Answer:
Step-by-step explanation:
To determine time "t", we know that:
Where "d" denotes distance, "r" signifies rate, and "t" means time.
Now isolating the time "t":
Initially, we convert miles into feet.
Since , thus
Recognizing that:
We substitute these values into to find time in seconds:
Given:
The resulting time in minutes is:
Answer:
The diagram displaying triangle ABC and the relevant statement along with the answer options is attached.
According to this, the answer is: The length of DC is 28.
Explanation:
From the diagram and the data that segment AB equals segment AC, you comprehend that angles B and C of the isosceles triangle ABC are congruent.
Triangles BED and CFD possess two sets of congruent angles (angle B is congruent to angle D, and angles BED and DFC are congruent), indicating that triangles BED and CFD are similar.
This similarity leads to the proportional relationship:
Given that the ratio of DE to DF is 5:7, we have:
Also, it is stated that segment BC is 48.
From the figure:
This results in two equations:
Now, we define DC = x, which implies DB = 48 - x, leading to the equation:
Solve this:
Therefore, the length of segment x = DC = 28.
