is incomplete, as the equations or graph or table(s) were not given.
However, I'll give a general way of solving this.
Take for instance, the equations are:


To do this, we start by equating both equations.

i.e.

Collect Like Terms

Take LCM


Cross Multiply


Make x the subject

Substitute 3/4 for x in 



Hence:

Answer:
The answer would be 0.625
Answer:
0.1
Step-by-step explanation:
The <em>common ratio</em> of a sequence is the number you multiply one term to get the next one. Here, we multiply 0.1 by 0.1 to get 0.01, and 0.01 by 0.1 to get 0.001, so our common ratio is 0.1.